Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C23×#11929608 |
| Sylow | C79 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34193496, #34193498, #34193504, … |
| maximal normal subgroup of | #34193496, #34193498, #34193504, … |
| maximal quotient of | C23×#14579072, C22×C4×#11929608, C23×C22⋊(C79⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 19212);