Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763867 |
| Sylow | C17 ⋊ C2×#504 |
368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17960769, #17960770, #17960774, … |
| maximal normal subgroup of | #17960769, #17960770, #17960774, … |
| maximal quotient of | C2×#14544993, C4×#11763867, C2×#14545014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21474);