Finite Group DatabasebetaFinite Group Databasebeta| order | 9616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C601 ⋊ C2 |
| Sylow | C601 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,601|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^600,c^b=cd,e^b=e^6002407 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D601, C2×#23751273, #34063846, … |
| maximal normal subgroup of | SD16×D601, C2×#23751273, #34063846, … |
| maximal quotient of | #34063747, #34063750, #34063757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9616, 29);