Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D17×#518 |
| Fitting | C17×#518 ⋊ C2 |
| Sylow | C17 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1828, D17×#1829, D17×#1856, … |
| maximal normal subgroup of | D17×#1828, D17×#1829, D17×#1856, … |
| maximal quotient of | D17×#2273, D17×#2274, D17×#2275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17693);