C₂²×C₅×C₃₉₇⋊C₃ #37558433

order	23820
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₅×C₃₉₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₅	C₃₉₇⋊C₃
commutator, cosocle, hypocenter	C₃₉₇	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₂²×C₅×C₃₉₇	C₃
LCS	G ▷ C₃₉₇
UCS	C₁ ◁ C₂²×C₅

40 conjugacy classes of subgroups.

μ_t(G) = 7940

2700 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23820, 45);