Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1190 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1190 conjugacy classes of subgroups — too many to draw. Only its 219 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×#11718746 | C2 | semidirect |
| 2. C2×#11718676 | C2 | semidirect |
| 3. #13113919 | C2 | direct (N × H) |
| 4. C2×#11718138 | C2 | semidirect |
| 5. C2×D4⋊#1055 | C2 | semidirect |
| 6. C2×C13×#555 | C2 | semidirect |
| 9. C13×#555 | C22 | semidirect |
| 19. #11718746 | C22 | semidirect |
| 21. #11718676 | C22 | semidirect |
| 25. #11718138 | C22 | semidirect |
| 26. D4⋊#1055 | C22 | semidirect |
| 110. C2×#555 | D13 | semidirect |
| 155. #555 | C2×D13 | semidirect |
| 228. C2×C13 | #1624 | semidirect |
| 275. C13 | C2×#1624 | semidirect |
| 330. C2 | #13113919 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718746 | 2 |
| C2×#11718676 | 2 |
| #13113919 | 2 |
| C2×#11718138 | 2 |
| C2×D4⋊#1055 | 2 |
| C2×C13×#555 | 2 |
| C2×#1624 | 13 |