Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#19098393 |
| Sylow | C79 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
2540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175971, #34175972, #34175973, … |
| maximal normal subgroup of | #34175971, #34175972, #34175973, … |
| maximal quotient of | C2×#23761472, C2×#23761474, #34199854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6302);