Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
534 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 128 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×C22⋊#6092 | C2 | semidirect |
| 2. #13129758 | C2 | direct (N × H) |
| 13. C22⋊#6092 | C22 | semidirect |
| 172. C2×C13 | #1315 | semidirect |
| 216. C13 | C2×#1315 | semidirect |
| 272. C2 | #13129758 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#6092 | 2 |
| #13129758 | 2 |
| C2×#11718895 | 2 |
| C2×#1315 | 13 |