Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
303 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 303 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×D25⋊C8 | C2 | semidirect |
| 4. #11716424 | C2 | direct (N × H) |
| 7. C2×D4×C25 | C4 | semidirect |
| 11. D4×D25 | C4 | semidirect |
| 13. C2×D100 | C4 | semidirect |
| 17. C4⋊#1035 | C22 | semidirect |
| 19. D25⋊C8 | C22 | semidirect |
| 31. D4×C25 | C2×C4 | semidirect |
| 37. D100 | C2×C4 | semidirect |
| 81. C2×C25 | #102 | semidirect |
| 84. D25 | #102 | semidirect |
| 113. C25 | C2×#102 | semidirect |
| 138. C2×D4 | #1035 | semidirect |
| 165. D4 | C2×#1035 | semidirect |
| 198. C2 | #11716424 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D25 | 2 |
| C2×C4⋊#1035 | 2 |
| C2×D25⋊C8 | 2 |
| #11716424 | 2 |
| C2×#4007 | 5 |