Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11718854 | C2 | semidirect |
| 2. C2×#11718812 | C2 | semidirect |
| 3. C2×#11718108 | C2 | semidirect |
| 4. C2×#11718155 | C2 | semidirect |
| 5. #13115725 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C2×C13×#509 | C2 | semidirect |
| 39. C2×C13×Q16 | D4 | semidirect |
| 47. C2×C13×D8 | D4 | semidirect |
| 66. C13×M32 | D4 | semidirect |
| 77. #88052 | D4 | semidirect |
| 138. C2×#509 | D13 | semidirect |
| 237. C2×Q16 | C22⋊D13 | semidirect |
| 254. C2×D8 | C22⋊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×#11718854 | 2 |
| C2×#11718812 | 2 |
| C2×#11718108 | 2 |
| C2×#11718155 | 2 |
| #13115725 | 2 |
| #13112917 | 2 |
| C2×C13×#509 | 2 |
| #13331 | 13 |