Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
240 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20268196 | C2 | semidirect |
| 3. #20268071 | C2 | semidirect |
| 4. #20267997 | C2 | semidirect |
| 5. #20267538 | C2 | semidirect |
| 6. #20267520 | C2 | semidirect |
| 7. D4⋊C8×C103 | C2 | semidirect |
| 98. C103 | #1647 | semidirect |
| 105. D4⋊C8 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268446 | 2 |
| #20268196 | 2 |
| #20268071 | 2 |
| #20267997 | 2 |
| #20267538 | 2 |
| #20267520 | 2 |
| D4⋊C8×C103 | 2 |
| #1647 | 103 |