Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 100 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. #13130562 | C2 | semidirect |
| 2. #13130499 | C2 | semidirect |
| 3. #13129654 | C2 | semidirect |
| 4. #13129652 | C2 | semidirect |
| 67. C2×D4×C13 | M16 | semidirect |
| 99. C13×C4⋊C4 | M16 | semidirect |
| 275. C2×D4 | #6122 | semidirect |
| 310. C4⋊C4 | #6122 | semidirect |
| 322. C13 | #7633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130562 | 2 |
| #13130499 | 2 |
| #13129654 | 2 |
| #13129652 | 2 |
| #121×Dic13 | 2 |
| #7633 | 13 |