Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
230 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 67 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. #20298654 | C2 | semidirect |
| 3. C4×C8×D113 | C2 | semidirect |
| 4. #20298330 | C2 | semidirect |
| 5. #20298328 | C2 | semidirect |
| 6. D4⋊#11744751 | C2 | semidirect |
| 7. D4⋊C8×C113 | C2 | semidirect |
| 106. C113 | #1494 | semidirect |
| 113. D4⋊C8 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299130 | 2 |
| #20298654 | 2 |
| C4×C8×D113 | 2 |
| #20298330 | 2 |
| #20298328 | 2 |
| D4⋊#11744751 | 2 |
| D4⋊C8×C113 | 2 |
| #1494 | 113 |