Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#20296772 |
| Fitting | C2×D4×C443 ⋊ C2 |
| Sylow | C443 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7088 |
2224 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247797, C4×#20296772, #43247826, … |
| maximal normal subgroup of | #43247797, C4×#20296772, #43247826, … |
| maximal quotient of | C2×#28381806, C2×#28381807, C2×#28381819, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 156);