Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19099551 |
| Fitting | C22×C4×C317 ⋊ C2 |
| Sylow | C317 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
2548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35202946, #35203070, C4×#19099551, … |
| maximal normal subgroup of | #35202946, #35203070, C4×#19099551, … |
| maximal quotient of | C2×#23778687, C4×#19099551, #35203078, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 97);