C₂₉×C₃₄₉⋊C₃ #44476964

order	30363
automorphism	?
homology	Abelianization (H₁) = C₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×C₃₄₉⋊C₃
unambiguous semidirect product	(C₂₉×C₃₄₉)⋊C₃

Fitting, socle, Hall	C₂₉×C₃₄₉ ⋊ C₃
derived, Sylow	C₃₄₉ ⋊ C₃×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	C₃₄₉⋊C₃
commutator, cosocle, hypocenter	C₃₄₉	C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₉×C₃₄₉	C₃
LCS	G ▷ C₃₄₉
UCS	C₁ ◁ C₂₉

8 conjugacy classes of subgroups.

μ_t(G) = 10121

3451 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30363, 3);