Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×#131×C79 ⋊ C2 |
| Sylow | C79 ⋊ #3573 |
1424 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,f^2=g,e^b=eg,d^c=dg,h^e=h^781628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203716, #34203718, #34203719, … |
| maximal normal subgroup of | #34203716, #34203718, #34203719, … |
| maximal quotient of | #35151687, #35151688, #35151689, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19221);