Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #417×D79 |
| Fitting | #417×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
902 conjugacy classes — view the full character table.
| maximal subgroup of | #1792×D79, #1793×D79, #34287581, … |
| maximal normal subgroup of | #1792×D79, #1793×D79, #34287581, … |
| maximal quotient of | #1477×D79, #1489×D79, #34254726, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13018);