C₂×C₁₉×D₁₁×C₁₃⋊C₃ #45656764

order	32604
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₁₉×D₁₁×C₁₃⋊C₃
unambiguous semidirect product	C₁₁⋊(C₂²×C₁₉×C₁₃⋊C₃)
unambiguous semidirect product	(C₂×C₁₁)⋊(C₂×C₁₉×C₁₃⋊C₃)
unambiguous semidirect product	(C₂×C₁₃×D₁₁)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉	D₁₁×C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₁×C₁₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₁₁×C₁₃×C₁₉	C₂×C₃
LCS	G ▷ C₁₁×C₁₃
UCS	C₁ ◁ C₂×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 5434

1862 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32604, 114);