Finite Group DatabasebetaFinite Group Databasebeta| order | 23954 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C29 · Schur multiplier (H2) = C1 |
| direct product | D7×C59⋊C29 |
| unambiguous semidirect product | C7⋊(C2×C59⋊C29) |
| unambiguous semidirect product | (D7×C59)⋊C29 |
| Fitting, socle, derived, Hall | C7×C59 ⋊ C2×C29 |
| Hall | C7×C59⋊C29 ⋊ C2 |
| Hall | D7×C59 ⋊ C29 |
| Sylow | C59 ⋊ D7×C29 |
| Sylow | C7 ⋊ C2×C59⋊C29 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C7×C59 | C2×C29 |
| LCS | G ▷ C7×C59 | |
| UCS | C1 | |
16 conjugacy classes of subgroups.
| transitive degree | μt(G) = 413 |
155 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23954, 12);