C₃×D₇×D₃₃₇ #43246773

order	28308
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₃₃₇

	subgroup	G/H
center, hypercenter	C₃	D₇×D₃₃₇
commutator, cosocle, hypocenter	C₇×C₃₃₇	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₃₃₇	C₂²
LCS	G ▷ C₇×C₃₃₇
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 7077

2550 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28308, 70);