Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19098886 |
| Fitting | C2×#102×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#482 |
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19098886, #34295429, #34295494, … |
| maximal normal subgroup of | C4×#19098886, #34295429, #34295494, … |
| maximal quotient of | C2×#23763494, C2×#23763600, C2×#23763719, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14393);