Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
224 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 4. #20267513 | C2 | semidirect |
| 5. #20267512 | C2 | semidirect |
| 6. C8×C103⋊C8 | C2 | semidirect |
| 7. C82×C103 | C2 | semidirect |
| 24. #13110088 | C8 | direct (N × H) |
| 47. C8×C103 | C2×C8 | semidirect |
| 48. C8×C103 | M16 | semidirect |
| 51. C103⋊C8 | C2×C8 | semidirect |
| 67. C103 | C8×M16 | semidirect |
| 74. C82 | D103 | semidirect |
| 117. C8 | C8×D103 | semidirect |
| 118. C8 | #13110088 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267842 | 2 |
| C4×#13110088 | 2 |
| C4×C8×D103 | 2 |
| #20267513 | 2 |
| #20267512 | 2 |
| C8×C103⋊C8 | 2 |
| C82×C103 | 2 |
| C8×M16 | 103 |