Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D4⋊(C151⋊C8) |
| Sylow | C151 ⋊ D4⋊C8 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,c^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^150,c^b=ce1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4⋊C8×D151, C2×D4⋊(C151⋊C8), #34067489, … |
| maximal normal subgroup of | D4⋊C8×D151, C2×D4⋊(C151⋊C8), #34067489, … |
| maximal quotient of | #34066931, #34066933, #34066951, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 277);