C₂×D₃×C₁₉×C₁₀₁ #37527820

order	23028
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₁₀₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₉×C₁₀₁
unambiguous semidirect product	C₃⋊(C₂²×C₁₉×C₁₀₁)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₉×C₁₀₁)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₁₀₁	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₁₉×C₁₀₁
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₀₁	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₁₉×C₁₀₁

40 conjugacy classes of subgroups.

μ_t(G) = 11514

11514 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23028, 37);