Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
242 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20298974 | C2 | semidirect |
| 2. #20298974 | C2 | semidirect |
| 3. #20298970 | C2 | semidirect |
| 4. #20298945 | C2 | semidirect |
| 5. #20298944 | C2 | semidirect |
| 6. #20298320 | C2 | semidirect |
| 7. #493×C113 | C2 | semidirect |
| 60. #11744751 | D8 | semidirect |
| 82. C113 | #1721 | semidirect |
| 85. #493 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298974 | 2 |
| #20298970 | 2 |
| #20298945 | 2 |
| #20298944 | 2 |
| #20298320 | 2 |
| #493×C113 | 2 |
| #1721 | 113 |