Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | #125×C149 ⋊ C2 |
| Sylow | C149 ⋊ #488 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^148,g^b=g^148,g^c=g^1481058 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #488×D149, C2×#23749982, #34055012, … |
| maximal normal subgroup of | #488×D149, C2×#23749982, #34055012, … |
| maximal quotient of | #34044821, #34045366, #34045373, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 906);