Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#10587578 |
| Fitting | C4×C4⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16923850, #16923854, #16923898, … |
| maximal normal subgroup of | #16923850, #16923854, #16923898, … |
| maximal quotient of | C4×#11762654, C4×#11762656, C4×C4⋊C4×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6850);