Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 143 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×#11718104 | C2 | semidirect |
| 4. #13112918 | C2 | semidirect |
| 5. C13×#1376 | C2 | semidirect |
| 16. #11718106 | C4 | semidirect |
| 37. C13×M32 | C2×C4 | semidirect |
| 43. #88052 | C2×C4 | semidirect |
| 87. #1376 | D13 | semidirect |
| 164. M32 | C4×D13 | semidirect |
| 212. C13 | #12607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6094 | 2 |
| C2×#11718106 | 2 |
| C2×#11718104 | 2 |
| #13112918 | 2 |
| C13×#1376 | 2 |
| #12607 | 13 |