Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
242 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19098620 | C2 | semidirect |
| 2. C4×C4⋊Dic79 | C2 | semidirect |
| 3. #19098300 | C2 | semidirect |
| 13. #125×C79 | C4 | semidirect |
| 14. #124×C79 | C4 | semidirect |
| 18. C4×Q8×C79 | C4 | semidirect |
| 20. C4×D4×C79 | C4 | semidirect |
| 99. C79 | #1509 | semidirect |
| 106. #125 | Dic79 | semidirect |
| 107. #124 | Dic79 | semidirect |
| 111. C4×Q8 | Dic79 | semidirect |
| 113. C4×D4 | Dic79 | semidirect |