C₂×D₃×C₁₉×C₁₄₉ #46800826

order	33972
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₁₄₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₃×C₁₉×C₁₄₉
unambiguous semidirect product	C₃⋊(C₂²×C₁₉×C₁₄₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₁₉×C₁₄₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₁₄₉	D₃
commutator, cosocle, hypocenter	C₃	C₂²×C₁₉×C₁₄₉
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₁₉×C₁₄₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₂×C₁₉×C₁₄₉

40 conjugacy classes of subgroups.

μ_t(G) = 16986

16986 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33972, 37);