C₃×C₉⋊D₂₇ #13090858

order	1458
isoclinism	isoclinic class of C₉⋊D₂₇
automorphism	?
homology	Abelianization (H₁) = C₂×C₃ · Schur multiplier (H₂) = C₉

Aliases

Fitting, Sylow	C₃×C₉×C₂₇ ⋊ C₂
derived	C₉×C₂₇ ⋊ C₂×C₃

	subgroup	G/H
center, hypercenter	C₃	C₉⋊D₂₇
commutator, cosocle, hypocenter	C₉×C₂₇	C₂×C₃
Frattini	C₃×C₉	C₃×C₃⋊D₃
Fitting	C₃×C₉×C₂₇	C₂
socle	C₃³	C₃⋊D₉
LCS	G ▷ C₉×C₂₇
UCS	C₁ ◁ C₃

209 conjugacy classes of subgroups.

μ_t(G) = 486

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1458, 932);