Finite Group DatabasebetaFinite Group Databasebeta| order | 10256 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C641 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,641|a^2=c,c^2=d,b^a=bd,e^a=e^6402570 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35206266, #35206267, #35206268, … |
| maximal normal subgroup of | #35206266, #35206267, #35206268, … |
| maximal quotient of | #35206261, C22⋊#19104054, C4⋊#19104054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10256, 24);