Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1074 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1074 conjugacy classes of subgroups — too many to draw. Only its 219 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. C2×#11718682 | C2 | semidirect |
| 3. #13113957 | C2 | direct (N × H) |
| 5. C2×Q8⋊#1055 | C2 | semidirect |
| 21. #11718682 | C22 | semidirect |
| 26. Q8⋊#1055 | C22 | semidirect |
| 215. C2×C13 | #1630 | semidirect |
| 258. C13 | C2×#1630 | semidirect |
| 304. C2 | #13113957 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718737 | 2 |
| C2×#11718682 | 2 |
| #13113957 | 2 |
| C2×#11718136 | 2 |
| C2×Q8⋊#1055 | 2 |
| C2×C13×#559 | 2 |
| C2×#1630 | 13 |