Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#11762572 |
| Sylow | C17 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921467, #16921469, #16921485, … |
| maximal normal subgroup of | #16921467, #16921469, #16921485, … |
| maximal quotient of | C2×#14526619, #16923790, #16923800, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4224);