Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #338×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2091 |
222 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,b^2=de,d^2=g,b^a=bd,c^a=ce,f^a=fg,c^b=cf,d^b=dg,e^b=eg,h^b=h^78,h^c=h^78884 conjugacy classes — view the full character table.
| maximal subgroup of | #34201595, #34201600, #34201606, … |
| maximal normal subgroup of | #34201595, #34201600, #34201606, … |
| maximal quotient of | #34193239, #34193246, #34193251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6027);