Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19098379 |
| Sylow | C79 ⋊ C2×#362 |
216 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19098379, #362×Dic79, #34203546, … |
| maximal normal subgroup of | C4×#19098379, #362×Dic79, #34203546, … |
| maximal quotient of | C2×#23761370, #34198048, #34198279, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6254);