Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 94 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. #13130950 | C2 | semidirect |
| 3. #13130392 | C2 | semidirect |
| 5. #13129728 | C2 | semidirect |
| 6. #13129668 | C2 | semidirect |
| 135. D4×C13 | #108 | semidirect |
| 315. C13 | #8908 | semidirect |
| 327. D4 | #88104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×#6118 | 2 |
| #13130950 | 2 |
| #13130392 | 2 |
| #13130162 | 2 |
| #13129728 | 2 |
| #13129668 | 2 |
| D13×D4⋊C8 | 2 |
| #8908 | 13 |