C₂²×C₃×C₂₃×C₃₁⋊C₃ #38787353

order	25668
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₂₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₂₃×C₃₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₂₃	C₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₂²×C₃²×C₂₃
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₂₃×C₃₁	C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂²×C₃×C₂₃

120 conjugacy classes of subgroups.

μ_t(G) = 8556

3588 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25668, 100);