C₂×C₃⋊D₃×C₆₆₁ #37558332

order	23796
automorphism	?
homology	Abelianization (H₁) = C₂²×C₆₆₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₆₆₁
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₆₆₁)

	subgroup	G/H
center, hypercenter	C₂×C₆₆₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₆₆₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₆₆₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₆₆₁

60 conjugacy classes of subgroups.

μ_t(G) = 11898

7932 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23796, 54);