Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1006 conjugacy classes of subgroups; only the 459 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 459 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 |
|---|---|---|
| 26. C4×C8×C13 | Q8 | semidirect |
| 62. C8×C13 | C4⋊Q8 | semidirect |
| 78. C4×C13 | #500 | semidirect |
| 93. C4×C8 | Dic26 | semidirect |
| 115. C13 | #33312 | semidirect |
| 129. C8 | #88123 | semidirect |
| 135. C4 | #11718343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718343 | 2 |
| #13123234 | 2 |
| #13114996 | 2 |
| C42×C8×C13 | 2 |
| #33312 | 13 |