Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#19098338 |
| Sylow | C79 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34175957, #34175961, #346×Dic79, … |
| maximal normal subgroup of | #34175957, #34175961, #346×Dic79, … |
| maximal quotient of | C2×#23761316, C2×#23761319, #34197288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 6099);