Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
168 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20267922 | C2 | semidirect |
| 4. #20267543 | C2 | semidirect |
| 6. #20267512 | C2 | semidirect |
| 7. Q8⋊C8×C103 | C2 | semidirect |
| 78. C103 | #1585 | semidirect |
| 83. Q8⋊C8 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267922 | 2 |
| C4×#13110092 | 2 |
| #20267856 | 2 |
| #20267543 | 2 |
| #20267520 | 2 |
| #20267512 | 2 |
| Q8⋊C8×C103 | 2 |
| #1585 | 103 |