Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#21439949 |
| Fitting | C22×Q8×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44484933, #44484949, #44484951, … |
| maximal normal subgroup of | #44484933, #44484949, #44484951, … |
| maximal quotient of | C2×#29504637, C2×#29504662, C2×#29504673, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1067);