Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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×Q8×D25 | C2 | semidirect |
| 2. C25×C4⋊Q8 | C2 | semidirect |
| 3. #11716508 | C2 | semidirect |
| 4. #11716458 | C2 | semidirect |
| 6. #11716450 | C2 | semidirect |
| 8. C4×Dic50 | C2 | semidirect |
| 36. D100 | Q8 | semidirect |
| 40. Dic50 | D4 | semidirect |
| 52. C2×D25 | C2×Q8 | semidirect |
| 56. C4×C25 | C2×Q8 | semidirect |
| 98. C4⋊Q8 | D25 | semidirect |
| 104. C25 | D4×Q8 | semidirect |
| 162. C4 | Q8×D25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D25 | 2 |
| C25×C4⋊Q8 | 2 |
| #11716508 | 2 |
| #11716458 | 2 |
| #11716455 | 2 |
| #11716450 | 2 |
| C4×D100 | 2 |
| C4×Dic50 | 2 |
| #66061 | 5 |