Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14579188 |
| Fitting | C4×SD16×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34257680, C8×#14579188, #34257702, … |
| maximal normal subgroup of | #34257680, C8×#14579188, #34257702, … |
| maximal quotient of | C8×#14579188, #34257853, #34257873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 13319);