Finite Group DatabasebetaFinite Group DatabasebetaOrder 12608.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 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×D1576 | C2 | semidirect |
| 2. C2×#15691343 | C2 | semidirect |
| 3. #20263322 | C2 | semidirect |
| 4. #20263288 | C2 | semidirect |
| 5. #20263255 | C2 | semidirect |
| 6. #20263246 | C2 | semidirect |
| 7. #102×C197 | C2 | semidirect |
| 26. D788 | D4 | semidirect |
| 53. Dic197 | D8 | semidirect |
| 60. C197 | #459 | semidirect |
| 68. #102 | D197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1576 | 2 |
| C2×#15691343 | 2 |
| #20263322 | 2 |
| #20263288 | 2 |
| #20263255 | 2 |
| #20263246 | 2 |
| #102×C197 | 2 |
| #459 | 197 |