Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×C79⋊C16 |
| Sylow | C79 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34200032, SD16×C79⋊C16, #34200046, … |
| maximal normal subgroup of | #34200032, SD16×C79⋊C16, #34200046, … |
| maximal quotient of | C4⋊C4×C79⋊C16, #34205886, #34206270, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6414);