Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C79 ⋊ #3407 |
360 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,e^2=f,f^2=g,d^a=dg,h^a=h^78,c^b=cg1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203397, #34203399, #34204428, … |
| maximal normal subgroup of | #34203397, #34203399, #34204428, … |
| maximal quotient of | #34440910, #34440919, #34440947, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17613);