Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
514 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 159 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×#11718084 | C2 | semidirect |
| 4. C2×C4×#6090 | C2 | semidirect |
| 5. C13×#1846 | C2 | semidirect |
| 16. #11718357 | C4 | semidirect |
| 89. #1846 | D13 | semidirect |
| 217. C13 | #13204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718357 | 2 |
| C2×#11718084 | 2 |
| C2×#11718083 | 2 |
| C2×C4×#6090 | 2 |
| C13×#1846 | 2 |
| #13204 | 13 |