Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
550 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13130713 | C2 | semidirect |
| 3. #13129699 | C2 | semidirect |
| 5. C22×C8×D13 | C4 | semidirect |
| 11. C2×C4×C8×C13 | C4 | semidirect |
| 12. C2×#88060 | C4 | semidirect |
| 14. C2×C4⋊#1055 | C4 | semidirect |
| 102. C22×D13 | #107 | semidirect |
| 116. C2×C4×C13 | #107 | semidirect |
| 133. C8×C13 | #99 | semidirect |
| 146. C2×C4×C8 | #261 | semidirect |
| 254. C13 | #8609 | semidirect |
| 288. C2×C4 | #88102 | semidirect |
| 295. C8 | #88107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130713 | 2 |
| #13130697 | 2 |
| #13129699 | 2 |
| C2×C8×D52 | 2 |
| #8609 | 13 |