C₂×C₃₂₇₁⋊C₅ #45658485

order	32710
automorphism	?
homology	Abelianization (H₁) = C₂×C₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₃₂₇₁⋊C₅
unambiguous semidirect product	(C₂×C₃₂₇₁)⋊C₅

Fitting, socle, Hall	C₂×C₃₂₇₁ ⋊ C₅
derived, Sylow	C₃₂₇₁ ⋊ C₂×C₅

	subgroup	G/H
center, hypercenter	C₂	C₃₂₇₁⋊C₅
commutator, cosocle, hypocenter	C₃₂₇₁	C₂×C₅
Frattini	C₁	G
Fitting, socle	C₂×C₃₂₇₁	C₅
LCS	G ▷ C₃₂₇₁
UCS	C₁ ◁ C₂

8 conjugacy classes of subgroups.

μ_t(G) = 6542

1318 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32710, 2);