Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19099041 |
| Sylow | C79 ⋊ C2×#519 |
1488 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193591, #34193594, #34193636, … |
| maximal normal subgroup of | #34193591, #34193594, #34193636, … |
| maximal quotient of | C2×#23765757, C2×#23765765, C4×#19099041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17701);