Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×#11763650 |
| Sylow | C17 ⋊ C2×#322 |
248 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17948489, #17948493, #17948635, … |
| maximal normal subgroup of | #17948489, #17948493, #17948635, … |
| maximal quotient of | C4×#11763650, C2×#14543606, #17951685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19703);