Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
574 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 574 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. C2×#11718742 | C2 | semidirect |
| 4. #13113509 | C2 | semidirect |
| 6. #13112674 | C2 | semidirect |
| 7. C13×#1997 | C2 | semidirect |
| 94. C13×M16 | SD16 | semidirect |
| 122. #1997 | D13 | semidirect |
| 269. M16 | #6106 | semidirect |
| 291. C13 | #10170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125761 | 2 |
| #13125295 | 2 |
| C2×#11718742 | 2 |
| #13113509 | 2 |
| #13113286 | 2 |
| #13112674 | 2 |
| C13×#1997 | 2 |
| #10170 | 13 |