C₃×C₅×D₇×D₆₁ #38785159

order	25620
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₃×C₅×D₇×D₆₁

	subgroup	G/H
center, hypercenter	C₃×C₅	D₇×D₆₁
commutator, cosocle, hypocenter	C₇×C₆₁	C₂²×C₃×C₅
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₆₁	C₂²
LCS	G ▷ C₇×C₆₁
UCS	C₁ ◁ C₃×C₅

80 conjugacy classes of subgroups.

μ_t(G) = 6405

2400 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25620, 232);