Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
136 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 51 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. #20299000 | C2 | semidirect |
| 3. #20298426 | C2 | semidirect |
| 4. #20298424 | C2 | semidirect |
| 7. C4⋊C16×C113 | C2 | semidirect |
| 63. C113 | #2228 | semidirect |
| 68. C4⋊C16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299000 | 2 |
| C4×D904 | 2 |
| #20298426 | 2 |
| #20298424 | 2 |
| #20298400 | 2 |
| C4⋊C16×C113 | 2 |
| #2228 | 113 |