Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
944 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11718888 | C2 | semidirect |
| 3. C2×#11718062 | C2 | semidirect |
| 4. C2×#11718129 | C2 | semidirect |
| 5. #13113107 | C2 | semidirect |
| 6. #13112678 | C2 | semidirect |
| 7. C2×C13×#448 | C2 | semidirect |
| 37. C22×Q8×C13 | D4 | semidirect |
| 72. C13×C22⋊C8 | D4 | semidirect |
| 80. C22⋊#1055 | D4 | semidirect |
| 134. C22×Dic13 | SD16 | semidirect |
| 156. C2×#448 | D13 | semidirect |
| 292. C22×Q8 | C22⋊D13 | semidirect |
| 330. C22⋊C8 | C22⋊D13 | semidirect |
| 419. C13 | #9964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718888 | 2 |
| #13120940 | 2 |
| C2×#11718062 | 2 |
| C2×#11718129 | 2 |
| #13113107 | 2 |
| #13112678 | 2 |
| C2×C13×#448 | 2 |
| #9964 | 13 |