Finite Group DatabasebetaFinite Group Databasebeta| order | 2096 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C131 ⋊ Q16 |
18 conjugacy classes of subgroups.
| minimal degree | μ(G) = 147 |
| transitive degree | μt(G) = 2096 |
Polycyclic presentation:
2^4,131|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^130332 conjugacy classes — view the full character table.
| maximal subgroup of | Q16×D131, C2×#14523503, #16862266, … |
| maximal normal subgroup of | Q16×D131, C2×#14523503, #16862266, … |
| maximal quotient of | #16862169, #16862170, #16862179, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2096, 30);