Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13123234 | C2 | semidirect |
| 4. #13113522 | C2 | semidirect |
| 5. #13113518 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 101. C42×C13 | SD16 | semidirect |
| 286. C42 | #6105 | semidirect |
| 291. C13 | #10283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125961 | 2 |
| #13125758 | 2 |
| #13123234 | 2 |
| #13113522 | 2 |
| #13113518 | 2 |
| #13112669 | 2 |
| C13×#1962 | 2 |
| #10283 | 13 |