Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
648 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 95 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. C2×#11718747 | C2 | semidirect |
| 2. C2×#11718750 | C2 | semidirect |
| 4. C2×#11718056 | C2 | semidirect |
| 5. C2×#11718056 | C2 | semidirect |
| 6. #13112717 | C2 | semidirect |
| 7. C13×#1993 | C2 | semidirect |
| 41. C13×C4⋊Q8 | D4 | semidirect |
| 75. #88043 | D4 | semidirect |
| 76. #88043 | D4 | semidirect |
| 137. #1993 | D13 | semidirect |
| 250. C4⋊Q8 | D52 | semidirect |
| 343. C13 | #10081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718747 | 2 |
| C2×#11718750 | 2 |
| #13122882 | 2 |
| C2×#11718056 | 2 |
| #13112717 | 2 |
| C13×#1993 | 2 |
| #10081 | 13 |