Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#131×D79 |
| Fitting | C2×#131×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203712, #1757×D79, #1764×D79, … |
| maximal normal subgroup of | #34203712, #1757×D79, #1764×D79, … |
| maximal quotient of | C2×#405×D79, C4×#131×D79, C2×#131×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19213);