Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#14579151 |
| Sylow | C79 ⋊ C4×#125 |
484 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#14579151, #34296569, #34296575, … |
| maximal normal subgroup of | C8×#14579151, #34296569, #34296575, … |
| maximal quotient of | C4×#19098444, C4×#19098449, C4×#19098448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7066);