Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×C22⋊D79 |
| Fitting | C22×M16×C79 ⋊ C2 |
| Sylow | C79 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34303616, #100×C22⋊D79, #34303624, … |
| maximal normal subgroup of | #34303616, #100×C22⋊D79, #34303624, … |
| maximal quotient of | M16×#11929609, #34259697, M16×#11929612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13244);