C₁₃×D₇×D₈₅ #44525944

order	30940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₁₃×D₇×D₈₅
unambiguous semidirect product	(C₅×D₇)⋊(C₁₃×D₁₇)
unambiguous semidirect product	(D₇×C₁₇)⋊(D₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₁₃	D₇×D₈₅
commutator, cosocle, hypocenter	C₅×C₇×C₁₇	C₂²×C₁₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₁₇	C₂²
LCS	G ▷ C₅×C₇×C₁₇
UCS	C₁ ◁ C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 7735

2860 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30940, 94);