Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
176 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 55 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20298946 | C2 | semidirect |
| 3. D4×#11744751 | C2 | semidirect |
| 4. #20298348 | C2 | semidirect |
| 5. #20298347 | C2 | semidirect |
| 6. #20298341 | C2 | semidirect |
| 7. #476×C113 | C2 | semidirect |
| 83. C113 | #1677 | semidirect |
| 85. #476 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298946 | 2 |
| #20298793 | 2 |
| D4×#11744751 | 2 |
| #20298348 | 2 |
| #20298347 | 2 |
| #20298341 | 2 |
| #476×C113 | 2 |
| #1677 | 113 |