Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2022 conjugacy classes of subgroups; only the 571 normal subgroups are shown.
This group has 2022 conjugacy classes of subgroups — too many to draw. Only its 571 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. C22×C4⋊#1055 | C2 | semidirect |
| 2. C2×#11718136 | C2 | direct (N × H) |
| 12. C2×C4⋊#1055 | C22 | semidirect |
| 13. #11718136 | C22 | direct (N × H) |
| 34. C4⋊#1055 | C23 | semidirect |
| 100. C22×C13 | #331 | semidirect |
| 131. C2×C13 | C2×#331 | semidirect |
| 160. C13 | C22×#331 | semidirect |
| 186. C22 | #11718136 | direct (N × H) |
| 196. C2 | C2×#11718136 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#1055 | 2 |
| C2×#11718136 | 2 |
| C22×C13×#127 | 2 |
| C22×#331 | 13 |