Finite Group Databasebeta

← Group #10944216

Character table — Group #10944216

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444444888888888812121212121212121212121212121212161616161616161616161616242424244848
order12222222223446662244444444466666612121212661212121212121212222244444444444444441212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1
χ911111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-11-111-1-111-1-111-1-11-1
χ1011111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-11-1-111-1-111-1-111-11
χ1111111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-111-1-111-1-1-1-111-11
χ1211111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-11-1-1111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-111-1-1-11111-1-111-1-1-11
χ172222222222-122-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000000
χ182222222222-122-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000000
χ192222222222-122-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-1111111-1-111000000000000000022-2-2-1-1-1-11111000000
χ202222222222-122-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-1111111-1-1110000000000000000-2-2221111-1-1-1-1000000
χ212222222222-1-2-2-1-1-12222-2-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-111111100000000000000002-22-2-1-111-1-111000000
χ222222222222-1-2-2-1-1-12222-2-2-2-2-2-2-2-1-1-1-1-1-11111-1-1-1-11111110000000000000000-22-2211-1-111-1-1000000
χ232222222222-1-2-2-1-1-1-2-2-2-222-2-2-222-1-1-1-1-1-111111111-1-111-1-100000000000000002-2-22-1-11111-1-1000000
χ242222222222-1-2-2-1-1-1-2-2-2-222-2-2-222-1-1-1-1-1-111111111-1-111-1-10000000000000000-222-211-1-1-1-111000000
χ2522222-2-22-2-22222220000002-2-2002-2-2-22-222-2-20000002-20000220000-2-2-2-20022000000000000000000
χ2622222-2-22-2-22222220000002-2-2002-2-2-22-222-2-20000002-20000-2-20000222200-2-2000000000000000000
χ2722222-2-22-2-22-2-2222000000-222002-2-2-22-2-2-222000000-220000220000-2-22200-2-2000000000000000000
χ2822222-2-22-2-22-2-2222000000-222002-2-2-22-2-2-222000000-220000-2-2000022-2-20022000000000000000000
χ292222-22-2-22-2222222000000-22-200-22-2-2-2222-2-2000000-22002200-2-2-2-200002200000000000000000000
χ302222-22-2-22-2222222000000-22-200-22-2-2-2222-2-2000000-2200-2-20022220000-2-200000000000000000000
χ312222-22-2-22-22-2-22220000002-2200-22-2-2-22-2-2220000002-2002200-2-2220000-2-200000000000000000000
χ322222-22-2-22-22-2-22220000002-2200-22-2-2-22-2-2220000002-200-2-20022-2-200002200000000000000000000
χ332222-2-22-2-2222222222-2-2-2-2-2-2222-2-222-2-2222222-2-2-2-2-2-2220000000000000000000000000000000000
χ342222-2-22-2-22222222-2-22222-2-22-2-2-2-222-2-22222-2-22222-2-2-2-20000000000000000000000000000000000
χ352222-2-22-2-222-2-222222-2-22222-2-2-2-2-222-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000000000
χ362222-2-22-2-222-2-2222-2-222-2-222-222-2-222-2-2-2-2-2-2-2-222-2-222220000000000000000000000000000000000
χ372222-2-22-2-22-122-1-1-122-2-2-2-2-2-222211-1-111-1-1-1-1-1-1111111-1-1000000000000000000003−33−33−33−3000000
χ382222-2-22-2-22-122-1-1-122-2-2-2-2-2-222211-1-111-1-1-1-1-1-1111111-1-100000000000000000000−33−33−33−33000000
χ392222-2-22-2-22-122-1-1-1-2-22222-2-22-2-211-1-111-1-1-1-111-1-1-1-11111000000000000000000003−33−3−33−33000000
χ402222-2-22-2-22-122-1-1-1-2-22222-2-22-2-211-1-111-1-1-1-111-1-1-1-1111100000000000000000000−33−333−33−3000000
χ412222-2-22-2-22-1-2-2-1-1-122-2-22222-2-2-211-1-1111111-1-111-1-1-1-111000000000000000000003−3−333−3−33000000
χ422222-2-22-2-22-1-2-2-1-1-122-2-22222-2-2-211-1-1111111-1-111-1-1-1-11100000000000000000000−333−3−333−3000000
χ432222-2-22-2-22-1-2-2-1-1-1-2-222-2-222-22211-1-111111111-1-111-1-1-1-1000000000000000000003−3−33−333−3000000
χ442222-2-22-2-22-1-2-2-1-1-1-2-222-2-222-22211-1-111111111-1-111-1-1-1-100000000000000000000−333−33−3−33000000
