Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1772 |
| Sylow | C443 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14176 |
3550 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247520, #43247522, #43247532, … |
| maximal normal subgroup of | #43247520, #43247522, #43247532, … |
| maximal quotient of | C2×#28381811, C2×#28381820, C4×Dic1772, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 164);