C₈₃×D₂₂₃ #49149986

order	37018
automorphism	?
homology	Abelianization (H₁) = C₂×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₈₃×D₂₂₃
unambiguous semidirect product	C₂₂₃⋊(C₂×C₈₃)

Fitting, socle, Hall	C₈₃×C₂₂₃ ⋊ C₂
derived, Sylow	C₂₂₃ ⋊ C₂×C₈₃

	subgroup	G/H
center, hypercenter	C₈₃	D₂₂₃
commutator, cosocle, hypocenter	C₂₂₃	C₂×C₈₃
Frattini	C₁	G
Fitting, socle	C₈₃×C₂₂₃	C₂
LCS	G ▷ C₂₂₃
UCS	C₁ ◁ C₈₃

8 conjugacy classes of subgroups.

μ_t(G) = 18509

9379 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37018, 2);