Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
254 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 136 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. #13129942 | C2 | direct (N × H) |
| 8. C2×#88036 | C4 | semidirect |
| 11. D13⋊C32 | C4 | semidirect |
| 13. C2×C13×C32 | C4 | semidirect |
| 14. C2×#88034 | C4 | semidirect |
| 15. D13×C32 | C4 | semidirect |
| 31. #88036 | C2×C4 | semidirect |
| 32. C13×C32 | C2×C4 | semidirect |
| 33. #88034 | C2×C4 | semidirect |
| 80. C2×C32 | #261 | semidirect |
| 108. C32 | C2×#261 | semidirect |
| 109. C2×C13 | #1397 | semidirect |
| 111. D13 | #1397 | semidirect |
| 131. C13 | C2×#1397 | semidirect |
| 157. C2 | #13129942 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊C32 | 2 |
| C2×C16×#261 | 2 |
| #13129942 | 2 |
| C2×D13×C32 | 2 |
| C2×#1397 | 13 |