Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098818 |
| Fitting | C22×Q16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#470 |
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34205255, #34205306, #34207042, … |
| maximal normal subgroup of | #34205255, #34205306, #34207042, … |
| maximal quotient of | C2×#23762886, C2×#23762920, C2×#23762972, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14109);