C₅×D₃₄₅₇ #46828955

order	34570
automorphism	?
homology	Abelianization (H₁) = C₂×C₅ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃₄₅₇
unambiguous semidirect product	C₃₄₅₇⋊(C₂×C₅)

Fitting, socle, Hall	C₅×C₃₄₅₇ ⋊ C₂
derived, Sylow	C₃₄₅₇ ⋊ C₂×C₅

	subgroup	G/H
center, hypercenter	C₅	D₃₄₅₇
commutator, cosocle, hypocenter	C₃₄₅₇	C₂×C₅
Frattini	C₁	G
Fitting, socle	C₅×C₃₄₅₇	C₂
LCS	G ▷ C₃₄₅₇
UCS	C₁ ◁ C₅

8 conjugacy classes of subgroups.

μ_t(G) = 17285

8650 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34570, 2);