Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
336 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20299233 | C2 | semidirect |
| 2. #20298790 | C2 | semidirect |
| 3. #20298342 | C2 | semidirect |
| 4. #20298327 | C2 | semidirect |
| 5. #493×C113 | C2 | semidirect |
| 11. C4⋊#11744751 | C22 | semidirect |
| 15. #127×C113 | C22 | semidirect |
| 16. C4×C8×C113 | C22 | semidirect |
| 51. D452 | D8 | semidirect |
| 75. C113 | #1619 | semidirect |
| 77. #493 | D113 | semidirect |
| 85. #127 | C2×D113 | semidirect |
| 91. C4×C8 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299233 | 2 |
| #20298790 | 2 |
| #20298342 | 2 |
| #20298327 | 2 |
| #493×C113 | 2 |
| #1619 | 113 |