C₂²×C₁₉×C₁₀₃⋊C₃ #37553617

order	23484
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₉×C₁₀₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₉	C₁₀₃⋊C₃
commutator, cosocle, hypocenter	C₁₀₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₁₉×C₁₀₃	C₃
LCS	G ▷ C₁₀₃
UCS	C₁ ◁ C₂²×C₁₉

40 conjugacy classes of subgroups.

μ_t(G) = 7828

2812 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23484, 54);