Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C79 ⋊ #1444 |
608 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=d,c^2=e,b^a=bd,c^a=ce,c^b=cf,h^c=h^781604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182314, #34182315, #34182328, … |
| maximal normal subgroup of | #34182314, #34182315, #34182328, … |
| maximal quotient of | #34176195, #34176196, #34196871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2773);