Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
882 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 882 conjugacy classes of subgroups — too many to draw. Only its 171 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. C2×C13⋊#564 | C2 | semidirect |
| 4. #13114139 | C2 | direct (N × H) |
| 5. C2×#11718057 | C2 | semidirect |
| 6. C2×C13×#330 | C2 | semidirect |
| 10. C13⋊#564 | C22 | semidirect |
| 25. C13×#330 | C22 | semidirect |
| 26. #11718057 | C22 | semidirect |
| 106. C2×#330 | D13 | semidirect |
| 148. #330 | C2×D13 | semidirect |
| 200. C2×C13 | #1658 | semidirect |
| 239. C13 | C2×#1658 | semidirect |
| 276. C2 | #13114139 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13⋊#564 | 2 |
| C2×#11718728 | 2 |
| C2×#11718374 | 2 |
| #13114139 | 2 |
| C2×#11718057 | 2 |
| C2×C13×#330 | 2 |
| C2×#1658 | 13 |