Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
794 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13125756 | C2 | semidirect |
| 2. #13124300 | C2 | semidirect |
| 3. #13119782 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113332 | C2 | semidirect |
| 6. #13112738 | C2 | semidirect |
| 7. C13×#1478 | C2 | semidirect |
| 64. #88128 | D4 | semidirect |
| 67. #88123 | D4 | semidirect |
| 69. C13×C4⋊C8 | D4 | semidirect |
| 79. C4⋊#1055 | D4 | semidirect |
| 88. C2×D4×C13 | D8 | semidirect |
| 151. #1478 | D13 | semidirect |
| 303. C4⋊C8 | C22⋊D13 | semidirect |
| 351. C2×D4 | D104 | semidirect |
| 385. C13 | #10238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125756 | 2 |
| #13124300 | 2 |
| #13119782 | 2 |
| #13113503 | 2 |
| #13113332 | 2 |
| #13112738 | 2 |
| C13×#1478 | 2 |
| #10238 | 13 |