C₇×C₂₉×D₈₅ #46828511

order	34510
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₂₉×D₈₅
unambiguous semidirect product	C₅⋊(C₇×C₂₉×D₁₇)
unambiguous semidirect product	C₁₇⋊(C₇×D₅×C₂₉)

	subgroup	G/H
center, hypercenter	C₇×C₂₉	D₈₅
commutator, cosocle, hypocenter	C₅×C₁₇	C₂×C₇×C₂₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₇×C₂₉	C₂
LCS	G ▷ C₅×C₁₇
UCS	C₁ ◁ C₇×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 17255

8932 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34510, 12);