Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #20268143 | C2 | semidirect |
| 4. #20268095 | C2 | semidirect |
| 7. #20268001 | C2 | semidirect |
| 8. Q8×C103⋊C8 | C2 | semidirect |
| 9. C4×#13110095 | C2 | semidirect |
| 11. #557×C103 | C2 | semidirect |
| 116. C103 | #3364 | semidirect |
| 117. #557 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268514 | 2 |
| #20268148 | 2 |
| #20268143 | 2 |
| #20268095 | 2 |
| #20268068 | 2 |
| #20268013 | 2 |
| #20268001 | 2 |
| Q8×C103⋊C8 | 2 |
| C4×#13110095 | 2 |
| C4×#13110092 | 2 |
| #557×C103 | 2 |
| #3364 | 103 |