Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #2983 |
356 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,b^2=e,c^2=e,f^2=g,b^a=be,c^a=cg,d^a=de,c^b=ce,h^b=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182309, #34182312, #34183340, … |
| maximal normal subgroup of | #34182309, #34182312, #34183340, … |
| maximal quotient of | #34287003, #34287004, #34287015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13594);