C₇₃×C₁₅₇⋊C₃ #46806069

order	34383
automorphism	?
homology	Abelianization (H₁) = C₃×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×C₁₅₇⋊C₃
unambiguous semidirect product	C₁₅₇⋊(C₃×C₇₃)

Fitting, socle, Hall	C₇₃×C₁₅₇ ⋊ C₃
derived, Sylow	C₁₅₇ ⋊ C₃×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	C₁₅₇⋊C₃
commutator, cosocle, hypocenter	C₁₅₇	C₃×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₁₅₇	C₃
LCS	G ▷ C₁₅₇
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 11461

4015 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34383, 2);