Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099377 |
| Fitting | C2×#135×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#578 |
1408 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34203960, #34203968, #34203997, … |
| maximal normal subgroup of | #34203960, #34203968, #34203997, … |
| maximal quotient of | C2×#23771929, C2×#23771997, C2×#23772236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19274);