Finite Group DatabasebetaFinite Group Databasebeta| order | 10288 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C643 ⋊ C2 |
| Sylow | C643 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,643|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^642,c^b=cd,e^b=e^6422575 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D643, C2×#23779902, #35207138, … |
| maximal normal subgroup of | SD16×D643, C2×#23779902, #35207138, … |
| maximal quotient of | #35207039, #35207042, #35207049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10288, 29);