Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#19098335 |
| Sylow | C79 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
1604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic79, C4×#19098335, #34193481, … |
| maximal normal subgroup of | #344×Dic79, C4×#19098335, #34193481, … |
| maximal quotient of | C2×#23761244, #34177899, #34177902, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 4253);