Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098462 |
| Sylow | C79 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34194258, #34194263, #34194282, … |
| maximal normal subgroup of | #34194258, #34194263, #34194282, … |
| maximal quotient of | C2×#23761629, C2×#23761634, C4×#19098462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6962);