Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C443 ⋊ C2 |
| Sylow | C443 ⋊ #123 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7088 |
Polycyclic presentation:
2^5,443|c^2=d,b^a=bd,c^a=ce,f^a=f^442,f^c=f^4422224 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247908, #123×D443, C2×#28381870, … |
| maximal normal subgroup of | #43247908, #123×D443, C2×#28381870, … |
| maximal quotient of | #43247578, #43247592, #43247594, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 130);