Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
279 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 279 conjugacy classes of subgroups — too many to draw. Only its 63 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×#87739 | C2 | semidirect |
| 3. #11716428 | C2 | direct (N × H) |
| 12. #87739 | C22 | semidirect |
| 62. C2×C25 | #100 | semidirect |
| 84. C25 | C2×#100 | semidirect |
| 150. C2 | #11716428 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊D25 | 2 |
| C2×#87739 | 2 |
| #11716428 | 2 |
| C2×#4013 | 5 |