Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C79 ⋊ #2285 |
656 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,c^2=f,d^2=e,b^a=be,c^a=cf,h^a=h^782552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34177808, #34177809, #34177820, … |
| maximal normal subgroup of | #34177808, #34177809, #34177820, … |
| maximal quotient of | #34209380, #34209385, C4×#19098423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6917);