Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic538 |
| Sylow | C269 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808863, #46808865, C8×#16864390, … |
| maximal normal subgroup of | #46808863, #46808865, C8×#16864390, … |
| maximal quotient of | C8×C4⋊Dic269, C8×#16864381, #46811441, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 674);