Finite Group Databasebeta

← Group #10877342

Character table — Group #10877342

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888888888888888824242424242424242424242424242424
order1222222234444666666622444444121212121212121212121212444444444466121212121212121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-111-1-111111111111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-111-1-111111111111111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-2-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-200200000022-2-200000000-2-222000000000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-222-2-2-2-2-2-2-2-22222200-2000000222200000000-2-2-2-2000000000000000000000000
χ19222222222-2-2-2-22222222-2-22222-2-22222-2-2-2-2-2-2-2-2200-2000000-2-2220000000022-2-2000000000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2002000000-2-2-2-2000000002222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111110000000000000000
χ2322222222-12222-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-222-222-2-2-2-2-1-111-1-1-1-11111-1-111-1-1-1-111110000000000000000
χ2422222222-12222-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-2-2-2-2-2-22222-1-1111111-1-1-1-1-1-1111111-1-1-1-10000000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-2-2221111-1-1-1-1-1-1-1-11111111111110000000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-111112222-2-222-2-211-1-1-1-1-1-1111111-1-11111-1-1-1-10000000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-111112-2-2222-2-22211-1-11111-1-1-1-111-1-1-1-1-1-111110000000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2002000000-1-111−i3−i3i3i3−i3−i3i3i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2002000000-1-111i3i3−i3−i3i3i3−i3−i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1200-2000000-1-1-1-1−i3−i3i3i3i3i3−i3−i31111−i3−i3i3i3i3i3−i3−i30000000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-1200-2000000-1-1-1-1i3i3−i3−i3−i3−i3i3i31111i3i3−i3−i3−i3−i3i3i30000000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-111111111200-200000011-1-1−i3−i3i3i3−i3−i3i3i3-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-111111111200-200000011-1-1i3i3−i3−i3i3i3−i3−i3-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-20020000001111−i3−i3i3i3i3i3−i3−i3-1-1-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-20020000001111i3i3−i3−i3−i3−i3i3i3-1-1-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ37222-22-2-2-2222-2-22-22-2-22-22-2002-200000022-2-2000002-202-200002-2002-22-200002-2002-22-200000000000000000000
χ38222-22-2-2-2222-2-22-22-2-22-22-2002-200000022-2-200000-220-2200002-200-22-2200002-200-22-2200000000000000000000
χ39222-22-2-2-2222-2-22-22-2-22-2-2200-2200000022-2-2000002-20-220000-22002-22-20000-2200-22-2200000000000000000000
χ40222-22-2-2-2222-2-22-22-2-22-2-2200-2200000022-2-200000-2202-20000-2200-22-220000-22002-22-200000000000000000000
χ41222-22-2-2-22-2-2222-22-2-22-22-200-22000000-2-22200000000002i−2i2i−2i2-20000002i−2i2i−2i-220000002i−2i2i−2i0000000000000000
χ42222-22-2-2-22-2-2222-22-2-22-22-200-22000000-2-2220000000000−2i2i−2i2i2-2000000−2i2i−2i2i-22000000−2i2i−2i2i0000000000000000
χ43222-22-2-2-22-2-2222-22-2-22-2-22002-2000000-2-22200000000002i−2i−2i2i-22000000−2i2i−2i2i2-20000002i−2i2i−2i0000000000000000
χ44222-22-2-2-22-2-2222-22-2-22-2-22002-2000000-2-2220000000000−2i2i2i−2i-220000002i−2i2i−2i2-2000000−2i2i−2i2i0000000000000000
χ45222-22-2-2-2-122-2-2-11-111-112-2002-20033−3−3-1-11133−3−302-202-20000-113−3-11-113−3−33-113−3-11-113−3−330000000000000000
χ46222-22-2-2-2-122-2-2-11-111-112-2002-20033−3−3-1-11133−3−30-220-220000-113−31-11-1−333−3-113−31-11-1−333−30000000000000000
χ47222-22-2-2-2-122-2-2-11-111-112-2002-200−3−333-1-111−3−33302-202-20000-11−33-11-11−333−3-11−33-11-11−333−30000000000000000
χ48222-22-2-2-2-122-2-2-11-111-112-2002-200−3−333-1-111−3−3330-220-220000-11−331-11-13−3−33-11−331-11-13−3−330000000000000000
χ49222-22-2-2-2-122-2-2-11-111-11-2200-220033−3−3-1-11133−3−302-20-2200001-1−33-11-113−3−331-1−331-11-1−333−30000000000000000
χ50222-22-2-2-2-122-2-2-11-111-11-2200-220033−3−3-1-11133−3−30-2202-200001-1−331-11-1−333−31-1−33-11-113−3−330000000000000000
χ51222-22-2-2-2-122-2-2-11-111-11-2200-2200−3−333-1-111−3−33302-20-2200001-13−3-11-11−333−31-13−31-11-13−3−330000000000000000
χ52222-22-2-2-2-122-2-2-11-111-11-2200-2200−3−333-1-111−3−3330-2202-200001-13−31-11-13−3−331-13−3-11-11−333−30000000000000000
