Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
834 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 834 conjugacy classes of subgroups — too many to draw. Only its 179 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. C2×#11718580 | C2 | semidirect |
| 2. #13125265 | C2 | semidirect |
| 3. #13117098 | C2 | semidirect |
| 4. #13117093 | C2 | semidirect |
| 5. #13117086 | C2 | semidirect |
| 6. C4×C16×D13 | C2 | semidirect |
| 7. C13×#2247 | C2 | semidirect |
| 51. C16×D13 | D4 | semidirect |
| 85. #2247 | D13 | semidirect |
| 132. C4×C13 | #508 | semidirect |
| 196. C13 | #33713 | semidirect |
| 226. C4 | #11718580 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718580 | 2 |
| #13125265 | 2 |
| #13117098 | 2 |
| #13117093 | 2 |
| #13117086 | 2 |
| C4×C16×D13 | 2 |
| C13×#2247 | 2 |
| #33713 | 13 |