Finite Group DatabasebetaFinite Group Databasebeta| order | 16496 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C1031 ⋊ C2 |
| Sylow | C1031 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8248 |
Polycyclic presentation:
2^4,1031|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1030,c^b=cd,e^b=e^10304127 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D1031, C2×#30658157, #45682445, … |
| maximal normal subgroup of | SD16×D1031, C2×#30658157, #45682445, … |
| maximal quotient of | #45682346, #45682349, #45682356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16496, 29);