Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×#14579156 |
| Fitting | C4×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#126 |
516 conjugacy classes of subgroups.
1616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34296481, C8×#14579156, #34296488, … |
| maximal normal subgroup of | #34296481, C8×#14579156, #34296488, … |
| maximal quotient of | C4×#19098455, C4×#19098452, C4×#19098453, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7063);