Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
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×#14579183 | C2 | semidirect |
| 2. #19099113 | C2 | semidirect |
| 3. #19098947 | C2 | semidirect |
| 4. #19098943 | C2 | semidirect |
| 5. #19098940 | C2 | semidirect |
| 6. #19098936 | C2 | semidirect |
| 7. C2×C4×C8×C79 | C2 | semidirect |
| 36. C2×C8×C79 | D4 | semidirect |
| 65. C4×C79 | #135 | semidirect |
| 73. C79 | #3147 | semidirect |
| 80. C2×C4×C8 | D79 | semidirect |
| 107. C2×C8 | D316 | semidirect |
| 139. C4 | #14579183 | semidirect |