Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
684 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13125841 | C2 | semidirect |
| 2. #13125210 | C2 | semidirect |
| 4. #13113435 | C2 | semidirect |
| 5. #13113349 | C2 | semidirect |
| 6. #13112728 | C2 | semidirect |
| 7. C13×#1555 | C2 | semidirect |
| 59. #88123 | D4 | semidirect |
| 60. #88123 | D4 | semidirect |
| 64. C13×C4⋊C8 | D4 | semidirect |
| 75. #88043 | D4 | semidirect |
| 133. #1555 | D13 | semidirect |
| 258. C4⋊C8 | C22⋊D13 | semidirect |
| 329. C13 | #10096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125841 | 2 |
| #13125210 | 2 |
| #13120943 | 2 |
| #13113435 | 2 |
| #13113349 | 2 |
| #13112728 | 2 |
| C13×#1555 | 2 |
| #10096 | 13 |