Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q16×C131 ⋊ C2 |
| Sylow | C131 ⋊ #473 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,131|a^2=f,b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,e^c=ef,g^c=g^130926 conjugacy classes — view the full character table.
| maximal subgroup of | #30667929, #30667931, #30667936, … |
| maximal normal subgroup of | #30667929, #30667931, #30667936, … |
| maximal quotient of | #30665323, #30665328, #30665347, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 821);