Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22⋊C4×Dic158 |
| Sylow | C79 ⋊ Q8×C22⋊C4 |
820 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34184708, #34184712, #34184736, … |
| maximal normal subgroup of | #34184708, #34184712, #34184736, … |
| maximal quotient of | C22⋊C4×C4⋊Dic79, C22⋊C4×Dic79⋊C4, #95×Dic158, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7345);