Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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. #20298537 | C2 | semidirect |
| 3. #20298524 | C2 | semidirect |
| 5. #20298509 | C2 | semidirect |
| 6. C4×#14268624 | C2 | semidirect |
| 7. #20298444 | C2 | semidirect |
| 8. C2×C4×Q8×C113 | C2 | semidirect |
| 97. C113 | #2398 | semidirect |
| 98. C2×C4×Q8 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D452 | 2 |
| #20298537 | 2 |
| #20298524 | 2 |
| #20298515 | 2 |
| #20298509 | 2 |
| C4×#14268624 | 2 |
| #20298444 | 2 |
| C2×C4×Q8×C113 | 2 |
| #2398 | 113 |