χ4522-2-222-2-2-222002-2-22-22-20000000222-2-2-200002-22-20000000000002i−2i002i−2i2i−2i2i−2i000000000000000000
χ4622-2-222-2-2-222002-2-22-22-20000000222-2-2-200002-22-2000000000000−2i2i00−2i2i−2i2i−2i2i000000000000000000
χ4722-2-222-2-2-222002-2-2-22-220000000222-2-2-20000-22-220000000000002i−2i00−2i2i2i−2i−2i2i000000000000000000
χ4822-2-222-2-2-222002-2-2-22-220000000222-2-2-20000-22-22000000000000−2i2i002i−2i−2i2i2i−2i000000000000000000
χ4922-2-22-22-22-22002-2-200002i−2i0002i−2i2-2-22-22000000002i−2i002i−2i2-2002-200002i−2i00−2i2i000000000000000000
χ5022-2-22-22-22-22002-2-200002i−2i0002i−2i2-2-22-22000000002i−2i002i−2i-2200-220000−2i2i002i−2i000000000000000000
χ5122-2-22-22-22-22002-2-20000−2i2i000−2i2i2-2-22-2200000000−2i2i00−2i2i2-2002-20000−2i2i002i−2i000000000000000000
χ5222-2-22-22-22-22002-2-20000−2i2i000−2i2i2-2-22-2200000000−2i2i00−2i2i-2200-2200002i−2i00−2i2i000000000000000000
χ5322-2-2-2222-2-22002-2-200002i−2i000−2i2i-22-222-2000000002i−2i00−2i2i002-2002i−2i2-200−2i2i00000000000000000000
χ5422-2-2-2222-2-22002-2-200002i−2i000−2i2i-22-222-2000000002i−2i00−2i2i00-2200−2i2i-22002i−2i00000000000000000000
χ5522-2-2-2222-2-22002-2-20000−2i2i0002i−2i-22-222-200000000−2i2i002i−2i002-200−2i2i2-2002i−2i00000000000000000000
χ5622-2-2-2222-2-22002-2-20000−2i2i0002i−2i-22-222-200000000−2i2i002i−2i00-22002i−2i-2200−2i2i00000000000000000000
χ5722-2-2-2-2-22222002-2-22-2-220000000-2-22-22200002-2-220000002-2-22-22002-2000000000000000000000000
χ5822-2-2-2-2-22222002-2-22-2-220000000-2-22-22200002-2-22000000-222-22-200-22000000000000000000000000
χ5922-2-2-2-2-22222002-2-2-222-20000000-2-22-2220000-222-20000002-22-2-2200-22000000000000000000000000
χ6022-2-2-2-2-22222002-2-2-222-20000000-2-22-2220000-222-2000000-22-222-2002-2000000000000000000000000
χ6144444-4-44-4-4-244-2-2-20000004-4-400-2222-22-2-222000000-22000000000000000000000000000000000000
χ6244444-4-44-4-4-2-4-4-2-2-2000000-44400-2222-2222-2-20000002-2000000000000000000000000000000000000
χ634444-44-4-44-4-244-2-2-2000000-44-4002-2222-2-2-2220000002-2000000000000000000000000000000000000
χ644444-44-4-44-4-2-4-4-2-2-20000004-44002-2222-222-2-2000000-22000000000000000000000000000000000000
χ6544-4-444-4-4-44-200-2224-44-40000000-2-2-22220000-22-220000000000000000000000000000000000000000
χ6644-4-444-4-4-44-200-222-44-440000000-2-2-222200002-22-20000000000000000000000000000000000000000
χ6744-4-44-44-44-4-200-22200004i−4i0004i−4i-222-22-200000000−2i2i00−2i2i0000000000000000000000000000000000
χ6844-4-44-44-44-4-200-2220000−4i4i000−4i4i-222-22-2000000002i−2i002i−2i0000000000000000000000000000000000
χ6944-4-4-4444-4-4-200-22200004i−4i000−4i4i2-22-2-2200000000−2i2i002i−2i0000000000000000000000000000000000
χ7044-4-4-4444-4-4-200-2220000−4i4i0004i−4i2-22-2-22000000002i−2i00−2i2i0000000000000000000000000000000000
χ7144-4-4-4-4-4444-200-2224-4-44000000022-22-2-20000-222-20000000000000000000000000000000000000000
χ7244-4-4-4-4-4444-200-222-444-4000000022-22-2-200002-2-220000000000000000000000000000000000000000
χ734-4-4400000044-4-4-44000000000000000004-400000000000000000000000000000000000000002-22-200
χ744-4-4400000044-4-4-44000000000000000004-40000000000000000000000000000000000000000-22-2200
χ754-4-440000004-44-4-4400000000000000000-4400000000000000000000000000000000000000002-2-2200
χ764-4-440000004-44-4-4400000000000000000-440000000000000000000000000000000000000000-222-200
χ778-88-8000000800-88-800000000000000000000000000000000000000000000000000000000000000000
χ788-88-8000000-4004-44000000000000000000043−4300000000000000000000000000000000000000000000
χ798-88-8000000-4004-440000000000000000000−434300000000000000000000000000000000000000000000
χ808-8-88000000-48-844-400000000000000000-440000000000000000000000000000000000000000000000
χ818-8-88000000-4-8844-4000000000000000004-40000000000000000000000000000000000000000000000

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