Finite Group DatabasebetaFinite Group Databasebeta| order | 8608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C269 ⋊ #101 |
38 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,269|a^2=d,b^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^268,d^b=de1351 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31770401, #31770402, #31770403, … |
| maximal normal subgroup of | #31770401, #31770402, #31770403, … |
| maximal quotient of | #31770331, #31770347, #31770351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8608, 65);