Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C149 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^1481502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | H(3,ℤ/4)×D149, C2×#23749381, #34044445, … |
| maximal normal subgroup of | H(3,ℤ/4)×D149, C2×#23749381, #34044445, … |
| maximal quotient of | #34042519, #34042520, #34042521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 305);