Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
212 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 1. D16×#261 | C2 | semidirect |
| 2. #13129998 | C2 | semidirect |
| 3. #13129985 | C2 | semidirect |
| 4. #13129942 | C2 | semidirect |
| 12. C13×D32 | C4 | semidirect |
| 13. #11718111 | C4 | semidirect |
| 14. D416 | C4 | semidirect |
| 22. C13×D16 | C2×C4 | semidirect |
| 24. D208 | C2×C4 | semidirect |
| 27. C13×C32 | C2×C4 | semidirect |
| 28. #88034 | C2×C4 | semidirect |
| 63. D32 | #261 | semidirect |
| 82. D16 | C2×#261 | semidirect |
| 90. C32 | C2×#261 | semidirect |
| 108. C13 | #13654 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D16×#261 | 2 |
| #13129998 | 2 |
| #13129985 | 2 |
| #13129942 | 2 |
| D13×D32 | 2 |
| #13654 | 13 |