A₄×C₁₉×C₁₂₇ #44394190

order	28956
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₉×C₁₂₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	A₄×C₁₉×C₁₂₇
unambiguous semidirect product	C₂²⋊(C₃×C₁₉×C₁₂₇)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₂₇	A₄
commutator, cosocle, hypocenter	C₂²	C₃×C₁₉×C₁₂₇
Frattini	C₁	G
Fitting, socle	C₂²×C₁₉×C₁₂₇	C₃
LCS	G ▷ C₂²
UCS	C₁ ◁ C₁₉×C₁₂₇

20 conjugacy classes of subgroups.

μ_t(G) = 9652

9652 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28956, 49);