Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×M32×D17 |
| Fitting | C2×C17×M32 ⋊ C2 |
| Sylow | C17 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1375, #16949172, D17×#1376, … |
| maximal normal subgroup of | D17×#1375, #16949172, D17×#1376, … |
| maximal quotient of | C2×D17×#346, C4×M32×D17, C2×M32×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17604);