Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22575373 |
| Fitting | C2×C4⋊C4×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46810699, C4×#22575373, #46810709, … |
| maximal normal subgroup of | #46810699, C4×#22575373, #46810709, … |
| maximal quotient of | C2×#31770332, #46809283, #46809309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 535);