Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 49 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×#15692966 | C2 | semidirect |
| 2. C2×#15692965 | C2 | semidirect |
| 4. #20267885 | C2 | semidirect |
| 5. Dic103⋊C16 | C2 | semidirect |
| 6. #20267591 | C2 | semidirect |
| 7. #357×C103 | C2 | semidirect |
| 26. Dic412 | D4 | semidirect |
| 71. Dic103 | SD32 | semidirect |
| 78. C103 | #2207 | semidirect |
| 85. #357 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692966 | 2 |
| C2×#15692965 | 2 |
| #20268166 | 2 |
| #20267885 | 2 |
| Dic103⋊C16 | 2 |
| #20267591 | 2 |
| #357×C103 | 2 |
| #2207 | 103 |