Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C151 ⋊ #346 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^1502440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34067245, #346×D151, C2×#23751987, … |
| maximal normal subgroup of | #34067245, #346×D151, C2×#23751987, … |
| maximal quotient of | #34067026, #34067029, #34067187, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 324);