Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 155 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. C2×#11718091 | C2 | semidirect |
| 2. C22⋊#88034 | C2 | semidirect |
| 11. C2×#88034 | C22 | semidirect |
| 80. C22×C13 | M64 | semidirect |
| 124. C13 | #13553 | semidirect |
| 146. C22 | #11718091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718091 | 2 |
| C22⋊#88034 | 2 |
| C23×C13×C16 | 2 |
| #13553 | 13 |