Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
658 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 97 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×#11718728 | C2 | semidirect |
| 3. #13115659 | C2 | semidirect |
| 4. C2×#11718135 | C2 | semidirect |
| 5. C2×#11718132 | C2 | semidirect |
| 6. #13112717 | C2 | semidirect |
| 7. C13×#2820 | C2 | semidirect |
| 136. #2820 | D13 | semidirect |
| 343. C13 | #10079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718719 | 2 |
| C2×#11718728 | 2 |
| #13115659 | 2 |
| C2×#11718135 | 2 |
| C2×#11718132 | 2 |
| #13112717 | 2 |
| C13×#2820 | 2 |
| #10079 | 13 |