Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19098860 |
| Fitting | C2×#125×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#478 |
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 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.
1130 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34184615, #34184621, C4×#19098860, … |
| maximal normal subgroup of | #34184615, #34184621, C4×#19098860, … |
| maximal quotient of | C2×#23763407, C2×#23763646, C2×#23763660, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14264);