Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3998 conjugacy classes of subgroups; only the 467 normal subgroups are shown.
This group has 3998 conjugacy classes of subgroups — too many to draw. Only its 467 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. #13113107 | C2 | semidirect |
| 4. #13113106 | C2 | semidirect |
| 5. C13×#1446 | C2 | semidirect |
| 8. C22×Q8×D13 | C4 | semidirect |
| 67. #1446 | D13 | semidirect |
| 168. C13 | #14336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Q8×D13 | 2 |
| C2×#11718325 | 2 |
| #13113107 | 2 |
| #13113106 | 2 |
| C13×#1446 | 2 |
| #14336 | 13 |