Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
944 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 119 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×#11718888 | C2 | semidirect |
| 3. C2×#11718043 | C2 | semidirect |
| 4. #13112679 | C2 | semidirect |
| 5. C13×#1446 | C2 | semidirect |
| 24. C22×Q8×C13 | D4 | semidirect |
| 50. C22⋊#1055 | D4 | semidirect |
| 76. C22×C4×C13 | SD16 | semidirect |
| 104. #1446 | D13 | semidirect |
| 197. C22×Q8 | D52 | semidirect |
| 268. C22×C4 | #6106 | semidirect |
| 282. C13 | #9964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718888 | 2 |
| #13120938 | 2 |
| C2×#11718043 | 2 |
| #13112679 | 2 |
| C13×#1446 | 2 |
| #9964 | 13 |