Abstract group search results

Results (11 matches)

 

Label	Name	Order	Exponent	Nilp. class	Der. length	Comp. length	Rank	$\card{\mathrm{conj}(G)}$	Subgroups	Subgroup classes	Normal subgroups	Center	Central quotient	Commutator	Abelianization	$\card{\mathrm{Aut}(G)}$	$\card{\mathrm{Out}(G)}$	Tr. deg	Perm. deg	$\C$-irrep deg	$\R$-irrep deg	$\Q$-irrep deg	$\C$-rep deg	$\R$-rep deg	$\Q$-rep deg	Type - length
131072.b	$C_{256}\wr C_2$	$2^{17}$	$2^{9}$	$9$	$2$	$17$	$2$	$33152$	$7630$	$994$	$132$	$C_{256}$	$D_{256}$	$C_{256}$	$C_{2} \times C_{256}$	$2^{23}$	$2^{14}$	$512$	$512$	?	?	?	?	?	?	Nilpotent - 9
177147.bn	$C_3^7.C_3\wr C_3$	$3^{11}$	$3^{3}$	$9$	$3$	$11$	$2$	$251$			$24$	$C_3$		$None$	$C_{3} \times C_{9}$	$2 \cdot 3^{14}$	$2 \cdot 3^{4}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
177147.bp	$C_3^3.C_3^6:C_9$	$3^{11}$	$3^{3}$	$9$	$3$	$11$	$2$	$299$			$24$	$C_3$			$C_{3} \times C_{9}$	$2 \cdot 3^{14}$	$2 \cdot 3^{4}$	$27$	$27$	$9$	$18$	$18$	?	?	?	Nilpotent - 9
177147.bq	$C_3^7.C_3\wr C_3$	$3^{11}$	$3^{3}$	$9$	$3$	$11$	$2$	$299$			$24$	$C_3$		$None$	$C_{3} \times C_{9}$	$2^{2} \cdot 3^{14}$	$2^{2} \cdot 3^{4}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
177147.br	$C_3^8.(C_3\times C_9)$	$3^{11}$	$3^{3}$	$9$	$2$	$11$	$2$	$2235$			$24$	$C_3$	$C_3^8.C_9$	$None$	$C_{3} \times C_{9}$	$2^{2} \cdot 3^{17}$	$2^{2} \cdot 3^{7}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
177147.bu	$C_3^8.C_9:C_3$	$3^{11}$	$3^{3}$	$9$	$3$	$11$	$2$	$363$			$24$	$C_3$		$None$	$C_{3} \times C_{9}$	$2 \cdot 3^{14}$	$2 \cdot 3^{4}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
177147.by	$C_3^6.C_3^3:C_9$	$3^{11}$	$3^{3}$	$9$	$3$	$11$	$2$	$251$			$24$	$C_3$		$None$	$C_{3} \times C_{9}$	$3^{14}$	$3^{4}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
531441.k	$C_3^6.C_3^5.C_3$	$3^{12}$	$3^{3}$	$9$	$3$	$12$	$3$	$593$			$64$	$C_3$			$C_{3}^{3}$	$2^{2} \cdot 3^{16}$	$2^{2} \cdot 3^{5}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
531441.n	$C_3^6.C_3^5.C_3$	$3^{12}$	$3^{3}$	$9$	$3$	$12$	$3$	$593$			$64$	$C_3$			$C_{3}^{3}$	$2 \cdot 3^{16}$	$2 \cdot 3^{5}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
531441.o	$C_3^8.C_3.C_3^3$	$3^{12}$	$3^{3}$	$9$	$3$	$12$	$3$	$1025$			$64$	$C_3$			$C_{3}^{3}$	$2^{2} \cdot 3^{16}$	$2^{2} \cdot 3^{5}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9
1594323.b	$C_3^6.C_3^2\wr C_3$	$3^{13}$	$3^{3}$	$9$	$3$	$13$	$3$	$1683$			$104$	$C_3$			$C_{3}^{3}$	$2^{3} \cdot 3^{17}$	$2^{3} \cdot 3^{5}$	$27$	$27$	$9$	?	?	?	?	?	Nilpotent - 9