Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C79 ⋊ #2905 |
484 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,f^2=g,b^a=be,d^a=dg,c^b=cg,h^b=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34194311, #34194313, #34194314, … |
| maximal normal subgroup of | #34194311, #34194313, #34194314, … |
| maximal quotient of | #34257413, #34257417, #34257421, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13073);