Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19098360 |
| Sylow | C79 ⋊ C2×#355 |
260 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1118 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34176014, #34176015, #34176038, … |
| maximal normal subgroup of | #34176014, #34176015, #34176038, … |
| maximal quotient of | C2×#23761332, C2×#23761344, #34197543, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6188);