Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2286 conjugacy classes of subgroups; only the 947 normal subgroups are shown.
This group has 2286 conjugacy classes of subgroups — too many to draw. Only its 947 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 |
|---|---|---|
| 13. C42×Dic13 | C4 | semidirect |
| 44. C42×C13 | C4⋊C4 | semidirect |
| 47. C4×Dic13 | C4⋊C4 | semidirect |
| 86. C4×C13 | #384 | semidirect |
| 88. Dic13 | #384 | semidirect |
| 126. C42 | #6101 | semidirect |
| 127. C13 | #14692 | semidirect |
| 155. C4 | #11718637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718596 | 2 |
| C2×#11718637 | 2 |
| C2×C42×Dic13 | 2 |
| C2×C13×#384 | 2 |
| #14692 | 13 |