Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | #335×D79 |
| Fitting | #335×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#335 |
200 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1331×D79, #1332×D79, #34198011, … |
| maximal normal subgroup of | #1331×D79, #1332×D79, #34198011, … |
| maximal quotient of | #1277×D79, #34179453, #335×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 3252);