Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C149 ⋊ #347 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^105,c^b=cf,g^b=g^148,g^c=g^148614 conjugacy classes — view the full character table.
| maximal subgroup of | #34060908, C2×#23750518, #34060913, … |
| maximal normal subgroup of | #34060908, C2×#23750518, #34060913, … |
| maximal quotient of | #34059609, #34059733, C2×#23750518 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1442);