Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#14579117 |
| Sylow | C79 ⋊ C4×#117 |
752 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34177919, #34177943, #34177983, … |
| maximal normal subgroup of | #34177919, #34177943, #34177983, … |
| maximal quotient of | C4×#19098408, C4×C22⋊C4×Dic79, C4×#19098414, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6848);