Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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×#16813565 | C2 | semidirect |
| 2. C2×D1808 | C2 | semidirect |
| 3. C2×#16813563 | C2 | semidirect |
| 4. #20298983 | C2 | semidirect |
| 5. #20298973 | C2 | semidirect |
| 6. #20298373 | C2 | semidirect |
| 7. C2×SD32×C113 | C2 | semidirect |
| 35. #14268622 | D4 | semidirect |
| 43. C16×C113 | D4 | semidirect |
| 79. C113 | #2250 | semidirect |
| 81. C2×SD32 | D113 | semidirect |
| 122. C16 | C22⋊D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813565 | 2 |
| C2×D1808 | 2 |
| C2×#16813563 | 2 |
| #20298983 | 2 |
| #20298973 | 2 |
| #20298373 | 2 |
| C2×SD32×C113 | 2 |
| #2250 | 113 |