Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21439884 |
| Sylow | C239 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#21439884, #103×Dic239, #44484378, … |
| maximal normal subgroup of | C4×#21439884, #103×Dic239, #44484378, … |
| maximal quotient of | C2×Q8⋊(C239⋊C8), #44482951, #44482977, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 540);