Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
228 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 35 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×#87839 | C2 | semidirect |
| 2. C2×#87838 | C2 | semidirect |
| 4. #11717033 | C2 | semidirect |
| 5. C4×#6034 | C2 | semidirect |
| 74. C52 | #495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87839 | 2 |
| C2×#87838 | 2 |
| C2×#87837 | 2 |
| #11717033 | 2 |
| C4×#6034 | 2 |
| #495 | 25 |