C₂×C₂₉×C₁₉₃⋊C₃ #46777183

order	33582
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₂₉×C₁₉₃⋊C₃
unambiguous semidirect product	(C₂×C₁₉₃)⋊(C₃×C₂₉)
unambiguous semidirect product	(C₂×C₂₉×C₁₉₃)⋊C₃

	subgroup	G/H
center, hypercenter	C₂×C₂₉	C₁₉₃⋊C₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₂₉×C₁₉₃	C₃
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂×C₂₉

16 conjugacy classes of subgroups.

μ_t(G) = 11194

3886 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33582, 2);