Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
160 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 160 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 |
|---|---|---|
| 1. #20295424 | C2 | semidirect |
| 5. #20294774 | C2 | semidirect |
| 6. #20294773 | C2 | semidirect |
| 7. #335×C109 | C2 | semidirect |
| 58. C8×C109 | SD16 | semidirect |
| 77. C109 | #1691 | semidirect |
| 82. #335 | D109 | semidirect |
| 136. C8 | #13182018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295424 | 2 |
| #20295317 | 2 |
| #20295232 | 2 |
| #20295105 | 2 |
| #20294774 | 2 |
| #20294773 | 2 |
| #335×C109 | 2 |
| #1691 | 109 |