C₂²×C₁₉×C₁₂₇⋊C₃ #44394195

order	28956
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₉×C₁₂₇⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₉	C₁₂₇⋊C₃
commutator, cosocle, hypocenter	C₁₂₇	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₁₉×C₁₂₇	C₃
LCS	G ▷ C₁₂₇
UCS	C₁ ◁ C₂²×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 9652

3420 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28956, 54);