Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C79 ⋊ #2319 |
540 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=e,d^2=f,b^a=be,c^a=cf,d^a=de,c^b=ce,h^d=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34291357, #34291359, #34291361, … |
| maximal normal subgroup of | #34291357, #34291359, #34291361, … |
| maximal quotient of | #34209533, #34209560, #34209574, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7147);