Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
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. #20298996 | C2 | semidirect |
| 5. #20298346 | C2 | semidirect |
| 6. #20298345 | C2 | semidirect |
| 7. #335×C113 | C2 | semidirect |
| 58. C8×C113 | SD16 | semidirect |
| 77. C113 | #1691 | semidirect |
| 82. #335 | D113 | semidirect |
| 136. C8 | #14268636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298996 | 2 |
| #20298889 | 2 |
| #20298804 | 2 |
| #20298677 | 2 |
| #20298346 | 2 |
| #20298345 | 2 |
| #335×C113 | 2 |
| #1691 | 113 |