Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
576 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 213 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. #20267694 | C2 | semidirect |
| 2. #20267684 | C2 | semidirect |
| 3. #20267677 | C2 | semidirect |
| 4. #20267671 | C2 | semidirect |
| 5. #20267671 | C2 | semidirect |
| 6. #20267666 | C2 | semidirect |
| 7. #20267654 | C2 | semidirect |
| 8. #20267651 | C2 | semidirect |
| 29. #121×C103 | C4 | semidirect |
| 54. C2×D4×C103 | C2×C4 | semidirect |
| 56. C22×C4×C103 | C2×C4 | semidirect |
| 60. C4⋊C4×C103 | C2×C4 | semidirect |
| 61. C22⋊C4×C103 | C2×C4 | semidirect |
| 130. C103 | #2377 | semidirect |
| 144. #121 | Dic103 | semidirect |
| 168. C2×D4 | C2×Dic103 | semidirect |
| 177. C22×C4 | C2×Dic103 | semidirect |
| 183. C4⋊C4 | C2×Dic103 | semidirect |
| 190. C22⋊C4 | C2×Dic103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267694 | 2 |
| #20267684 | 2 |
| #20267677 | 2 |
| #20267671 | 2 |
| #20267666 | 2 |
| #20267654 | 2 |
| #20267651 | 2 |
| C2×#121×C103 | 2 |
| #2377 | 103 |