C₁₃×D₁₂₂₉ #44544151

order	31954
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₁₂₂₉
unambiguous semidirect product	C₁₂₂₉⋊(C₂×C₁₃)

Fitting, socle, Hall	C₁₃×C₁₂₂₉ ⋊ C₂
derived, Sylow	C₁₂₂₉ ⋊ C₂×C₁₃

	subgroup	G/H
center, hypercenter	C₁₃	D₁₂₂₉
commutator, cosocle, hypocenter	C₁₂₂₉	C₂×C₁₃
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₂₂₉	C₂
LCS	G ▷ C₁₂₂₉
UCS	C₁ ◁ C₁₃

8 conjugacy classes of subgroups.

μ_t(G) = 15977

8008 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31954, 2);