Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#41×Dic17 |
| Sylow | C17 ⋊ C2×C4×#41 |
1728 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939731, #16939734, #16939786, … |
| maximal normal subgroup of | #16939731, #16939734, #16939786, … |
| maximal quotient of | C2×#117×Dic17, C2×C4×D4×Dic17, C2×C4×Q8×Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17692);