Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1370 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=ce,c^2=e,d^2=f,f^2=g,b^a=bc,c^a=ce,h^b=h^581216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D59×#1370, C2×#21422165, #28500258, … |
| maximal normal subgroup of | D59×#1370, C2×#21422165, #28500258, … |
| maximal quotient of | #28475428, #28475430, #28475551, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2579);