Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
562 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13125763 | C2 | semidirect |
| 2. C2×#11718669 | C2 | semidirect |
| 4. #13113520 | C2 | semidirect |
| 5. #13113236 | C2 | semidirect |
| 6. #13112732 | C2 | semidirect |
| 7. C13×#1460 | C2 | semidirect |
| 84. C2×D4×C13 | SD16 | semidirect |
| 138. #1460 | D13 | semidirect |
| 304. C2×D4 | #6095 | semidirect |
| 341. C13 | #10180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125763 | 2 |
| C2×#11718669 | 2 |
| #13124300 | 2 |
| #13113520 | 2 |
| #13113236 | 2 |
| #13112732 | 2 |
| C13×#1460 | 2 |
| #10180 | 13 |