Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1334 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=g,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,c^b=ceg,d^b=dg,e^b=eg,h^b=h^58844 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1334, C2×#21422065, #28498452, … |
| maximal normal subgroup of | D59×#1334, C2×#21422065, #28498452, … |
| maximal quotient of | #28475346, #28475358, #28475458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2479);