Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #471×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3067 |
452 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|b^2=e,d^2=g,e^2=g,f^2=g,b^a=be,c^a=cf,e^a=eg,f^a=fg,f^c=fg,h^d=h^78656 conjugacy classes — view the full character table.
| maximal subgroup of | #3067×D79, C2×#23773115, #35155687, … |
| maximal normal subgroup of | #3067×D79, C2×#23773115, #35155687, … |
| maximal quotient of | #34270506, #34270534, #34270577, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14225);