Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763820 |
| unambiguous semidirect product | D17⋊#428 |
| Fitting | C2×M16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | #17957220, #17957221, #17957229, … |
| maximal normal subgroup of | #17957220, #17957221, #17957229, … |
| maximal quotient of | C2×#14544335, #17966316, C2×#14544336, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21162);