Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
882 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 882 conjugacy classes of subgroups — too many to draw. Only its 187 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. #13114138 | C2 | direct (N × H) |
| 3. C2×#11718135 | C2 | semidirect |
| 4. C2×C13×#564 | C2 | semidirect |
| 6. C13×#564 | C22 | semidirect |
| 14. #11718135 | C22 | semidirect |
| 49. C2×#564 | D13 | semidirect |
| 65. #564 | C2×D13 | semidirect |
| 98. C2×C13 | #1658 | semidirect |
| 117. C13 | C2×#1658 | semidirect |
| 137. C2 | #13114138 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718728 | 2 |
| #13114138 | 2 |
| C2×#11718135 | 2 |
| C2×C13×#564 | 2 |
| C2×#1658 | 13 |