Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 18. C13×Q32 | C8 | semidirect |
| 65. #1055 | Q32 | direct (N × H) |
| 86. Q32 | #1055 | direct (N × H) |
| 117. C13 | C8×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×#1055 | 2 |
| #13112908 | 2 |
| #13112800 | 2 |
| C16×#1055 | 2 |
| C4×C13×Q32 | 2 |
| C8×Q32 | 13 |