Finite Group DatabasebetaFinite Group Databasebeta| order | 23716 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C49×D121 |
| unambiguous semidirect product | C121⋊(C22×C49) |
| unambiguous semidirect product | (C2×C121)⋊(C2×C49) |
| Fitting | C2×C49×C121 ⋊ C2 |
| derived, Sylow | C121 ⋊ C22×C49 |
| Hall | C49×C121 ⋊ C22 |
45 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11858 |
6076 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23716, 7);