Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20296771 |
| Sylow | C443 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7088 |
3556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247473, C443⋊#338, #43247476, … |
| maximal normal subgroup of | #43247473, C443⋊#338, #43247476, … |
| maximal quotient of | C2×#28381797, C4×#20296771, C2×C22⋊(C443⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 151);