Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19098794 |
| Fitting | C2×C22⋊Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#465 |
564 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34187775, #34187781, #34187802, … |
| maximal normal subgroup of | #34187775, #34187781, #34187802, … |
| maximal quotient of | C2×#23762743, C2×#23762777, C2×#23762811, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 14072);