Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D17⋊#104 |
| unambiguous semidirect product | D17⋊(C2×#104) |
| Fitting | C2×#41×C17 ⋊ C4 |
| Sylow | C17 ⋊ C22×#104 |
856 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | #17956873, #17956874, #17956876, … |
| maximal normal subgroup of | #17956873, #17956874, #17956876, … |
| maximal quotient of | C2×#14544070, C2×#14544073, C2×#14544075, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21134);