Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22575442 |
| Fitting | C22×Q8×C269 ⋊ C2 |
| 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 | #46811270, #46811286, #46811288, … |
| maximal normal subgroup of | #46811270, #46811286, #46811288, … |
| maximal quotient of | C2×#31770470, C2×#31770495, C2×#31770506, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1067);