C₂×C₁₃×C₃⋊(D₂₉⋊C₇) #44539802

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

Aliases

direct product	C₂×C₁₃×C₃⋊(D₂₉⋊C₇)
unambiguous semidirect product	(C₂×C₃)⋊(C₁₃×D₂₉⋊C₇)
unambiguous semidirect product	(C₂×D₈₇)⋊(C₇×C₁₃)
unambiguous semidirect product	(C₂×C₂₉⋊C₇)⋊(D₃×C₁₃)
unambiguous semidirect product	(C₂×C₁₃×D₈₇)⋊C₇

	subgroup	G/H
center, hypercenter	C₂×C₁₃	C₃⋊(D₂₉⋊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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31668, 97);