Finite Group DatabasebetaFinite Group DatabasebetaOrder 14912.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 2. C2×#16836581 | C2 | semidirect |
| 3. #21418511 | C2 | semidirect |
| 4. #21418459 | C2 | semidirect |
| 5. #21418457 | C2 | semidirect |
| 6. #21418447 | C2 | semidirect |
| 7. C2×Q16×C233 | C2 | semidirect |
| 60. C233 | #452 | semidirect |
| 63. C2×Q16 | D233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16836595 | 2 |
| C2×#16836581 | 2 |
| #21418511 | 2 |
| #21418459 | 2 |
| #21418457 | 2 |
| #21418447 | 2 |
| C2×Q16×C233 | 2 |
| #452 | 233 |