Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098329 |
| Sylow | C79 ⋊ C2×#342 |
680 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #342×Dic79, C4×#19098329, #34193529, … |
| maximal normal subgroup of | #342×Dic79, C4×#19098329, #34193529, … |
| maximal quotient of | C2×#23761242, #34177862, #34177868, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4239);