Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | #450×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3009 |
752 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,d^c=dg,h^d=h^78773 conjugacy classes — view the full character table.
| maximal subgroup of | #3009×D79, C2×#23772672, #35154732, … |
| maximal normal subgroup of | #3009×D79, C2×#23772672, #35154732, … |
| maximal quotient of | #34261435, #34261441, #34261523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13782);