Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #435×C79 ⋊ C2 |
| Sylow | C79 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,f^2=g,b^a=be,d^a=dg,d^c=dg,h^c=h^78,h^d=h^781142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4×M16×D79, C2×#23772133, #35152191, … |
| maximal normal subgroup of | D4×M16×D79, C2×#23772133, #35152191, … |
| maximal quotient of | #34259688, #34259696, #34259704, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13243);