Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 2. C2×#11718221 | C2 | semidirect |
| 4. #13130954 | C2 | semidirect |
| 5. #13129912 | C2 | semidirect |
| 6. #13129889 | C2 | semidirect |
| 25. C13×#359 | C4 | semidirect |
| 26. #11718159 | C4 | semidirect |
| 27. #11718102 | C4 | semidirect |
| 28. #11718089 | 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 |
| 233. C2×C16 | C2×#261 | semidirect |
| 236. #108 | C2×#261 | semidirect |
| 305. C13 | #12945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131598 | 2 |
| C2×#11718221 | 2 |
| #13131144 | 2 |
| #13130954 | 2 |
| #13129912 | 2 |
| #13129889 | 2 |
| D13×#359 | 2 |
| #12945 | 13 |