Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098461 |
| Sylow | C79 ⋊ C2×#389 |
800 conjugacy classes of subgroups.
2552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#23761222, C2×#23761224, #34176257, … |
| maximal normal subgroup of | C2×#23761222, C2×#23761224, #34176257, … |
| maximal quotient of | C2×#23761630, C2×#23761633, C4×#19098461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6961);