Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C79 ⋊ #2322 |
632 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=g,c^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^78,c^b=ce,h^b=h^78,h^c=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203410, #34204246, #34294262, … |
| maximal normal subgroup of | #34203410, #34204246, #34294262, … |
| maximal quotient of | #34209514, #34209551, #34209566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7184);