χ53222-22-2-2-2-1-2-222-11-111-112-200-220033−3−311-1-1−3−3330000002i−2i2i−2i-11−33−i3i3i3−i3−ii−ii1-13−3−i3i3i3−i3−ii−ii0000000000000000
χ54222-22-2-2-2-1-2-222-11-111-112-200-220033−3−311-1-1−3−333000000−2i2i−2i2i-11−33i3−i3−i3i3i−ii−i1-13−3i3−i3−i3i3i−ii−i0000000000000000
χ55222-22-2-2-2-1-2-222-11-111-112-200-2200−3−33311-1-133−3−30000002i−2i2i−2i-113−3i3−i3−i3i3−ii−ii1-1−33i3−i3−i3i3−ii−ii0000000000000000
χ56222-22-2-2-2-1-2-222-11-111-112-200-2200−3−33311-1-133−3−3000000−2i2i−2i2i-113−3−i3i3i3−i3i−ii−i1-1−33−i3i3i3−i3i−ii−i0000000000000000
χ57222-22-2-2-2-1-2-222-11-111-11-22002-20033−3−311-1-1−3−3330000002i−2i−2i2i1-13−3i3−i3−i3i3i−ii−i-11−33−i3i3i3−i3−ii−ii0000000000000000
χ58222-22-2-2-2-1-2-222-11-111-11-22002-20033−3−311-1-1−3−333000000−2i2i2i−2i1-13−3−i3i3i3−i3−ii−ii-11−33i3−i3−i3i3i−ii−i0000000000000000
χ59222-22-2-2-2-1-2-222-11-111-11-22002-200−3−33311-1-133−3−30000002i−2i−2i2i1-1−33−i3i3i3−i3i−ii−i-113−3i3−i3−i3i3−ii−ii0000000000000000
χ60222-22-2-2-2-1-2-222-11-111-11-22002-200−3−33311-1-133−3−3000000−2i2i2i−2i1-1−33i3−i3−i3i3−ii−ii-113−3−i3i3i3−i3i−ii−i0000000000000000
χ612-2-2222-2-222-22-2-2-2-22-222002-2002-22-22-22-22-22-22-20000000000000000000000000000000000002i−2i002i−2i00000000
χ622-2-2222-2-222-22-2-2-2-22-222002-2002-22-22-22-22-22-22-2000000000000000000000000000000000000−2i2i00−2i2i00000000
χ632-2-2222-2-222-22-2-2-2-22-22200-2200-22-22-222-22-2-22-220000000000000000000000000000000000002i−2i00−2i2i00000000
χ642-2-2222-2-222-22-2-2-2-22-22200-2200-22-22-222-22-2-22-22000000000000000000000000000000000000−2i2i002i−2i00000000
χ652-2-2222-2-22-22-22-2-2-22-222002-200-222-22-2-22-22-22-2200000000000000000000000000000000002i−2i002i−2i0000000000
χ662-2-2222-2-22-22-22-2-2-22-222002-200-222-22-2-22-22-22-220000000000000000000000000000000000−2i2i00−2i2i0000000000
χ672-2-2222-2-22-22-22-2-2-22-22200-22002-2-22-22-22-222-22-200000000000000000000000000000000002i−2i00−2i2i0000000000
χ682-2-2222-2-22-22-22-2-2-22-22200-22002-2-22-22-22-222-22-20000000000000000000000000000000000−2i2i002i−2i0000000000
χ6944-44-4-4-44400004-4-444-4-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ7044-44-4-4-44400004-4-444-4-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ7144-4-4-444-44000044-4-4-4-440000000000000000000000000000000000000000000000000000000000000000000022−22
χ7244-4-4-444-44000044-4-4-4-4400000000000000000000000000000000000000000000000000000000000000000000−2222
χ734-444-4-44-440000-4444-4-4-40000000000000000000000000000000000000000000000000000000000000022−22000000
χ744-444-4-44-440000-4444-4-4-400000000000000000000000000000000000000000000000000000000000000−2222000000
χ754-44-4-44-4440000-4-44-44-44000000000000000000000000000000000000000000000000000000000000000022−220000
χ764-44-4-44-4440000-4-44-44-440000000000000000000000000000000000000000000000000000000000000000−22220000
χ774-4-4444-4-4-24-44-4222-22-2-2004-4004-4-22-22-22-22-22-2200000000000000000000000000000000000000000000000000
χ784-4-4444-4-4-24-44-4222-22-2-200-4400-442-22-2-22-222-22-200000000000000000000000000000000000000000000000000
χ794-4-4444-4-4-2-44-44222-22-2-2004-400-44-22-222-22-22-22-200000000000000000000000000000000000000000000000000
χ804-4-4444-4-4-2-44-44222-22-2-200-44004-42-22-22-22-2-22-2200000000000000000000000000000000000000000000000000
χ814-4-4-44-44444-4-44-44-4-444-40000000000004-4-44000000000000000000000000000000000000000000000000000000
χ824-4-4-44-4444-444-4-44-4-444-4000000000000-444-4000000000000000000000000000000000000000000000000000000
χ834-4-4-44-444-24-4-442-222-2-220000000023−23−2323-222-223−23−232300000000000000000000000000000000000000000000000000
χ844-4-4-44-444-24-4-442-222-2-2200000000−232323−23-222-2−232323−2300000000000000000000000000000000000000000000000000
χ854-4-4-44-444-2-444-42-222-2-220000000023−23−23232-2-22−232323−2300000000000000000000000000000000000000000000000000
χ864-4-4-44-444-2-444-42-222-2-2200000000−232323−232-2-2223−23−232300000000000000000000000000000000000000000000000000
χ8788-88-8-8-88-40000-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-888-8-40000-4-44444-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-888-8-88-8-400004-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-88-88-4000044-44-44-40000000000000000000000000000000000000000000000000000000000000000000000

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