Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
243 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 243 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×C4⋊#1035 | C2 | semidirect |
| 3. D25⋊M16 | C2 | semidirect |
| 4. #11716426 | C2 | semidirect |
| 5. #11716424 | C2 | semidirect |
| 7. #41×C25 | C4 | semidirect |
| 8. #87748 | C4 | semidirect |
| 11. #87746 | C4 | semidirect |
| 15. #87744 | C4 | semidirect |
| 28. Q8×C25 | C2×C4 | semidirect |
| 30. D4×C25 | C2×C4 | semidirect |
| 39. D100 | C2×C4 | semidirect |
| 48. Dic50 | C2×C4 | semidirect |
| 127. C25 | #417 | semidirect |
| 149. #41 | #1035 | semidirect |
| 172. Q8 | C2×#1035 | semidirect |
| 179. D4 | C2×#1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D25 | 2 |
| C2×C4⋊#1035 | 2 |
| D25⋊M16 | 2 |
| #11716426 | 2 |
| #11716424 | 2 |
| #65793 | 5 |