C₃²×C₇×D₅×C₄₇ #44444108

order	29610
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₇×C₄₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₇×D₅×C₄₇
unambiguous semidirect product	C₅⋊(C₂×C₃²×C₇×C₄₇)

	subgroup	G/H
center, hypercenter	C₃²×C₇×C₄₇	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃²×C₇×C₄₇
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₇×C₄₇	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃²×C₇×C₄₇

96 conjugacy classes of subgroups.

μ_t(G) = 14805

11844 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29610, 45);