Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C16×D79 |
| Fitting | C4⋊C16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C4⋊C16 |
184 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 184 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.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4⋊C16×D79, #34197970, #1330×D79, … |
| maximal normal subgroup of | D4⋊C16×D79, #34197970, #1330×D79, … |
| maximal quotient of | #1367×D79, #1370×D79, #34199866, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6261);