Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | D4×#63242 |
| Sylow | C17 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17951981, #17951989, #17951997, … |
| maximal normal subgroup of | #17951981, #17951989, #17951997, … |
| maximal quotient of | D8×#63242, SD16×#63242, Q16×#63242, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21213);