Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
166 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 4. #20267542 | C2 | semidirect |
| 5. #20267540 | C2 | semidirect |
| 6. #20267537 | C2 | semidirect |
| 7. #498×C103 | C2 | semidirect |
| 56. C8×C103 | SD16 | semidirect |
| 77. C103 | #1671 | semidirect |
| 78. #498 | D103 | semidirect |
| 136. C8 | #13110092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268078 | 2 |
| #20267993 | 2 |
| C8×D412 | 2 |
| #20267542 | 2 |
| #20267540 | 2 |
| #20267537 | 2 |
| #498×C103 | 2 |
| #1671 | 103 |