Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
432 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 155 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. #11717189 | C2 | semidirect |
| 4. #11716674 | C2 | semidirect |
| 5. C4⋊#6029 | C2 | semidirect |
| 18. C52×D4 | Q8 | semidirect |
| 58. C5×D4 | Dic10 | semidirect |
| 72. C52 | #474 | semidirect |
| 99. D4 | #6045 | semidirect |
| 107. C5 | #65296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C52×D4 | 2 |
| #11717189 | 2 |
| #11716699 | 2 |
| #11716674 | 2 |
| C4⋊#6029 | 2 |
| #65296 | 5 |