Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19098961 |
| Sylow | C79 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
2540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34183531, #34183533, #34187484, … |
| maximal normal subgroup of | #34183531, #34183533, #34187484, … |
| maximal quotient of | C2×#23763557, C2×#23764128, C2×#23764361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 15009);