C₇₃×D₁₅⋊D₇ #44501446

order	30660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₇₃×D₁₅⋊D₇
unambiguous semidirect product	D₁₅⋊(D₇×C₇₃)
unambiguous semidirect product	D₂₁⋊(D₅×C₇₃)
unambiguous semidirect product	D₃₅⋊(D₃×C₇₃)

	subgroup	G/H
center, hypercenter	C₇₃	D₁₅⋊D₇
commutator, cosocle, hypocenter	C₃×C₅×C₇	C₂²×C₇₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₇₃	C₂²
LCS	G ▷ C₃×C₅×C₇
UCS	C₁ ◁ C₇₃

80 conjugacy classes of subgroups.

μ_t(G) = 7665

2847 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30660, 209);