Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | Q16×Dic158 |
| Sylow | C79 ⋊ Q8×Q16 |
336 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 336 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 | #34201958, #34201962, #34201986, … |
| maximal normal subgroup of | #34201958, #34201962, #34201986, … |
| maximal quotient of | #103×Dic158, Q16×Dic79⋊C4, Q16×C4⋊Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17394);