Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic634 |
| Sylow | C317 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35203127, #35203128, #35203129, … |
| maximal normal subgroup of | #35203127, #35203128, #35203129, … |
| maximal quotient of | C22×#19099553, C22×C4⋊Dic317, C2×C4×Dic634, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 186);