Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 556 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 |
|---|---|---|
| 2. #13125382 | C2 | semidirect |
| 4. #13113518 | C2 | semidirect |
| 5. #13113290 | C2 | semidirect |
| 6. #13112674 | C2 | semidirect |
| 93. C13×M16 | SD16 | semidirect |
| 265. M16 | #6105 | semidirect |
| 287. C13 | #10161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125777 | 2 |
| #13125382 | 2 |
| C2×#11718731 | 2 |
| #13113518 | 2 |
| #13113290 | 2 |
| #13112674 | 2 |
| C13×#1965 | 2 |
| #10161 | 13 |