Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20268338 | C2 | semidirect |
| 2. #20268188 | C2 | semidirect |
| 3. #20268166 | C2 | semidirect |
| 4. #20268136 | C2 | semidirect |
| 5. #20268045 | C2 | semidirect |
| 6. #20268043 | C2 | semidirect |
| 7. #20268041 | C2 | semidirect |
| 8. #20267904 | C2 | semidirect |
| 9. #20267901 | C2 | semidirect |
| 10. #20267743 | C2 | semidirect |
| 11. #442×C103 | C2 | semidirect |
| 94. C8×C103 | #41 | semidirect |
| 96. C103⋊C8 | #41 | semidirect |
| 119. C103 | #3184 | semidirect |
| 129. #442 | D103 | semidirect |
| 215. C8 | #13110105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268338 | 2 |
| #20268188 | 2 |
| #20268166 | 2 |
| #20268136 | 2 |
| #20268045 | 2 |
| #20268043 | 2 |
| #20268041 | 2 |
| #20267904 | 2 |
| #20267901 | 2 |
| #20267743 | 2 |
| #442×C103 | 2 |
| #3184 | 103 |