Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#21439951 |
| Sylow | C239 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44485502, #44485504, #44485511, … |
| maximal normal subgroup of | #44485502, #44485504, #44485511, … |
| maximal quotient of | C2×#29504637, C2×#29504655, C2×#29504659, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1070);