Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D4×Dic158 |
| Sylow | C79 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179950, #34179953, #34179996, … |
| maximal normal subgroup of | #34179950, #34179953, #34179996, … |
| maximal quotient of | C2×C22⋊C4×Dic158, C2×D4×Dic79⋊C4, C2×D4×C4⋊Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17984);