Finite Group Databasebeta

← Group #72310469

Character table — Group #72310469

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size1122244444488888888161616163232323232323232323232323232323232323264646464
order1222222222222222222244444444444444444444444488
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-111-1-1-1-1-1-111-11111-1-1-1-1iiii−i−i−i−ii−ii−i
χ61111111111111-1-111-1-1-1-1-1-111-11111-1-1-1-1−i−i−i−iiiii−ii−ii
χ71111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11111iiii−i−i−i−i−ii−ii
χ81111111111111-1-111-1-1-1-1-1-111-1-1-1-1-11111−i−i−i−iiiiii−ii−i
χ911111111111-1-111-1-111-1-1-1-11-11ii−i−iii−i−i11-1-111-1-1i−i−ii
χ1011111111111-1-111-1-111-1-1-1-11-11ii−i−iii−i−i-1-111-1-111−iii−i
χ1111111111111-1-111-1-111-1-1-1-11-11−i−iii−i−iii11-1-111-1-1−iii−i
χ1211111111111-1-111-1-111-1-1-1-11-11−i−iii−i−iii-1-111-1-111i−i−ii
χ1311111111111-1-1-1-1-1-1-1-111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111
χ1411111111111-1-1-1-1-1-1-1-111111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1
χ1511111111111-1-1-1-1-1-1-1-111111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1
χ1611111111111-1-1-1-1-1-1-1-111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111
χ172222222222222222222-222-2-2-2-200000000000000000000
χ182222222222222-2-222-2-22-2-22-2-2200000000000000000000
χ1922222222222-2-222-2-2222-2-22-22-200000000000000000000
χ2022222222222-2-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ214444444-4-4-4-400000000400-400000000000000000000000
χ224444444-4-4-4-400000000-400400000000000000000000000
χ2344444-4-444-4-4004-4004-4000000000000000000000000000
χ2444444-4-444-4-400-4400-44000000000000000000000000000
χ2544444-4-4-4-4444-4004-400000000000000000000000000000
χ2644444-4-4-4-444-4400-4400000000000000000000000000000
χ27444-4-400004-404000-40000000002i−2i2i−2i0000000000000000
χ28444-4-400004-404000-4000000000−2i2i−2i2i0000000000000000
χ29444-4-400004-40-400040000000002-2-220000000000000000
χ30444-4-400004-40-40004000000000-222-20000000000000000
χ31444-4-40000-444000-4000000000000002i−2i2i−2i000000000000
χ32444-4-40000-444000-400000000000000−2i2i−2i2i000000000000
χ33444-4-40000-44-40004000000000000002-2-22000000000000
χ34444-4-40000-44-4000400000000000000-222-2000000000000
χ3544-44-4004-4000004000-40000000000000002i−2i002i−2i000000
χ3644-44-4004-4000004000-4000000000000000−2i2i00−2i2i000000
χ3744-44-4004-400000-400040000000000000002-200-22000000
χ3844-44-4004-400000-40004000000000000000-22002-2000000
χ3944-44-400-4400004000-40000000000000000002i−2i002i−2i0000
χ4044-44-400-4400004000-4000000000000000000−2i2i00−2i2i0000
χ4144-44-400-440000-400040000000000000000002-200-220000
χ4244-44-400-440000-40004000000000000000000-22002-20000
χ4388-8-880000000000000004-4000000000000000000000000
χ4488-8-88000000000000000-44000000000000000000000000
χ4516-160008-8000000000000000000000000000000000000000
χ4616-16000-88000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).