Finite Group DatabasebetaFinite Group Databasebeta| order | 10352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C647 ⋊ M16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,647|a^2=c,c^2=d,b^a=bd,e^a=e^6462594 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35208328, #35208329, #35208330, … |
| maximal normal subgroup of | #35208328, #35208329, #35208330, … |
| maximal quotient of | #35208323, C22⋊(C647⋊C8), C4⋊(C647⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10352, 24);