C₃×D₅×D₇×C₇₁ #44447235

order	29820
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇₁ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₅×D₇×C₇₁

	subgroup	G/H
center, hypercenter	C₃×C₇₁	D₅×D₇
commutator, cosocle, hypocenter	C₅×C₇	C₂²×C₃×C₇₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₇₁	C₂²
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₃×C₇₁

80 conjugacy classes of subgroups.

μ_t(G) = 7455

4260 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29820, 123);