Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#11763742 |
| Sylow | C17 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17949393, #17949405, #17949424, … |
| maximal normal subgroup of | #17949393, #17949405, #17949424, … |
| maximal quotient of | C2×#14543892, C4×#11763742, C2×#14543898, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20932);