Finite Group DatabasebetaFinite Group Databasebeta| order | 16496 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic1031⋊C4 |
| Sylow | C1031 ⋊ C4⋊C4 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16496 |
Polycyclic presentation:
2^4,1031|a^2=d,b^2=c,b^a=bc,e^b=e^10304130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C4×D1031, C2×Dic1031⋊C4, #45682380, … |
| maximal normal subgroup of | C4⋊C4×D1031, C2×Dic1031⋊C4, #45682380, … |
| maximal quotient of | C1031⋊#95, Dic1031⋊C8, #45682355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16496, 19);