Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22575418 |
| Sylow | C269 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
2720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46809207, #46809227, #46810680, … |
| maximal normal subgroup of | #46809207, #46809227, #46810680, … |
| maximal quotient of | C2×#31770456, C2×C4⋊C4×Dic269, C4×#22575418, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1013);