Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#14579072 |
| Sylow | C79 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34174804, #34174833, #34174835, … |
| maximal normal subgroup of | #34174804, #34174833, #34174835, … |
| maximal quotient of | C4×#19098285, C8×#14579072, #34177629, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4195);