C₂×C₃×D₇×C₄₃₁ #49116597

order	36204
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₃₁ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×D₇×C₄₃₁

	subgroup	G/H
center, hypercenter	C₂×C₃×C₄₃₁	D₇
commutator, cosocle, hypocenter	C₇	C₂²×C₃×C₄₃₁
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₇×C₄₃₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₃×C₄₃₁

40 conjugacy classes of subgroups.

μ_t(G) = 18102

12930 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36204, 29);