Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D239 |
| Fitting | D16×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3824 |
1331 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D32×D239, SD64×D239, #44486859, … |
| maximal normal subgroup of | D32×D239, SD64×D239, #44486859, … |
| maximal quotient of | #357×D239, #366×D239, #44486392, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 968);