Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C59 ⋊ #3091 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,f^c=fg,h^c=h^58850 conjugacy classes — view the full character table.
| maximal subgroup of | #28483803, #28483805, #28560846, … |
| maximal normal subgroup of | #28483803, #28483805, #28560846, … |
| maximal quotient of | #28588478, #28589414, #28589911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14419);