Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579184 |
| Fitting | C4×Q16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#135 |
500 conjugacy classes of subgroups.
1148 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34198008, #34198013, #34198034, … |
| maximal normal subgroup of | #34198008, #34198013, #34198034, … |
| maximal quotient of | C8×#14579184, #34257799, #34258018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13282);