Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
174 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 57 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×D1808 | C2 | semidirect |
| 2. #20298834 | C2 | semidirect |
| 3. #20298424 | C2 | semidirect |
| 4. #20298400 | C2 | semidirect |
| 5. C22×C16×C113 | C2 | semidirect |
| 27. C16×C113 | D4 | semidirect |
| 43. C22×C113 | D16 | semidirect |
| 58. C113 | #2215 | semidirect |
| 60. C22×C16 | D113 | semidirect |
| 85. C16 | C22⋊D113 | semidirect |
| 104. C22 | D1808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1808 | 2 |
| #20298834 | 2 |
| #20298424 | 2 |
| #20298400 | 2 |
| C22×C16×C113 | 2 |
| #2215 | 113 |