Finite Group DatabasebetaFinite Group Databasebeta| order | 10144 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic634 |
| Sylow | C317 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
2548 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35202953, #35202955, C4×#19099562, … |
| maximal normal subgroup of | #35202953, #35202955, C4×#19099562, … |
| maximal quotient of | C4×C4⋊Dic317, C4×#19099553, #35203106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10144, 112);