Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | Q8×#63216 |
| Sylow | C17 ⋊ Q8×C16 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#63216, #17960224, #17960230, … |
| maximal normal subgroup of | SD16×#63216, #17960224, #17960230, … |
| maximal quotient of | C4⋊C4×#63216, #17962076, #17962204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 20923);