Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#10587615 |
| Fitting | C22×C42×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16929011, #16929021, C4×#11762998, … |
| maximal normal subgroup of | #16929011, #16929021, C4×#11762998, … |
| maximal quotient of | C4×#11762688, C4×#11762700, C4×#11762682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 7032);