Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#14579093 |
| Sylow | C79 ⋊ C22×#106 |
600 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34194163, #34194165, #34194173, … |
| maximal normal subgroup of | #34194163, #34194165, #34194173, … |
| maximal quotient of | C22×#19098314, C2×#23762156, C2×#23762171, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13082);