Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11763738 |
| Sylow | C17 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | #17949418, #17949422, #17949427, … |
| maximal normal subgroup of | #17949418, #17949422, #17949427, … |
| maximal quotient of | C2×#14543816, C2×#14543817, #17960096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20865);