Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
384 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 2. C52×C4⋊C8 | C2 | semidirect |
| 5. #11716682 | C2 | semidirect |
| 6. C8×#1039 | C2 | semidirect |
| 7. C4⋊#6029 | C2 | semidirect |
| 34. C5×C4⋊C8 | D5 | semidirect |
| 82. C4⋊C8 | C5⋊D5 | semidirect |
| 87. C52 | #433 | semidirect |
| 127. C5 | #65129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717192 | 2 |
| C52×C4⋊C8 | 2 |
| #11716687 | 2 |
| #11716682 | 2 |
| C8×#1039 | 2 |
| C4⋊#6029 | 2 |
| #65129 | 5 |