Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 286 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. #13129859 | C2 | semidirect |
| 3. #13129858 | C2 | semidirect |
| 55. C8×D13 | C16 | semidirect |
| 78. C8×C13 | C2×C16 | semidirect |
| 82. #1055 | C2×C16 | semidirect |
| 128. D13 | #1367 | semidirect |
| 152. C13 | C2×#1367 | semidirect |
| 173. C8 | D13⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C4⋊C16) | 2 |
| #13129859 | 2 |
| #13129858 | 2 |
| C82×D13 | 2 |
| C2×#1367 | 13 |