Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099031 |
| Fitting | C2×#117×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193677, #34193732, #34193736, … |
| maximal normal subgroup of | #34193677, #34193732, #34193736, … |
| maximal quotient of | C2×#23765739, C2×#117×Dic79, C2×C4×(C22⋊D79)⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17689);