Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
190 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13113042 | C2 | direct (N × H) |
| 8. C13×M64 | C4 | semidirect |
| 10. C2×C13×C32 | C4 | semidirect |
| 28. C13×C32 | C2×C4 | semidirect |
| 68. M64 | Dic13 | semidirect |
| 70. C2×C32 | Dic13 | semidirect |
| 97. C32 | C2×Dic13 | semidirect |
| 100. C2×C13 | #1426 | semidirect |
| 119. C13 | C2×#1426 | semidirect |
| 145. C2 | #13113042 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718098 | 2 |
| C2×#11718097 | 2 |
| #13113042 | 2 |
| C2×C13×M64 | 2 |
| C2×#1426 | 13 |