Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
890 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 203 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 |
|---|---|---|
| 85. C2×Q8×C13 | Q16 | semidirect |
| 261. C2×Q8 | #6107 | semidirect |
| 298. C13 | #18221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124871 | 2 |
| #13120198 | 2 |
| #13113878 | 2 |
| #13113810 | 2 |
| #13113400 | 2 |
| #13113160 | 2 |
| C13×#3502 | 2 |
| #18221 | 13 |