Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
592 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13063250 | C2 | semidirect |
| 3. C2×#13063249 | C2 | semidirect |
| 4. C2×#13063248 | C2 | semidirect |
| 7. C2×#103×C43 | C2 | semidirect |
| 15. C2×Q8×D43 | C4 | semidirect |
| 87. Q8×C43 | C22⋊C4 | semidirect |
| 118. Dic86 | C22⋊C4 | semidirect |
| 134. C2×D43 | #103 | semidirect |
| 157. C2×#103 | D43 | semidirect |
| 160. C43 | #1787 | semidirect |
| 245. Q8 | (C2×D43)⋊C4 | semidirect |