Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C2×#95×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2353 |
588 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=f,c^2=ef,b^a=be,c^a=cf,d^b=de,h^b=h^781610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34181824, #34181829, #34255986, … |
| maximal normal subgroup of | #34181824, #34181829, #34255986, … |
| maximal quotient of | #34209700, #34209724, #34209732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7446);