Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| 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^a=g^105,g^b=g^148,g^c=g^148,g^e=g^148632 conjugacy classes — view the full character table.
| maximal subgroup of | #34059518, #34059523, #34059546, … |
| maximal normal subgroup of | #34059518, #34059523, #34059546, … |
| maximal quotient of | #34060406, C4×#18011968, C4×C4⋊#11924753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1568);