Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic886 |
| Sylow | C443 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14176 |
3556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247621, #43247622, #43247623, … |
| maximal normal subgroup of | #43247621, #43247622, #43247623, … |
| maximal quotient of | C22×Dic443⋊C4, C22×C4⋊Dic443, C2×C4×Dic886, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 186);