Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
676 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 181 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×#14579150 | C2 | semidirect |
| 3. #19098480 | C2 | semidirect |
| 4. #19098465 | C2 | semidirect |
| 5. #19098464 | C2 | semidirect |
| 6. C4×C4⋊Dic79 | C2 | semidirect |
| 7. C2×C4×Q8×C79 | C2 | semidirect |
| 39. C2×Q8×C79 | D4 | semidirect |
| 88. C4×C79 | #124 | semidirect |
| 97. C79 | #2548 | semidirect |
| 100. C2×C4×Q8 | D79 | semidirect |
| 124. C2×Q8 | D316 | semidirect |
| 186. C4 | #14579150 | semidirect |