Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C79 ⋊ #1829 |
272 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=d,f^2=g,b^a=bd,c^a=ce,d^a=dg,h^a=h^78,f^b=fg,e^c=eg1355 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203884, #34203886, #34203889, … |
| maximal normal subgroup of | #34203884, #34203886, #34203889, … |
| maximal quotient of | #34181728, #34181734, #34181785, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4621);