Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1614 conjugacy classes of subgroups; only the 752 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 752 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 |
|---|---|---|
| 3. #13130493 | C2 | semidirect |
| 10. #11719047 | C4 | semidirect |
| 11. C4×D13⋊C8 | C4 | semidirect |
| 28. #88110 | C2×C4 | semidirect |
| 29. C4×#1057 | C2×C4 | semidirect |
| 108. D13 | #1726 | semidirect |
| 127. C13 | C2×#1726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719047 | 2 |
| C2×C4×D13⋊C8 | 2 |
| #13130493 | 2 |
| D13×#376 | 2 |
| C2×#1726 | 13 |