Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #436×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2965 |
412 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cg,h^b=h^78,h^d=h^781148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34198118, #34198128, #34198163, … |
| maximal normal subgroup of | #34198118, #34198128, #34198163, … |
| maximal quotient of | #34286476, #34286487, #34286612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13473);