Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic272 |
| Sylow | C17 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
550 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16922204, #16922206, #16922216, … |
| maximal normal subgroup of | #16922204, #16922206, #16922216, … |
| maximal quotient of | C2×#14526966, C2×#14526984, C4×Dic272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6815);