C₂×C₃×C₁₉×D₈₃ #34038751

order	18924
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×C₁₉×D₈₃
unambiguous semidirect product	C₈₃⋊(C₂²×C₃×C₁₉)
unambiguous semidirect product	(C₂×C₈₃)⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₁₉	D₈₃
commutator, cosocle, hypocenter	C₈₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₈₃	C₂
LCS	G ▷ C₈₃
UCS	C₁ ◁ C₂×C₃×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 9462

4902 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18924, 34);