Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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×C4⋊#11744751 | C2 | semidirect |
| 3. C2×#16813551 | C2 | semidirect |
| 6. #20298352 | C2 | semidirect |
| 7. #336×C113 | C2 | semidirect |
| 43. #14268624 | C8 | semidirect |
| 70. C2×C4×C113 | C2×C8 | semidirect |
| 85. C2×Dic113 | C2×C8 | semidirect |
| 107. C2×D113 | C4⋊C8 | semidirect |
| 126. C113 | #1850 | semidirect |
| 133. #336 | D113 | semidirect |
| 209. C2×C4 | C8×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D113 | 2 |
| C2×C4⋊#11744751 | 2 |
| C2×#16813551 | 2 |
| C2×#16813534 | 2 |
| C4×#14268624 | 2 |
| #20298352 | 2 |
| #336×C113 | 2 |
| #1850 | 113 |