Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#19098485 |
| Fitting | C22×C4⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#396 |
908 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19098485, #34210126, #34213910, … |
| maximal normal subgroup of | C4×#19098485, #34210126, #34213910, … |
| maximal quotient of | C2×#23761642, C2×#23761644, C2×#23761646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 7730);