C₂₃×D₂₁⋊D₁₃ #38737442

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

Aliases

direct product	C₂₃×D₂₁⋊D₁₃
unambiguous semidirect product	D₂₁⋊(C₂₃×D₁₃)
unambiguous semidirect product	D₃₉⋊(D₇×C₂₃)
unambiguous semidirect product	D₉₁⋊(D₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₂₃	D₂₁⋊D₁₃
commutator, cosocle, hypocenter	C₃×C₇×C₁₃	C₂²×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₂₃	C₂²
LCS	G ▷ C₃×C₇×C₁₃
UCS	C₁ ◁ C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 6279

2001 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25116, 161);