C₂×D₃×C₁₃×C₂₉⋊C₇ #44539803

order	31668
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₃×C₂₉⋊C₇
unambiguous semidirect product	C₃⋊(C₂²×C₁₃×C₂₉⋊C₇)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₃×C₂₉⋊C₇)
unambiguous semidirect product	(C₂×D₃×C₂₉)⋊(C₇×C₁₃)
unambiguous semidirect product	(C₂×D₃×C₁₃×C₂₉)⋊C₇

	subgroup	G/H
center, hypercenter	C₂×C₁₃	D₃×C₂₉⋊C₇
commutator, cosocle, hypocenter	C₃×C₂₉	C₂²×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₂₉	C₂×C₇
LCS	G ▷ C₃×C₂₉
UCS	C₁ ◁ C₂×C₁₃

80 conjugacy classes of subgroups.

μ_t(G) = 2262

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31668, 98);