Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C8×Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2986 |
330 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,c^2=e,f^2=g,b^a=be,d^a=de,c^b=ceg,d^b=dg,h^c=h^78,h^d=h^781610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34259444, #34259447, #34259481, … |
| maximal normal subgroup of | #34259444, #34259447, #34259481, … |
| maximal quotient of | #34287027, #34287034, #34287321, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13610);