Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131768 | C2 | semidirect |
| 2. #13130978 | C2 | semidirect |
| 3. #13130343 | C2 | semidirect |
| 4. #13130171 | C2 | semidirect |
| 5. #13129744 | C2 | semidirect |
| 6. #13129720 | C2 | semidirect |
| 164. Q8×C13 | #100 | semidirect |
| 378. C13 | #9360 | semidirect |
| 390. Q8 | #88121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131768 | 2 |
| #13130978 | 2 |
| #13130343 | 2 |
| #13130171 | 2 |
| #13129744 | 2 |
| #13129720 | 2 |
| #13124314 | 2 |
| #9360 | 13 |