Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#14558739 |
| Sylow | C149 ⋊ C22⋊C16 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,d^2=e,e^2=f,b^a=bc,g^a=g^105,g^d=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059611, #34059612, #34059613, … |
| maximal normal subgroup of | #34059611, #34059612, #34059613, … |
| maximal quotient of | #34059611, #34059627, D4⋊#14558739, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1443);