Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#19098478 |
| Fitting | C22×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#394 |
1252 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34210059, C4×#19098478, #34213574, … |
| maximal normal subgroup of | #34210059, C4×#19098478, #34213574, … |
| maximal quotient of | C2×#23761639, C2×#23761643, C2×#23761644, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7714);