Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098641 |
| Sylow | C79 ⋊ C2×#436 |
552 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34178850, #34178852, #34179090, … |
| maximal normal subgroup of | #34178850, #34178852, #34179090, … |
| maximal quotient of | C2×#23762285, C2×#23762291, C2×#23762297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13197);