Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098703 |
| Fitting | C2×#103×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#448 |
792 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34293857, C4×#19098703, #34293931, … |
| maximal normal subgroup of | #34293857, C4×#19098703, #34293931, … |
| maximal quotient of | C2×#23762324, C2×#23762392, C2×#23762341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13699);