Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
992 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 309 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 |
|---|---|---|
| 1. C22×#10621877 | C2 | semidirect |
| 2. C2×#13063242 | C2 | direct (N × H) |
| 5. C2×#10621877 | C22 | semidirect |
| 7. #13063242 | C22 | direct (N × H) |
| 30. #10621877 | C23 | semidirect |
| 57. C22×C43 | #100 | semidirect |
| 67. C2×C43 | C2×#100 | semidirect |
| 72. C43 | C22×#100 | semidirect |
| 126. C22 | #13063242 | direct (N × H) |
| 135. C2 | C2×#13063242 | direct (N × H) |