Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #3084 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=eg,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^78,d^b=dg,f^c=fg1358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34345809, #34345813, #34345824, … |
| maximal normal subgroup of | #34345809, #34345813, #34345824, … |
| maximal quotient of | #34287796, #34289273, #34289311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14372);