Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14579080 |
| Sylow | C79 ⋊ C4×#101 |
296 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 129 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175272, #34175273, #34175483, … |
| maximal normal subgroup of | #34175272, #34175273, #34175483, … |
| maximal quotient of | C4×#19098289, #34178783, #34178787, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4306);