Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#95×C79 ⋊ C2 |
| Sylow | C79 ⋊ #2325 |
696 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=g,b^2=g,c^2=f,b^a=be,c^a=cf,d^a=de,h^a=h^78,c^b=ce1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34182316, #34182320, #34182337, … |
| maximal normal subgroup of | #34182316, #34182320, #34182337, … |
| maximal quotient of | #34209526, #34209570, #34209617, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7213);