Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#14524137 |
| Sylow | C269 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
1112 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825723, #46825728, C2×#31771448, … |
| maximal normal subgroup of | #46825723, #46825728, C2×#31771448, … |
| maximal quotient of | C2×#31771448, C2×#31771450, #46826116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1516);