Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
170 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 51 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×#16813567 | C2 | semidirect |
| 3. #20298982 | C2 | semidirect |
| 4. C4×D904 | C2 | semidirect |
| 5. #20298403 | C2 | semidirect |
| 6. #20298400 | C2 | semidirect |
| 7. C4⋊C16×C113 | C2 | semidirect |
| 77. C113 | #2210 | semidirect |
| 82. C4⋊C16 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813567 | 2 |
| C2×D1808 | 2 |
| #20298982 | 2 |
| C4×D904 | 2 |
| #20298403 | 2 |
| #20298400 | 2 |
| C4⋊C16×C113 | 2 |
| #2210 | 113 |