Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 128 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. #13129776 | C2 | direct (N × H) |
| 21. C2×C42×C13 | C8 | semidirect |
| 62. C42×C13 | C2×C8 | semidirect |
| 150. C2×C42 | #1057 | semidirect |
| 159. C2×C13 | #1324 | semidirect |
| 193. C42 | C2×#1057 | semidirect |
| 194. C13 | C2×#1324 | semidirect |
| 251. C2 | #13129776 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718285 | 2 |
| #13129776 | 2 |
| C2×#11718597 | 2 |
| C2×#1324 | 13 |