Finite Group DatabasebetaFinite Group Databasebeta| order | 8608 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16864412 |
| Sylow | C269 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
556 conjugacy classes — view the full character table.
| maximal subgroup of | #31771475, #31771481, #31771488, … |
| maximal normal subgroup of | #31771475, #31771481, #31771488, … |
| maximal quotient of | C2×#22575508, C4×#16864412, C2×#22575510, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8608, 232);