Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | D17×#427 |
| Fitting | C17×#427 ⋊ C2 |
| Sylow | C17 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1382, #16949219, D17×#1384, … |
| maximal normal subgroup of | D17×#1382, #16949219, D17×#1384, … |
| maximal quotient of | D17×#1564, D17×#1568, #17003333, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13086);