Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1296 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1296 conjugacy classes of subgroups — too many to draw. Only its 147 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. #13114766 | C2 | semidirect |
| 3. C2×#11718117 | C2 | semidirect |
| 4. #13112714 | C2 | semidirect |
| 5. C13×#2315 | C2 | semidirect |
| 18. #11718621 | C4 | semidirect |
| 35. C22×D52 | C2×C4 | semidirect |
| 37. C2×C13×C4⋊C4 | D4 | semidirect |
| 52. #88071 | C2×C4 | semidirect |
| 119. #2315 | D13 | semidirect |
| 141. C23×C13 | #102 | semidirect |
| 270. C2×C4⋊C4 | C22⋊D13 | semidirect |
| 360. C13 | #9017 | semidirect |
| 402. C23 | #88049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718621 | 2 |
| #13114766 | 2 |
| C2×#11718117 | 2 |
| #13112714 | 2 |
| C13×#2315 | 2 |
| #9017 | 13 |