Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C79 ⋊ #1558 |
228 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=e,b^2=g,d^2=g,e^2=fg,b^a=bd,c^a=cg,d^a=df,h^a=h^78,d^b=dg,e^b=efg1118 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176001, #34176002, #34180661, … |
| maximal normal subgroup of | #34176001, #34176002, #34180661, … |
| maximal quotient of | #34176358, #34176397, #34176504, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 3236);