Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
374 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 113 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×#13063249 | C2 | semidirect |
| 5. #14582661 | C2 | semidirect |
| 6. #14582654 | C2 | semidirect |
| 7. C2×C4×Q8×C43 | C2 | semidirect |
| 11. C2×#10621884 | C4 | semidirect |
| 73. Q8×C43 | C22⋊C4 | semidirect |
| 85. C2×C4×C43 | SD16 | semidirect |
| 134. C2×C4×Q8 | D43 | semidirect |
| 140. C43 | #1880 | semidirect |
| 206. Q8 | (C2×D43)⋊C4 | semidirect |
| 225. C2×C4 | #10621884 | semidirect |