Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
432 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 107 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. C22×C8×D113 | C2 | semidirect |
| 3. C2×#16813543 | C2 | semidirect |
| 4. #20298455 | C2 | semidirect |
| 5. #20298361 | C2 | semidirect |
| 6. #20298360 | C2 | semidirect |
| 7. C2×#102×C113 | C2 | semidirect |
| 15. #16813593 | C4 | semidirect |
| 41. C2×#11744751 | D4 | semidirect |
| 60. C2×C8×C113 | D4 | semidirect |
| 127. C2×D113 | #102 | semidirect |
| 146. C113 | #1893 | semidirect |
| 150. C2×#102 | D113 | semidirect |
| 200. C2×C8 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D113 | 2 |
| C2×#16813593 | 2 |
| C2×#16813543 | 2 |
| #20298455 | 2 |
| #20298361 | 2 |
| #20298360 | 2 |
| C2×#102×C113 | 2 |
| #1893 | 113 |