Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
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×D103 | C2 | semidirect |
| 3. C2×#15692943 | C2 | semidirect |
| 4. C2×#15692941 | C2 | semidirect |
| 5. #20267648 | C2 | semidirect |
| 6. #20267553 | C2 | semidirect |
| 7. #340×C103 | C2 | semidirect |
| 16. #15692996 | C4 | semidirect |
| 47. C2×C103⋊C8 | D4 | semidirect |
| 58. C2×C8×C103 | D4 | semidirect |
| 127. C2×D103 | #102 | semidirect |
| 146. C103 | #1893 | semidirect |
| 153. #340 | D103 | semidirect |
| 200. C2×C8 | D412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D103 | 2 |
| C2×#15692996 | 2 |
| C2×#15692943 | 2 |
| C2×#15692941 | 2 |
| #20267648 | 2 |
| #20267553 | 2 |
| #340×C103 | 2 |
| #1893 | 103 |