Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22575440 |
| Sylow | C269 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46811271, #46811273, #46811285, … |
| maximal normal subgroup of | #46811271, #46811273, #46811285, … |
| maximal quotient of | C2×#31770470, C2×#31770499, C2×#31770508, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1065);