C₂×C₃⋊D₃×C₃₁₁ #26014189

order	11196
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃₁₁ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₂×C₃⋊D₃×C₃₁₁
unambiguous semidirect product	(C₂×C₃)⋊(D₃×C₃₁₁)

	subgroup	G/H
center, hypercenter	C₂×C₃₁₁	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂²×C₃₁₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₃₁₁	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₂×C₃₁₁

60 conjugacy classes of subgroups.

3732 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11196, 27);