Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C79 ⋊ #2967 |
362 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=f,c^2=f,d^2=e,f^2=g,b^a=be,d^a=dg,h^a=h^78,c^b=cg,h^c=h^781136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34185484, #34185488, #34185491, … |
| maximal normal subgroup of | #34185484, #34185488, #34185491, … |
| maximal quotient of | #34286510, #34286528, #34286630, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13497);