Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
408 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13113610 | C2 | semidirect |
| 3. #13113521 | C2 | semidirect |
| 4. #13113517 | C2 | semidirect |
| 6. #13112733 | C2 | semidirect |
| 261. C13 | #10449 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114828 | 2 |
| #13113610 | 2 |
| #13113521 | 2 |
| #13113517 | 2 |
| #13113227 | 2 |
| #13112733 | 2 |
| C2×C13×#474 | 2 |
| #10449 | 13 |