Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 2. #13130138 | C2 | semidirect |
| 4. #13129660 | C2 | semidirect |
| 26. C13×#124 | C8 | semidirect |
| 57. C2×Q8×C13 | C2×C8 | semidirect |
| 78. C42×C13 | C2×C8 | semidirect |
| 171. #124 | #1057 | semidirect |
| 207. C2×Q8 | C2×#1057 | semidirect |
| 239. C42 | C2×#1057 | semidirect |
| 240. C13 | #9099 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131683 | 2 |
| #13130138 | 2 |
| #13130076 | 2 |
| #13129660 | 2 |
| #13117549 | 2 |
| #9099 | 13 |