Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#16813622 | C2 | semidirect |
| 3. #20298971 | C2 | semidirect |
| 4. #20298949 | C2 | semidirect |
| 5. #20298804 | C2 | semidirect |
| 6. #20298739 | C2 | semidirect |
| 7. #431×C113 | C2 | semidirect |
| 61. C2×C4×C113 | SD16 | semidirect |
| 101. C113 | #3206 | semidirect |
| 108. #431 | D113 | semidirect |
| 173. C2×C4 | #14268636 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299148 | 2 |
| C2×#16813622 | 2 |
| #20298971 | 2 |
| #20298949 | 2 |
| #20298804 | 2 |
| #20298739 | 2 |
| #431×C113 | 2 |
| #3206 | 113 |