C₂×C₅×D₇×C₇₃⋊C₃ #44501374

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

Aliases

C₂×C₅×D₇×C₇₃⋊C₃

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

80 conjugacy classes of subgroups.

μ_t(G) = 5110

1350 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30660, 137);