Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | Q16×D316 |
| Fitting | C4×Q16×C79 ⋊ C2 |
| Sylow | C79 ⋊ D4×Q16 |
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1127 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34201706, #34201710, #34201734, … |
| maximal normal subgroup of | #34201706, #34201710, #34201734, … |
| maximal quotient of | #34278461, #34278476, #34278491, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 16261);