Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#14524130 |
| Sylow | C269 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808719, #46808720, #46808725, … |
| maximal normal subgroup of | #46808719, #46808720, #46808725, … |
| maximal quotient of | C2×#31770356, C2×#31770358, #46809633, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 570);