Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
548 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13113157 | C2 | semidirect |
| 2. #13113154 | C2 | semidirect |
| 3. #13112784 | C2 | semidirect |
| 4. #13112764 | C2 | semidirect |
| 30. C13×#120 | C8 | semidirect |
| 66. C24×C13 | C2×C8 | semidirect |
| 104. C13×C22⋊C4 | C2×C8 | semidirect |
| 233. #120 | #1055 | semidirect |
| 275. C24 | C2×#1055 | semidirect |
| 317. C22⋊C4 | C2×#1055 | semidirect |
| 321. C13 | #11473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113157 | 2 |
| #13113154 | 2 |
| #13112784 | 2 |
| #13112764 | 2 |
| C13×#2321 | 2 |
| #11473 | 13 |