Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
248 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 15. #16813555 | C4 | semidirect |
| 73. #11744751 | C4⋊C4 | semidirect |
| 99. C113 | #1942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813555 | 2 |
| C2×C8×Dic113 | 2 |
| #20298497 | 2 |
| #20298494 | 2 |
| #20298361 | 2 |
| #340×C113 | 2 |
| #1942 | 113 |