Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2528 |
| Fitting | C2×C32×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
2534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176146, #34176148, #34176158, … |
| maximal normal subgroup of | #34176146, #34176148, #34176158, … |
| maximal quotient of | C2×#23761579, C2×#23761600, C4×D2528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6808);