Finite Group DatabasebetaFinite Group Databasebeta| order | 17008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q8×C1063 ⋊ C2 |
| Sylow | C1063 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8504 |
Polycyclic presentation:
2^4,1063|a^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^10622662 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1063, C2×#30684377, #46801215, … |
| maximal normal subgroup of | SD16×D1063, C2×#30684377, #46801215, … |
| maximal quotient of | #46801115, #46801119, #46801126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17008, 27);