Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C239⋊#95 |
| unambiguous semidirect product | (C2×C239)⋊#95 |
| Sylow | C239 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
3848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482390, #44482426, #44482428, … |
| maximal normal subgroup of | #44482390, #44482426, #44482428, … |
| maximal quotient of | C4×C239⋊#95, #44482770, #44482771, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 393);