Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
296 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 62 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. #20299475 | C2 | semidirect |
| 10. #16813578 | C4 | semidirect |
| 11. C2×C22⋊Dic113 | C4 | semidirect |
| 13. C2×C22⋊C4×C113 | C4 | semidirect |
| 74. C113 | #1828 | semidirect |
| 85. C2×C22⋊C4 | #90673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813680 | 2 |
| #20299475 | 2 |
| #20299071 | 2 |
| #1828 | 113 |