Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
206 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13129998 | C2 | direct (N × H) |
| 8. C2×C13×C32 | C4 | semidirect |
| 9. C2×#88034 | C4 | semidirect |
| 10. D13×C32 | C4 | semidirect |
| 22. C13×C32 | C2×C4 | semidirect |
| 23. #88034 | C2×C4 | semidirect |
| 60. C2×C32 | #261 | semidirect |
| 83. C32 | C2×#261 | semidirect |
| 84. C2×C13 | #1424 | semidirect |
| 86. D13 | #1424 | semidirect |
| 102. C13 | C2×#1424 | semidirect |
| 127. C2 | #13129998 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718221 | 2 |
| #13129998 | 2 |
| C2×D13×C32 | 2 |
| C2×#1424 | 13 |