C₂×C₃×C₃₁×D₉₃ #46829464

order	34596
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₃×C₃₁×D₉₃
unambiguous semidirect product	(C₂×C₃)⋊(C₃×C₃₁×D₃₁)

	subgroup	G/H
center, hypercenter	C₂×C₃×C₃₁	D₉₃
commutator, cosocle, hypocenter	C₃×C₃₁	C₂²×C₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₃₁²	C₂
LCS	G ▷ C₃×C₃₁
UCS	C₁ ◁ C₂×C₃×C₃₁

268 conjugacy classes of subgroups.

μ_t(G) = 372

8928 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34596, 224);