Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
526 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 64 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×#11718225 | C2 | semidirect |
| 2. #13129967 | C2 | direct (N × H) |
| 4. C2×C13×#127 | C4 | semidirect |
| 9. #11718734 | C4 | semidirect |
| 11. C2×C4×#1055 | C4 | semidirect |
| 13. #11718225 | C22 | semidirect |
| 21. C13×#127 | C2×C4 | semidirect |
| 35. C4×#1055 | C2×C4 | semidirect |
| 103. C2×#127 | #261 | semidirect |
| 145. #127 | C2×#261 | semidirect |
| 155. C2×C13 | #1408 | semidirect |
| 190. C13 | C2×#1408 | semidirect |
| 245. C2 | #13129967 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718225 | 2 |
| #13129967 | 2 |
| C2×#11718734 | 2 |
| C2×#1408 | 13 |