Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×#11763810 |
| Sylow | C17 ⋊ C22×C4⋊C8 |
640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#14543613, #17950399, #17950405, … |
| maximal normal subgroup of | C2×#14543613, #17950399, #17950405, … |
| maximal quotient of | C2×#14544326, C2×#14544329, #17966311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21143);