Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099118 |
| Fitting | C2×C4⋊Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179766, #34179768, #34179775, … |
| maximal normal subgroup of | #34179766, #34179768, #34179775, … |
| maximal quotient of | C2×#23765805, C2×#23765871, C2×#23765875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17799);