Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
166 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20298725 | C2 | semidirect |
| 4. #20298328 | C2 | semidirect |
| 6. C8×#11744751 | C2 | semidirect |
| 7. #334×C113 | C2 | semidirect |
| 57. C8×C113 | M16 | semidirect |
| 60. #11744751 | SD16 | semidirect |
| 78. C113 | #1590 | semidirect |
| 82. #334 | D113 | semidirect |
| 138. C8 | #14268630 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20298725 | 2 |
| C4×#14268636 | 2 |
| #20298675 | 2 |
| #20298328 | 2 |
| #20298325 | 2 |
| C8×#11744751 | 2 |
| #334×C113 | 2 |
| #1590 | 113 |