Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C42 |
No aliases for this group.
| Sylow | C79 ⋊ #1274 |
168 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=d,b^2=e,c^2=f,d^2=g,b^a=bc,e^a=ef,h^a=h^78,d^b=df1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175044, #34175045, #34175082, … |
| maximal normal subgroup of | #34175044, #34175045, #34175082, … |
| maximal quotient of | C79⋊#7014, #34174801, #34174803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2339);