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 ⋊ #2924 |
402 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^78,d^c=dg,h^c=h^781142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34184580, #34184584, #34184594, … |
| maximal normal subgroup of | #34184580, #34184584, #34184594, … |
| maximal quotient of | #34285769, #34285834, #34286183, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13170);