Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
620 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 94 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. #13131349 | C2 | semidirect |
| 2. #13130267 | C2 | semidirect |
| 3. #13130217 | C2 | semidirect |
| 4. #13130136 | C2 | semidirect |
| 5. #13129732 | C2 | semidirect |
| 6. #13129691 | C2 | semidirect |
| 20. C13×#461 | C4 | semidirect |
| 22. #11718744 | C4 | semidirect |
| 23. #11718676 | C4 | semidirect |
| 24. #11718504 | C4 | semidirect |
| 45. C13×C4⋊Q8 | C2×C4 | semidirect |
| 64. #88128 | C2×C4 | semidirect |
| 78. C13×C4⋊C8 | C2×C4 | semidirect |
| 84. C4⋊#1055 | C2×C4 | semidirect |
| 223. #461 | #261 | semidirect |
| 282. C4⋊Q8 | C2×#261 | semidirect |
| 309. C4⋊C8 | C2×#261 | semidirect |
| 396. C13 | #9179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131349 | 2 |
| #13130267 | 2 |
| #13130217 | 2 |
| #13130136 | 2 |
| #13129732 | 2 |
| #13129691 | 2 |
| #13124301 | 2 |
| #9179 | 13 |