Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #464×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3285 |
482 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|b^2=g,d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,d^b=de,e^b=eg,h^c=h^78,e^d=eg,h^d=h^78776 conjugacy classes — view the full character table.
| maximal subgroup of | #3285×D79, C2×#23775136, #35163558, … |
| maximal normal subgroup of | #3285×D79, C2×#23775136, #35163558, … |
| maximal quotient of | #34278813, #34278823, #34278828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 16246);