Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 1. #13122829 | C2 | semidirect |
| 3. #13112865 | C2 | semidirect |
| 4. #13112770 | C2 | semidirect |
| 55. C2×Q8×C13 | SD16 | semidirect |
| 203. C2×Q8 | #6105 | semidirect |
| 229. C13 | #12130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122829 | 2 |
| #13113805 | 2 |
| #13112865 | 2 |
| #13112770 | 2 |
| C13×#2007 | 2 |
| #12130 | 13 |