Finite Group DatabasebetaFinite Group DatabasebetaOrder 14912.
114 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#16836584 | C2 | semidirect |
| 5. #21418468 | C2 | semidirect |
| 6. #21418460 | C2 | semidirect |
| 7. #103×C233 | C2 | semidirect |
| 39. C2×D233 | Q16 | semidirect |
| 51. C233 | #467 | semidirect |
| 59. #103 | D233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16836584 | 2 |
| C2×C8×D233 | 2 |
| #21418515 | 2 |
| #21418511 | 2 |
| #21418468 | 2 |
| #21418460 | 2 |
| #103×C233 | 2 |
| #467 | 233 |