Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 26. C2×C13×Q16 | C8 | semidirect |
| 146. C2×Q16 | #1057 | semidirect |
| 209. C13 | #9658 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131005 | 2 |
| C2×#11718253 | 2 |
| C2×Q8⋊#1057 | 2 |
| C2×#11718251 | 2 |
| C2×Q16×Dic13 | 2 |
| #9658 | 13 |