Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
400 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 109 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×#87802 | C2 | semidirect |
| 4. C52×#108 | C2 | semidirect |
| 5. #11716691 | C2 | semidirect |
| 33. C5×#108 | D5 | semidirect |
| 71. #108 | C5⋊D5 | semidirect |
| 73. C52 | #473 | semidirect |
| 106. C5 | #65185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717229 | 2 |
| C2×#87802 | 2 |
| #11717221 | 2 |
| C52×#108 | 2 |
| #11716691 | 2 |
| #65185 | 5 |