Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098340 |
| Sylow | C79 ⋊ C2×#347 |
168 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 109 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 | #347×Dic79, C4×#19098340, #34203098, … |
| maximal normal subgroup of | #347×Dic79, C4×#19098340, #34203098, … |
| maximal quotient of | C2×#23761320, C2×#23761322, #34197269, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6111);