Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13120198 | C2 | semidirect |
| 4. #13113264 | C2 | semidirect |
| 5. #13113231 | C2 | semidirect |
| 6. #13112696 | C2 | semidirect |
| 95. C2×Q8×C13 | SD16 | semidirect |
| 316. C2×Q8 | #6105 | semidirect |
| 361. C13 | #9999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124863 | 2 |
| #13120198 | 2 |
| #13113396 | 2 |
| #13113264 | 2 |
| #13113231 | 2 |
| #13112696 | 2 |
| C13×#3037 | 2 |
| #9999 | 13 |