Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#14579167 |
| Fitting | C23×C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#131 |
1504 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193680, #34193684, #34193702, … |
| maximal normal subgroup of | #34193680, #34193684, #34193702, … |
| maximal quotient of | C22×#19098517, C22×#19098518, C2×C4×#14579167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19214);