C₃×D₇×D₂₄₁ #35202306

order	20244
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₂₄₁

	subgroup	G/H
center, hypercenter	C₃	D₇×D₂₄₁
commutator, cosocle, hypocenter	C₇×C₂₄₁	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₂₄₁	C₂²
LCS	G ▷ C₇×C₂₄₁
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 5061

1830 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20244, 52);