Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C79 ⋊ #2523 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,79|a^2=eg,c^2=e,d^2=ef,b^a=be,c^a=cf,d^a=de,c^b=cg,h^c=h^781598 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #2523×D79, C2×#23768127, #34457300, … |
| maximal normal subgroup of | #2523×D79, C2×#23768127, #34457300, … |
| maximal quotient of | #34210374, #34210380, #34211612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 9237);