Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4⋊C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ #431 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,c^2=d,e^2=f,b^a=bd,g^b=g^148,g^c=g^1481520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043070, #34043072, #34043080, … |
| maximal normal subgroup of | #34043070, #34043072, #34043080, … |
| maximal quotient of | #34044435, #34044448, C4⋊C8×Dic149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 601);