C₂×C₃×C₅×D₇×C₇₃ #44501460

order	30660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₇₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₅×D₇×C₇₃

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₇₃	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃×C₅×C₇₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₇×C₇₃	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃×C₅×C₇₃

80 conjugacy classes of subgroups.

μ_t(G) = 15330

10950 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30660, 223);