Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099254 |
| Fitting | C2×C4×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#552 |
1124 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179911, #34254499, #34254507, … |
| maximal normal subgroup of | #34179911, #34254499, #34254507, … |
| maximal quotient of | C2×#23766263, C2×#23766265, C2×#23766281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18023);