Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D317 |
| Fitting | C22×C4×C317 ⋊ C2 |
| Sylow | C317 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35203286, C8×C22⋊D317, #35203291, … |
| maximal normal subgroup of | #35203286, C8×C22⋊D317, #35203291, … |
| maximal quotient of | C4×C22⋊Dic317, C4×#19099551, C4×#19099553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 107);