Finite Group DatabasebetaFinite Group Databasebeta| order | 15536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C971 ⋊ C2 |
| Sylow | C971 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7768 |
Polycyclic presentation:
2^4,971|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^970,c^b=cd,e^b=e^9703887 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D971, C2×#29509478, #44527172, … |
| maximal normal subgroup of | SD16×D971, C2×#29509478, #44527172, … |
| maximal quotient of | #44527073, #44527076, #44527083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15536, 29);