C₇×#3622 #11745744

order	952
isoclinism	isoclinic class of D₁₇
automorphism	?
homology	Abelianization (H₁) = C₇×C₈ · Schur multiplier (H₂) = C₁

Aliases

derived, Sylow	C₁₇ ⋊ C₇×C₈
Hall	C₇×C₁₇ ⋊ C₈

16 conjugacy classes of subgroups.

minimal degree	μ(G) = 32
transitive degree	μ_t(G) = 952

A minimal faithful permutation representation — 2 generators on 32 points:

(1,2,3,4,5,6,7)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26,27,29,28,30,31,32);(8,9,11,13,15,17,19,21,23,24,22,20,18,16,14,12,10)

280 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(952, 2);