Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
994 conjugacy classes of subgroups; only the 475 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 475 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. #13113138 | C2 | direct (N × H) |
| 3. C2×#11718047 | C2 | semidirect |
| 4. C2×C82×C13 | C2 | semidirect |
| 12. C82×C13 | C22 | semidirect |
| 13. #11718047 | C22 | semidirect |
| 35. C2×C8×C13 | M16 | semidirect |
| 47. C2×C82 | D13 | semidirect |
| 58. C8×C13 | C2×M16 | semidirect |
| 68. C82 | C2×D13 | semidirect |
| 90. C2×C13 | #1455 | semidirect |
| 102. C2×C8 | #6094 | semidirect |
| 108. C13 | C2×#1455 | semidirect |
| 120. C8 | C2×#6094 | semidirect |
| 129. C2 | #13113138 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6094 | 2 |
| #13113138 | 2 |
| C2×#11718047 | 2 |
| C2×C82×C13 | 2 |
| C2×#1455 | 13 |