Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098492 |
| Fitting | C2×#95×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#397 |
820 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34210086, C4×#19098492, #34213624, … |
| maximal normal subgroup of | #34210086, C4×#19098492, #34213624, … |
| maximal quotient of | C2×#23761644, C2×#23761648, C2×#23761658, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7738);