Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,c^2=ef,f^2=g,b^a=be,d^a=dg,d^c=dg,h^c=h^781142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182601, #34182605, #34182615, … |
| maximal normal subgroup of | #34182601, #34182605, #34182615, … |
| maximal quotient of | #34286258, #34286264, #34286915, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13461);