Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
332 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 93 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. #41×Dic79 | C2 | semidirect |
| 2. #19098580 | C2 | semidirect |
| 3. C2×#14579088 | C2 | semidirect |
| 4. #19098537 | C2 | semidirect |
| 5. #19098335 | C2 | semidirect |
| 6. #19098324 | C2 | semidirect |
| 24. #137×C79 | C4 | semidirect |
| 26. AGL(1,ℤ/8)×C79 | C4 | semidirect |
| 54. C2×Q8×C79 | C2×C4 | semidirect |
| 58. C2×D4×C79 | C2×C4 | semidirect |
| 68. M16×C79 | C2×C4 | semidirect |
| 130. C79 | #1906 | semidirect |
| 141. #137 | Dic79 | semidirect |
| 143. AGL(1,ℤ/8) | Dic79 | semidirect |
| 167. C2×Q8 | C2×Dic79 | semidirect |
| 171. C2×D4 | C2×Dic79 | semidirect |
| 185. M16 | C2×Dic79 | semidirect |