C₂²×C₄₁×C₇₃⋊C₃ #49090353

order	35916
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₄₁×C₇₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₄₁	C₇₃⋊C₃
commutator, cosocle, hypocenter	C₇₃	C₂²×C₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₂²×C₄₁×C₇₃	C₃
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₂²×C₄₁

40 conjugacy classes of subgroups.

μ_t(G) = 11972

4428 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35916, 45);