Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C149 ⋊ C2 |
| 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^b=g^1482408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C16×D149, C2×#23749404, #34046300, … |
| maximal normal subgroup of | C22⋊C16×D149, C2×#23749404, #34046300, … |
| maximal quotient of | #34042614, #34042630, #34042645, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 328);