Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #13117111 | C2 | semidirect |
| 3. #13112908 | C2 | semidirect |
| 4. #13112890 | C2 | semidirect |
| 50. C13×C16 | SD16 | semidirect |
| 131. C16 | #6105 | semidirect |
| 132. C13 | #12451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117111 | 2 |
| #13114225 | 2 |
| #13112908 | 2 |
| #13112890 | 2 |
| D4×C13×C16 | 2 |
| #12451 | 13 |