Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575507 |
| Fitting | C2×C8×C269 ⋊ C4 |
| Sylow | C269 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4304 |
1112 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825925, #46825931 |
| maximal normal subgroup of | #46825925, #46825931 |
| maximal quotient of | C2×#31771446, #46826079, C2×#14524137⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1506);