Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
| direct product | C2×#11762642 |
| Fitting | C2×C17×C32 ⋊ C2 |
| Sylow | C17 ⋊ C2×M64 |
112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16922134, C4×#11762642, #16954500, … |
| maximal normal subgroup of | #16922134, C4×#11762642, #16954500, … |
| maximal quotient of | C2×#14526917, C4×#11762642, C2×#14526921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6801);