Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098672 |
| Fitting | C2×#102×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#442 |
608 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34286748, C4×#19098672, #34286775, … |
| maximal normal subgroup of | #34286748, C4×#19098672, #34286775, … |
| maximal quotient of | C2×#23762221, C2×#23762261, C2×#23762267, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13300);