C₂×C₃⋊D₃×C₆₈₃ #37589670

order	24588
automorphism	?
homology	Abelianization (H₁) = C₂²×C₆₈₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₆₈₃
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₆₈₃)

	subgroup	G/H
center, hypercenter	C₂×C₆₈₃	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₆₈₃
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₆₈₃	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₆₈₃

60 conjugacy classes of subgroups.

μ_t(G) = 12294

8196 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24588, 29);