Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13123710 | C2 | semidirect |
| 3. C2×#11718102 | C2 | semidirect |
| 4. #13115747 | C2 | semidirect |
| 5. #13112944 | C2 | semidirect |
| 6. #13112924 | C2 | semidirect |
| 7. C2×C13×#357 | C2 | semidirect |
| 17. #11718808 | C4 | semidirect |
| 35. C2×C13×D8 | C2×C4 | semidirect |
| 68. #88052 | C2×C4 | semidirect |
| 127. C2×#357 | D13 | semidirect |
| 223. C2×D8 | C4×D13 | semidirect |
| 311. C13 | #13022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13123710 | 2 |
| C2×#11718102 | 2 |
| #13115747 | 2 |
| #13112944 | 2 |
| #13112924 | 2 |
| C2×C13×#357 | 2 |
| #13022 | 13 |