Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 64 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. #13129975 | C2 | direct (N × H) |
| 4. C2×C13×#125 | C4 | semidirect |
| 8. #11718728 | C4 | semidirect |
| 11. C2×#88043 | C4 | semidirect |
| 19. C13×#125 | C2×C4 | semidirect |
| 33. #88043 | C2×C4 | semidirect |
| 89. C2×#125 | #261 | semidirect |
| 123. #125 | C2×#261 | semidirect |
| 136. C2×C13 | #1412 | semidirect |
| 166. C13 | C2×#1412 | semidirect |
| 211. C2 | #13129975 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718225 | 2 |
| #13129975 | 2 |
| C2×#11718728 | 2 |
| C2×#1412 | 13 |