Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C8×D4×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2988 |
432 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,d^2=e,f^2=g,b^a=be,d^a=de,c^b=ce,h^d=h^781628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34257700, #34257704, #34257711, … |
| maximal normal subgroup of | #34257700, #34257704, #34257711, … |
| maximal quotient of | #34287055, #34287056, #34287154, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13617);