Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#63243 |
| Sylow | C17 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | #17954044, #17954046, #17954052, … |
| maximal normal subgroup of | #17954044, #17954046, #17954052, … |
| maximal quotient of | D8×#63243, #17967727, SD16×#63243, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21247);