Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C22⋊Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3056 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,h^b=h^781124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34325706, #34325710, #34325728, … |
| maximal normal subgroup of | #34325706, #34325710, #34325728, … |
| maximal quotient of | #34271044, #34271066, #34271088, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14136);