Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×#11761640 |
| Fitting | M16×C269 ⋊ C4 |
| Sylow | C269 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2152 |
710 conjugacy classes. The character table is too large to display.
| maximal quotient of | M16×#14524137, #46826083, #46826086, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1509);