Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #123×Dic79 |
| Sylow | C79 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #352×Dic79, #34204235, #458×Dic79, … |
| maximal normal subgroup of | #352×Dic79, #34204235, #458×Dic79, … |
| maximal quotient of | #386×Dic79, #388×Dic79, #385×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7033);