Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D17×#408 |
| Fitting | C17×#408 ⋊ C2 |
| Sylow | C17 ⋊ C2×#408 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1315, #16943394, #16943397, … |
| maximal normal subgroup of | D17×#1315, #16943394, #16943397, … |
| maximal quotient of | D17×#1468, D17×#1469, D17×#1470, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12947);