C₃×D₇×D₁₇₃ #28409899

order	14532
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃ · Schur multiplier (H₂) = C₂

Aliases

C₃×D₇×D₁₇₃

	subgroup	G/H
center, hypercenter	C₃	D₇×D₁₇₃
commutator, cosocle, hypocenter	C₇×C₁₇₃	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇₃	C₂²
LCS	G ▷ C₇×C₁₇₃
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 3633

1320 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14532, 22);