C₂₉×D₅₄₁ #44535918

order	31378
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂₉×D₅₄₁
unambiguous semidirect product	C₅₄₁⋊(C₂×C₂₉)

Fitting, socle, Hall	C₂₉×C₅₄₁ ⋊ C₂
derived, Sylow	C₅₄₁ ⋊ C₂×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	D₅₄₁
commutator, cosocle, hypocenter	C₅₄₁	C₂×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₉×C₅₄₁	C₂
LCS	G ▷ C₅₄₁
UCS	C₁ ◁ C₂₉

8 conjugacy classes of subgroups.

μ_t(G) = 15689

7888 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31378, 2);