Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#11762566 |
| Sylow | C17 ⋊ C2×H(3,ℤ/4) |
404 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921455, #16921457, #16921461, … |
| maximal normal subgroup of | #16921455, #16921457, #16921461, … |
| maximal quotient of | C2×#14526612, #16923722, #16923725, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4211);