Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 110 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. C2×#11718216 | C2 | semidirect |
| 4. #108×#261 | C2 | semidirect |
| 5. #13129899 | C2 | semidirect |
| 6. #13129898 | C2 | semidirect |
| 21. #11718281 | C4 | semidirect |
| 22. #11718277 | C4 | semidirect |
| 25. C13×#359 | C4 | semidirect |
| 26. #11718159 | C4 | semidirect |
| 27. #11718102 | C4 | semidirect |
| 28. #11718089 | C4 | semidirect |
| 53. #88104 | C2×C4 | semidirect |
| 62. D13⋊C16 | C2×C4 | semidirect |
| 63. C2×C13×C16 | C2×C4 | semidirect |
| 64. C13×#108 | C2×C4 | semidirect |
| 66. #88059 | C2×C4 | semidirect |
| 67. C2×#6090 | C2×C4 | semidirect |
| 183. #359 | #261 | semidirect |
| 229. C2×C16 | C2×#261 | semidirect |
| 234. #108 | C2×#261 | semidirect |
| 300. C13 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×#261 | 2 |
| D13⋊#359 | 2 |
| C2×#11718216 | 2 |
| #108×#261 | 2 |
| #13129899 | 2 |
| #13129898 | 2 |
| D13×#359 | 2 |
| #12640 | 13 |