C₁₅₁×C₇₉⋊C₃ #49088795

order	35787
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₅₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₅₁×C₇₉⋊C₃
unambiguous semidirect product	C₇₉⋊(C₃×C₁₅₁)

Fitting, socle, Hall	C₇₉×C₁₅₁ ⋊ C₃
derived, Sylow	C₇₉ ⋊ C₃×C₁₅₁

	subgroup	G/H
center, hypercenter	C₁₅₁	C₇₉⋊C₃
commutator, cosocle, hypocenter	C₇₉	C₃×C₁₅₁
Frattini	C₁	G
Fitting, socle	C₇₉×C₁₅₁	C₃
LCS	G ▷ C₇₉
UCS	C₁ ◁ C₁₅₁

8 conjugacy classes of subgroups.

μ_t(G) = 11929

4379 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35787, 1);