C₁₃×C₃₇×D₃₃ #44540804

order	31746
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₃₇×D₃₃
unambiguous semidirect product	C₃⋊(C₁₃×D₁₁×C₃₇)
unambiguous semidirect product	C₁₁⋊(D₃×C₁₃×C₃₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₃₇	D₃₃
commutator, cosocle, hypocenter	C₃×C₁₁	C₂×C₁₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₃₇	C₂
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₁₃×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 15873

8658 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31746, 17);