C₂×D₃₉×C₂₉⋊C₇ #44539805

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

Aliases

direct product	C₂×D₃₉×C₂₉⋊C₇
unambiguous semidirect product	(C₂×C₃)⋊(D₁₃×C₂₉⋊C₇)
unambiguous semidirect product	(C₂×C₁₃)⋊(D₃×C₂₉⋊C₇)
unambiguous semidirect product	(C₂×C₂₉×D₃₉)⋊C₇

	subgroup	G/H
center, hypercenter	C₂	D₃₉×C₂₉⋊C₇
commutator, cosocle, hypocenter	C₃×C₁₃×C₂₉	C₂²×C₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₃×C₂₉	C₂×C₇
LCS	G ▷ C₃×C₁₃×C₂₉
UCS	C₁ ◁ C₂

80 conjugacy classes of subgroups.

μ_t(G) = 2262

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31668, 100);