Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C32×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2258 |
106 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,d^2=e,e^2=f,f^2=g,c^b=cg,h^c=h^782576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176081, #34176083, #34208831, … |
| maximal normal subgroup of | #34176081, #34176083, #34208831, … |
| maximal quotient of | #34208447, #34208448, #34208464, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6803);