Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098611 |
| Sylow | C79 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34194354, #34194356, #34194357, … |
| maximal normal subgroup of | #34194354, #34194356, #34194357, … |
| maximal quotient of | C2×#23762150, C2×#23762153, #34257252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13116);