Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
834 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 834 conjugacy classes of subgroups — too many to draw. Only its 147 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. C2×#11718120 | C2 | semidirect |
| 2. #13112768 | C2 | direct (N × H) |
| 13. #11718120 | C22 | semidirect |
| 20. C22×D4×C13 | C8 | semidirect |
| 58. C2×D4×C13 | C2×C8 | semidirect |
| 174. C22×D4 | #1055 | semidirect |
| 197. C2×C13 | #1318 | semidirect |
| 219. C2×D4 | C2×#1055 | semidirect |
| 245. C13 | C2×#1318 | semidirect |
| 321. C2 | #13112768 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718120 | 2 |
| #13112768 | 2 |
| C2×C13×#390 | 2 |
| C2×#1318 | 13 |