Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
572 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 173 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. C2×#13063347 | C2 | semidirect |
| 2. #14583449 | C2 | semidirect |
| 3. #14583283 | C2 | semidirect |
| 4. #14583279 | C2 | semidirect |
| 5. #14583276 | C2 | semidirect |
| 6. #14583272 | C2 | semidirect |
| 7. C2×C4×C8×C43 | C2 | semidirect |
| 31. C2×C8×C43 | D4 | semidirect |
| 65. C4×C43 | #135 | semidirect |
| 79. C2×C4×C8 | D43 | semidirect |
| 80. C43 | #3147 | semidirect |
| 107. C2×C8 | D172 | semidirect |
| 139. C4 | #13063347 | semidirect |