C₂²×C₄₁×C₆₁⋊C₃ #44473147

order	30012
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₁ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₄₁×C₆₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₄₁	C₆₁⋊C₃
commutator, cosocle, hypocenter	C₆₁	C₂²×C₃×C₄₁
Frattini	C₁	G
Fitting, socle	C₂²×C₄₁×C₆₁	C₃
LCS	G ▷ C₆₁
UCS	C₁ ◁ C₂²×C₄₁

40 conjugacy classes of subgroups.

μ_t(G) = 10004

3772 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30012, 45);