C₂×C₈₉×D₈₅ #44475475

order	30260
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₈₉×D₈₅
unambiguous semidirect product	(C₂×C₅)⋊(D₁₇×C₈₉)
unambiguous semidirect product	(C₂×C₁₇)⋊(D₅×C₈₉)

	subgroup	G/H
center, hypercenter	C₂×C₈₉	D₈₅
commutator, cosocle, hypocenter	C₅×C₁₇	C₂²×C₈₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₇×C₈₉	C₂
LCS	G ▷ C₅×C₁₇
UCS	C₁ ◁ C₂×C₈₉

40 conjugacy classes of subgroups.

μ_t(G) = 15130

7832 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30260, 50);