C₃₁×C₃₇₉⋊C₃ #47976583

order	35247
automorphism	?
homology	Abelianization (H₁) = C₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃₁×C₃₇₉⋊C₃
unambiguous semidirect product	C₃₇₉⋊(C₃×C₃₁)

Fitting, socle, Hall	C₃₁×C₃₇₉ ⋊ C₃
derived, Sylow	C₃₇₉ ⋊ C₃×C₃₁

	subgroup	G/H
center, hypercenter	C₃₁	C₃₇₉⋊C₃
commutator, cosocle, hypocenter	C₃₇₉	C₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₃₁×C₃₇₉	C₃
LCS	G ▷ C₃₇₉
UCS	C₁ ◁ C₃₁

8 conjugacy classes of subgroups.

μ_t(G) = 11749

3999 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35247, 2);