Finite Group DatabasebetaFinite Group Databasebeta| order | 10112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14579107 |
| Sylow | C79 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34205344, #34205345, #34205347, … |
| maximal normal subgroup of | #34205344, #34205345, #34205347, … |
| maximal quotient of | C22×#19098366, C22×#19098367, C22×#19098388, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10112, 17622);