Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C59 ⋊ #3079 |
416 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=e,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=dg,f^a=fg,h^b=h^58,f^c=fg670 conjugacy classes — view the full character table.
| maximal subgroup of | #28630139, #28630141, #28630150, … |
| maximal normal subgroup of | #28630139, #28630141, #28630150, … |
| maximal quotient of | #28588182, #28589662, #28589668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14321);