Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 61 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×#11718114 | C2 | semidirect |
| 4. #13113018 | C2 | semidirect |
| 5. #13113017 | C2 | semidirect |
| 7. C2×C13×Q64 | C2 | semidirect |
| 75. C2×Q64 | D13 | semidirect |
| 118. C2×D13 | Q64 | semidirect |
| 179. C13 | #13665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×Q32 | 2 |
| C2×#11718114 | 2 |
| #13116924 | 2 |
| #13113018 | 2 |
| #13113017 | 2 |
| #13112973 | 2 |
| C2×C13×Q64 | 2 |
| #13665 | 13 |