Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 306 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 |
|---|---|---|
| 1. C2×#11718249 | C2 | semidirect |
| 2. #13129951 | C2 | direct (N × H) |
| 12. #11718249 | C22 | semidirect |
| 130. C2×C13 | #1400 | semidirect |
| 157. C13 | C2×#1400 | semidirect |
| 197. C2 | #13129951 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718249 | 2 |
| #13129951 | 2 |
| C22×#88052 | 2 |
| C2×#1400 | 13 |