Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 390 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 |
|---|---|---|
| 2. #13129977 | C2 | direct (N × H) |
| 5. C2×#88124 | C4 | semidirect |
| 7. C2×C13×#97 | C4 | semidirect |
| 10. #11718374 | C4 | semidirect |
| 27. #88124 | C2×C4 | semidirect |
| 31. C13×#97 | C2×C4 | semidirect |
| 95. C2×#97 | #261 | semidirect |
| 133. #97 | C2×#261 | semidirect |
| 136. C2×C13 | #1412 | semidirect |
| 166. C13 | C2×#1412 | semidirect |
| 211. C2 | #13129977 | 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 |
| #13129977 | 2 |
| C2×#11718374 | 2 |
| C2×#1412 | 13 |