Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
602 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 151 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. #13125416 | C2 | semidirect |
| 2. #13125413 | C2 | semidirect |
| 3. #13117109 | C2 | semidirect |
| 4. #13117085 | C2 | semidirect |
| 5. #13117060 | C2 | semidirect |
| 6. #13116921 | C2 | semidirect |
| 7. #13116680 | C2 | semidirect |
| 8. C4×C16×D13 | C2 | semidirect |
| 9. C13×#2240 | C2 | semidirect |
| 115. #6090 | #41 | semidirect |
| 121. #2240 | D13 | semidirect |
| 152. C4×D13 | D16 | semidirect |
| 288. C13 | #33733 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125416 | 2 |
| #13125413 | 2 |
| #13117109 | 2 |
| #13117085 | 2 |
| #13117060 | 2 |
| #13116921 | 2 |
| #13116680 | 2 |
| C4×C16×D13 | 2 |
| C13×#2240 | 2 |
| #33733 | 13 |