Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C79 ⋊ #3458 |
996 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,c^b=cf,h^c=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34180109, #34180112, #34197210, … |
| maximal normal subgroup of | #34180109, #34180112, #34197210, … |
| maximal quotient of | #34446895, #34446898, #34447113, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17915);