Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19098615 |
| Fitting | C2×C4⋊C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#431 |
528 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34177726, #34177729, #34177747, … |
| maximal normal subgroup of | #34177726, #34177729, #34177747, … |
| maximal quotient of | C2×#23763144, C2×#23763157, C2×C4⋊C8×Dic79, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13125);