Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
440 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 102 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. #13130768 | C2 | semidirect |
| 3. #13130387 | C2 | semidirect |
| 5. #13129682 | C2 | semidirect |
| 6. #13129664 | C2 | semidirect |
| 93. C13×M16 | M16 | semidirect |
| 100. C42×C13 | M16 | semidirect |
| 275. M16 | #6118 | semidirect |
| 305. C42 | #6118 | semidirect |
| 306. C13 | #8841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131757 | 2 |
| #13130768 | 2 |
| #13130387 | 2 |
| #13130133 | 2 |
| #13129682 | 2 |
| #13129664 | 2 |
| #13114640 | 2 |
| #8841 | 13 |