Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#16813643 | C2 | semidirect |
| 2. #20299149 | C2 | semidirect |
| 3. #20299146 | C2 | semidirect |
| 4. #20298979 | C2 | semidirect |
| 5. #20298977 | C2 | semidirect |
| 6. #20298974 | C2 | semidirect |
| 7. #20298971 | C2 | semidirect |
| 8. C4×C8×D113 | C2 | semidirect |
| 9. #492×C113 | C2 | semidirect |
| 47. C8×D113 | D4 | semidirect |
| 91. C4×C113 | #135 | semidirect |
| 102. C113 | #3147 | semidirect |
| 110. #492 | D113 | semidirect |
| 196. C4 | #16813643 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813643 | 2 |
| #20299149 | 2 |
| #20299146 | 2 |
| #20298979 | 2 |
| #20298977 | 2 |
| #20298974 | 2 |
| #20298971 | 2 |
| C4×C8×D113 | 2 |
| #492×C113 | 2 |
| #3147 | 113 |