Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×C79⋊#401 |
| unambiguous semidirect product | (C2×C79)⋊#401 |
| Sylow | C79 ⋊ C2×#401 |
516 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34210131, C4×C79⋊#401, #34214580, … |
| maximal normal subgroup of | #34210131, C4×C79⋊#401, #34214580, … |
| maximal quotient of | C2×#23761660, C2×#23761661, C2×#23761662, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7806);