Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1766 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1766 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 |
|---|---|---|
| 1. C2×#11718137 | C2 | semidirect |
| 2. #13114751 | C2 | semidirect |
| 5. C23×D4×C13 | C4 | semidirect |
| 9. C2×C13×#127 | C4 | semidirect |
| 11. C22×C42×C13 | C4 | semidirect |
| 14. C2×#88074 | C22 | semidirect |
| 81. C2×D4×C13 | C22⋊C4 | semidirect |
| 94. C42×C13 | C22⋊C4 | semidirect |
| 149. C23×D4 | Dic13 | semidirect |
| 153. C2×#127 | Dic13 | semidirect |
| 155. C22×C42 | Dic13 | semidirect |
| 179. C22×C13 | #353 | semidirect |
| 259. C2×D4 | C22⋊Dic13 | semidirect |
| 275. C42 | C22⋊Dic13 | semidirect |
| 276. C13 | #12693 | semidirect |
| 343. C22 | #11718137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718137 | 2 |
| #13114751 | 2 |
| C22×C13×#127 | 2 |
| #12693 | 13 |