Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 2. #107×D103 | C2 | semidirect |
| 3. #20267616 | C2 | semidirect |
| 4. #20267593 | C2 | semidirect |
| 5. #20267591 | C2 | semidirect |
| 6. (C2×D103)⋊C16 | C2 | semidirect |
| 7. #366×C103 | C2 | semidirect |
| 71. C103 | #2232 | semidirect |
| 75. #366 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268028 | 2 |
| #107×D103 | 2 |
| #20267616 | 2 |
| #20267593 | 2 |
| #20267591 | 2 |
| (C2×D103)⋊C16 | 2 |
| #366×C103 | 2 |
| #2232 | 103 |