C₂×D₃×C₁₉×C₁₀₇ #37567347

order	24396
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₁₀₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₉×C₁₀₇
unambiguous semidirect product	C₃⋊(C₂²×C₁₉×C₁₀₇)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₉×C₁₀₇)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₁₀₇	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₁₉×C₁₀₇
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₀₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₁₉×C₁₀₇

40 conjugacy classes of subgroups.

μ_t(G) = 12198

12198 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24396, 31);