Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #13113521 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112667 | C2 | semidirect |
| 7. C13×#1993 | C2 | semidirect |
| 15. #11718746 | C4 | semidirect |
| 17. #11718742 | C4 | semidirect |
| 90. C2×C8×C13 | SD16 | semidirect |
| 115. #1993 | D13 | semidirect |
| 271. C2×C8 | #6106 | semidirect |
| 286. C13 | #9289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125761 | 2 |
| #13123555 | 2 |
| #13113521 | 2 |
| #13113395 | 2 |
| #13112694 | 2 |
| #13112667 | 2 |
| C13×#1993 | 2 |
| #9289 | 13 |