Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099291 |
| Sylow | C79 ⋊ C2×#557 |
1048 conjugacy classes of subgroups.
1610 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34179925, #34179928, #34180005, … |
| maximal normal subgroup of | #34179925, #34179928, #34180005, … |
| maximal quotient of | C2×C4⋊C4×Dic158, C2×#23766320, C2×#23766353, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 18082);