Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
|---|---|---|
| 12. C82×C13 | C4 | semidirect |
| 13. C8×#1055 | C4 | semidirect |
| 14. C8×#1055 | C4 | semidirect |
| 15. C8×#1055 | C4 | semidirect |
| 75. C8×C13 | #106 | semidirect |
| 76. C8×C13 | #107 | semidirect |
| 78. #1055 | #106 | semidirect |
| 79. #1055 | #107 | semidirect |
| 90. C82 | #261 | semidirect |
| 147. C13 | #8814 | semidirect |
| 166. C8 | #88101 | semidirect |
| 167. C8 | #88102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130772 | 2 |
| #13130771 | 2 |
| #13130757 | 2 |
| C82×D13 | 2 |
| #8814 | 13 |