C₂₉×C₂₃⋊D₂₃ #44501603

order	30682
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉ · Schur multiplier (H₂) = C₂₃

Aliases

direct product	C₂₉×C₂₃⋊D₂₃
unambiguous semidirect product	C₂₃⋊(C₂₉×D₂₃)

Fitting, socle, Hall	C₂₃²×C₂₉ ⋊ C₂
derived, Sylow	C₂₃² ⋊ C₂×C₂₉

	subgroup	G/H
center, hypercenter	C₂₉	C₂₃⋊D₂₃
commutator, cosocle, hypocenter	C₂₃²	C₂×C₂₉
Frattini	C₁	G
Fitting, socle	C₂₃²×C₂₉	C₂
LCS	G ▷ C₂₃²
UCS	C₁ ◁ C₂₉

104 conjugacy classes of subgroups.

μ_t(G) = 15341

7714 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30682, 9);