Finite Group DatabasebetaFinite Group Databasebeta| order | 10832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C677 ⋊ C2 |
| Sylow | C677 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,677|a^2=d,b^a=bc,e^b=e^6762714 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C4×D677, C2×#24925368, #36343403, … |
| maximal normal subgroup of | C22⋊C4×D677, C2×#24925368, #36343403, … |
| maximal quotient of | #36343353, #36343358, #36343360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10832, 17);