Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×M16×D79 |
| Fitting | C22×M16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193503, (C2×D79)⋊#338, #34193541, … |
| maximal normal subgroup of | #34193503, (C2×D79)⋊#338, #34193541, … |
| maximal quotient of | C22×#97×D79, C2×C4×M16×D79, C22×M16×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19210);