Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C59 ⋊ #1290 |
136 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=e,c^2=fg,d^2=f,e^2=fg,b^a=bc,c^a=cf,e^a=efg,h^a=h^58,d^b=dg1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28475374, #28475375, #28475377, … |
| maximal normal subgroup of | #28475374, #28475375, #28475377, … |
| maximal quotient of | #28475227, #28475235, #28475276, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2380);