Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763277 |
| Fitting | C2×C17×#117 ⋊ C2 |
| Sylow | C17 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939732, #16939787, #16939791, … |
| maximal normal subgroup of | #16939732, #16939787, #16939791, … |
| maximal quotient of | C2×#14531123, C2×#117×Dic17, C2×C4×#10587567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17689);