Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
676 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 122 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. #13129656 | C2 | semidirect |
| 57. C2×Q8×C13 | M16 | semidirect |
| 225. C2×Q8 | #6122 | semidirect |
| 263. C13 | #7609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130727 | 2 |
| #13130499 | 2 |
| #13129656 | 2 |
| C2×#11718891 | 2 |
| #7609 | 13 |