Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 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 |
|---|---|---|
| 2. #20298884 | C2 | semidirect |
| 4. #20298728 | C2 | semidirect |
| 5. #20298343 | C2 | semidirect |
| 7. #335×C113 | C2 | semidirect |
| 61. C8×C113 | SD16 | semidirect |
| 80. C113 | #1686 | semidirect |
| 85. #335 | D113 | semidirect |
| 142. C8 | #14268636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298971 | 2 |
| #20298884 | 2 |
| #20298799 | 2 |
| #20298728 | 2 |
| #20298343 | 2 |
| #20298341 | 2 |
| #335×C113 | 2 |
| #1686 | 113 |