C₃×D₅×D₇×C₄₇ #34089498

order	19740
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄₇ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₅×D₇×C₄₇

	subgroup	G/H
center, hypercenter	C₃×C₄₇	D₅×D₇
commutator, cosocle, hypocenter	C₅×C₇	C₂²×C₃×C₄₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₄₇	C₂²
LCS	G ▷ C₅×C₇
UCS	C₁ ◁ C₃×C₄₇

80 conjugacy classes of subgroups.

μ_t(G) = 4935

2820 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19740, 51);