Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic478 |
| Sylow | C239 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
3848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482526, #44482528, C8×#16838536, … |
| maximal normal subgroup of | #44482526, #44482528, C8×#16838536, … |
| maximal quotient of | C8×C4⋊Dic239, C8×Dic239⋊C4, #44485104, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 674);