Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×C79⋊#95 |
| Sylow | C79 ⋊ C4×#95 |
752 conjugacy classes of subgroups.
2576 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34174800, #34174827, #34174829, … |
| maximal normal subgroup of | #34174800, #34174827, #34174829, … |
| maximal quotient of | #34176188, #34176189, C4×#19098317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 2730);