Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×#117×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2311 |
880 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,d^2=e,b^a=be,c^a=cf,d^a=de,c^b=ce,h^c=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193598, #34193660, #34194666, … |
| maximal normal subgroup of | #34193598, #34193660, #34194666, … |
| maximal quotient of | #34209517, #34209564, #34209577, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7098);