Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16838537 |
| Fitting | C22×C8×C239 ⋊ C2 |
| Sylow | C239 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
3836 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44484881, #44484883, #44484902, … |
| maximal normal subgroup of | #44484881, #44484883, #44484902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1323);