Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099240 |
| Fitting | C2×C22⋊Q8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#551 |
1328 conjugacy classes of subgroups.
1142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34254542, #34304409, #34448146, … |
| maximal normal subgroup of | #34254542, #34304409, #34448146, … |
| maximal quotient of | C2×#23766246, C2×#23766247, C2×#23766258, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18008);