Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
432 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 129 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. C23×#11744751 | C2 | semidirect |
| 3. C2×#16813534 | C2 | semidirect |
| 4. #20298352 | C2 | semidirect |
| 5. C2×C22⋊C8×C113 | C2 | semidirect |
| 24. C2×C22⋊D113 | C8 | semidirect |
| 35. C2×#11744751 | D4 | semidirect |
| 61. C22×D113 | C2×C8 | semidirect |
| 78. C2×Dic113 | C2×C8 | semidirect |
| 88. C22×C113 | C22⋊C8 | semidirect |
| 114. C113 | #1869 | semidirect |
| 118. C2×C22⋊C8 | D113 | semidirect |
| 207. C22 | #16813534 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#11744751 | 2 |
| C2×C4×C22⋊D113 | 2 |
| C2×#16813534 | 2 |
| #20298352 | 2 |
| C2×C22⋊C8×C113 | 2 |
| #1869 | 113 |