Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718569 | C2 | semidirect |
| 2. C2×#11718808 | C2 | semidirect |
| 3. C2×#11718812 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. #13115722 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 50. C2×Dic52 | D4 | semidirect |
| 61. C2×D104 | D4 | semidirect |
| 64. C13×M32 | D4 | semidirect |
| 75. #88052 | D4 | semidirect |
| 141. C2×#361 | D13 | semidirect |
| 268. M32 | C22⋊D13 | semidirect |
| 341. C13 | #13331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| C2×#11718808 | 2 |
| C2×#11718812 | 2 |
| C2×#11718087 | 2 |
| #13115722 | 2 |
| #13112917 | 2 |
| C2×C13×#361 | 2 |
| #13331 | 13 |