Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1350 conjugacy classes of subgroups; only the 504 normal subgroups are shown.
This group has 1350 conjugacy classes of subgroups — too many to draw. Only its 504 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. #13130768 | C2 | semidirect |
| 38. C42×C13 | M16 | semidirect |
| 73. C4×C13 | #423 | semidirect |
| 108. C42 | #6118 | semidirect |
| 110. C13 | #20791 | semidirect |
| 132. C4 | #11719052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719052 | 2 |
| #13130768 | 2 |
| C43×D13 | 2 |
| #20791 | 13 |