Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #428×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2911 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,d^2=g,e^2=g,b^a=be,e^a=eg,c^b=cg,h^d=h^78902 conjugacy classes — view the full character table.
| maximal subgroup of | #34289081, #34289083, #34289088, … |
| maximal normal subgroup of | #34289081, #34289083, #34289088, … |
| maximal quotient of | #34257250, #34257289, #34257301, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13097);