C₂²×C₅×C₇×C₇₃⋊C₃ #44501455

order	30660
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₇×C₇₃⋊C₃

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

80 conjugacy classes of subgroups.

μ_t(G) = 10220

3780 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30660, 218);