Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1174 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1174 conjugacy classes of subgroups — too many to draw. Only its 191 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. #13125763 | C2 | semidirect |
| 3. #13120041 | C2 | semidirect |
| 4. #13113807 | C2 | semidirect |
| 5. #13113332 | C2 | semidirect |
| 6. C13×#1461 | C2 | semidirect |
| 77. C2×Q8×C13 | SD16 | semidirect |
| 128. #1461 | D13 | semidirect |
| 266. C2×Q8 | #6095 | semidirect |
| 302. C13 | #18402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128607 | 2 |
| #13125763 | 2 |
| #13120041 | 2 |
| #13113807 | 2 |
| #13113332 | 2 |
| C13×#1461 | 2 |
| #18402 | 13 |