Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#19099151 |
| Fitting | C22×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#538 |
1336 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34180097, #34180101, #34254289, … |
| maximal normal subgroup of | #34180097, #34180101, #34254289, … |
| maximal quotient of | C2×#23765998, C2×#23766034, C2×#23766058, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17851);