Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
456 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. C2×C4⋊#1039 | C2 | semidirect |
| 3. C52×C22⋊C8 | C2 | semidirect |
| 4. #11716688 | C2 | semidirect |
| 5. #11716685 | C2 | semidirect |
| 29. C5×C22⋊C8 | D5 | semidirect |
| 73. C22⋊C8 | C5⋊D5 | semidirect |
| 74. C52 | #480 | semidirect |
| 111. C5 | #65025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717250 | 2 |
| C2×C4⋊#1039 | 2 |
| C52×C22⋊C8 | 2 |
| #11716688 | 2 |
| #11716685 | 2 |
| #65025 | 5 |