Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
165 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 165 conjugacy classes of subgroups — too many to draw. Only its 65 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. C25×#97 | C2 | semidirect |
| 4. #11716363 | C2 | semidirect |
| 5. #11716351 | C2 | semidirect |
| 73. #97 | D25 | semidirect |
| 74. C25 | #432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C42×D25 | 2 |
| C25×#97 | 2 |
| #11716368 | 2 |
| #11716363 | 2 |
| #11716351 | 2 |
| #64994 | 5 |