Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 155 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×#11718565 | C2 | semidirect |
| 2. #13117145 | C2 | direct (N × H) |
| 3. C2×Dic208 | C2 | semidirect |
| 4. C2×#11718041 | C2 | semidirect |
| 5. C2×D416 | C2 | semidirect |
| 6. C22×C13×C32 | C2 | semidirect |
| 11. #11718565 | C22 | semidirect |
| 16. C2×C13×C32 | C22 | semidirect |
| 17. Dic208 | C22 | semidirect |
| 18. #11718041 | C22 | semidirect |
| 19. D416 | C22 | semidirect |
| 63. C22×C32 | D13 | semidirect |
| 92. C2×C32 | C2×D13 | semidirect |
| 121. C2×C13 | #2262 | semidirect |
| 143. C13 | C2×#2262 | semidirect |
| 171. C2 | #13117145 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718565 | 2 |
| #13117145 | 2 |
| C2×Dic208 | 2 |
| C2×#11718041 | 2 |
| C2×D416 | 2 |
| C22×C13×C32 | 2 |
| C2×#2262 | 13 |