Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11763806 |
| Fitting | C2×#41×C17 ⋊ C4 |
| Sylow | C17 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
124 conjugacy classes — view the full character table.
| maximal subgroup of | #17956854, #17956856, #17956871, … |
| maximal normal subgroup of | #17956854, #17956856, #17956871, … |
| maximal quotient of | C2×#14544084, C2×#14544087, C2×#14544079, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21138);