Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C149 ⋊ #340 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,c^2=f,e^2=f,b^a=bc,c^a=cf,e^a=ef,g^b=g^1481508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #340×D149, C2×#23749387, #34044406, … |
| maximal normal subgroup of | #340×D149, C2×#23749387, #34044406, … |
| maximal quotient of | #34042525, #34042530, #34042532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 311);