D₃×C₇×C₁₃×D₂₃ #38737414

order	25116
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₇×C₁₃×D₂₃
unambiguous semidirect product	(D₃×C₂₃)⋊(C₂×C₇×C₁₃)
unambiguous semidirect product	(C₃×D₂₃)⋊(C₂×C₇×C₁₃)
unambiguous semidirect product	D₆₉⋊(C₂×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₃×D₂₃
commutator, cosocle, hypocenter	C₃×C₂₃	C₂²×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₂₃	C₂²
LCS	G ▷ C₃×C₂₃
UCS	C₁ ◁ C₇×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 6279

3549 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25116, 133);