Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13121867 | C2 | semidirect |
| 5. #13112661 | C2 | semidirect |
| 6. #13112660 | C2 | semidirect |
| 7. C13×#1271 | C2 | semidirect |
| 111. C13×C4⋊C4 | SD16 | semidirect |
| 117. C4⋊Dic13 | SD16 | semidirect |
| 133. #1271 | D13 | semidirect |
| 339. C4⋊C4 | #6095 | semidirect |
| 342. C13 | #7741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121867 | 2 |
| #13116071 | 2 |
| #13116070 | 2 |
| #13115926 | 2 |
| #13112661 | 2 |
| #13112660 | 2 |
| C13×#1271 | 2 |
| #7741 | 13 |