Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
310 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14583032 | C2 | semidirect |
| 2. #14582816 | C2 | semidirect |
| 3. #14582633 | C2 | semidirect |
| 4. #14582625 | C2 | semidirect |
| 5. C43×#537 | C2 | semidirect |
| 65. C2×C4×C43 | D8 | semidirect |
| 101. #537 | D43 | semidirect |
| 106. C43 | #1598 | semidirect |
| 171. C2×C4 | #10621882 | semidirect |