C₂²×C₇×C₂₃×C₁₃⋊C₃ #38737451

order	25116
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₇×C₂₃×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₇×C₂₃	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃×C₇×C₂₃
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₃×C₂₃	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂²×C₇×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 8372

4508 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25116, 170);