Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #468×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3062 |
504 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,d^c=dg,h^c=h^78,h^d=h^78656 conjugacy classes — view the full character table.
| maximal subgroup of | #3062×D79, C2×#23773075, #35155522, … |
| maximal normal subgroup of | #3062×D79, C2×#23773075, #35155522, … |
| maximal quotient of | #34271748, #34271770, #34271792, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14185);