Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579181 |
| Fitting | C4×#41×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34257643, C8×#14579181, #34257671, … |
| maximal normal subgroup of | #34257643, C8×#14579181, #34257671, … |
| maximal quotient of | C8×#14579181, #34257796, #34257800, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13280);