Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C79 ⋊ #2494 |
412 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=fg,b^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^78,c^b=cg1598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34360965, #34360969, #34361025, … |
| maximal normal subgroup of | #34360965, #34360969, #34361025, … |
| maximal quotient of | #34210209, #34210777, #34211118, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 8910);