Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | #391×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2297 |
936 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=eg,d^2=f,b^a=be,c^a=cf,h^b=h^78,h^c=h^78,h^d=h^781148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176220, #34176280, #34176366, … |
| maximal normal subgroup of | #34176220, #34176280, #34176366, … |
| maximal quotient of | #34209383, #34209408, #34209415, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6999);