Finite Group DatabasebetaFinite Group Databasebeta| order | 2096 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C131 ⋊ SD16 |
20 conjugacy classes of subgroups.
| minimal degree | μ(G) = 139 |
| transitive degree | μt(G) = 1048 |
Polycyclic presentation:
2^4,131|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^130,c^b=cd332 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×D131, C2×#14523501, #16862265, … |
| maximal normal subgroup of | SD16×D131, C2×#14523501, #16862265, … |
| maximal quotient of | #16862167, #16862169, #16862177, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2096, 28);