Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268369 | C2 | semidirect |
| 2. #20268127 | C2 | semidirect |
| 3. #20268105 | C2 | semidirect |
| 4. #20268037 | C2 | semidirect |
| 5. #20268032 | C2 | semidirect |
| 6. #20268027 | C2 | semidirect |
| 7. #20267955 | C2 | semidirect |
| 8. #20267938 | C2 | semidirect |
| 9. #408×C103 | C2 | semidirect |
| 120. C103 | #3203 | semidirect |
| 129. #408 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268369 | 2 |
| #20268127 | 2 |
| #20268105 | 2 |
| #20268037 | 2 |
| #20268032 | 2 |
| #20268027 | 2 |
| #20267955 | 2 |
| #20267938 | 2 |
| #408×C103 | 2 |
| #3203 | 103 |