Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099137 |
| Fitting | C23×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#536 |
1512 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34194799, #34194847, #34194862, … |
| maximal normal subgroup of | #34194799, #34194847, #34194862, … |
| maximal quotient of | C2×#23765986, C2×#23765993, C2×#23766024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17827);