Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14579192 | C2 | semidirect |
| 3. C2×#14579089 | C2 | semidirect |
| 4. #19098572 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. C2×#124×C79 | C2 | semidirect |
| 43. #11929608 | D4 | semidirect |
| 56. C2×Q8×C79 | D4 | semidirect |
| 68. C42×C79 | D4 | semidirect |
| 132. C79 | #2004 | semidirect |
| 135. C2×#124 | D79 | semidirect |
| 172. C2×Q8 | C22⋊D79 | semidirect |
| 200. C42 | C22⋊D79 | semidirect |