Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
644 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 3. #13130948 | C2 | semidirect |
| 4. #13130947 | C2 | semidirect |
| 5. #13129670 | C2 | semidirect |
| 6. #13129670 | C2 | semidirect |
| 25. C13×#331 | C4 | semidirect |
| 26. #11718136 | C4 | semidirect |
| 27. #11718077 | C4 | semidirect |
| 28. #11718077 | C4 | semidirect |
| 65. C13×C4⋊C8 | C2×C4 | semidirect |
| 66. C13×C4⋊C8 | C2×C4 | semidirect |
| 69. C4⋊#1055 | C2×C4 | semidirect |
| 70. C4⋊#1055 | C2×C4 | semidirect |
| 226. #331 | #261 | semidirect |
| 294. C4⋊C8 | C2×#261 | semidirect |
| 295. C4⋊C8 | C2×#261 | semidirect |
| 376. C13 | #8921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131366 | 2 |
| #13130964 | 2 |
| #13130948 | 2 |
| #13130947 | 2 |
| #13129670 | 2 |
| D13×#331 | 2 |
| #8921 | 13 |