Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3754 conjugacy classes of subgroups; only the 555 normal subgroups are shown.
This group has 3754 conjugacy classes of subgroups — too many to draw. Only its 555 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×#11718901 | C2 | semidirect |
| 2. #13117428 | C2 | semidirect |
| 3. #13114784 | C2 | semidirect |
| 6. C13×#585 | C4 | semidirect |
| 12. C2×#88180 | C22 | semidirect |
| 13. C22×C4⋊Dic13 | C22 | semidirect |
| 17. #11718881 | C22 | semidirect |
| 18. C2×#88074 | C22 | semidirect |
| 71. C2×Q8×C13 | C22⋊C4 | semidirect |
| 80. C2×D4×C13 | C22⋊C4 | semidirect |
| 88. C22×C4×C13 | C22⋊C4 | semidirect |
| 144. #585 | Dic13 | semidirect |
| 232. C2×Q8 | C22⋊Dic13 | semidirect |
| 241. C2×D4 | C22⋊Dic13 | semidirect |
| 252. C22×C4 | C22⋊Dic13 | semidirect |
| 264. C13 | #20610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718901 | 2 |
| #13117428 | 2 |
| #13114784 | 2 |
| C2×C13×#585 | 2 |
| #20610 | 13 |