Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19098521 |
| Sylow | C79 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193437, #34193439, #34193460, … |
| maximal normal subgroup of | #34193437, #34193439, #34193460, … |
| maximal quotient of | C2×M16×C79⋊C8, C2×#23761684, C2×#23761687, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 12925);