Finite Group Databasebeta

← Group #10901334

Character table — Group #10901334

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order12222222223446664446666661212121224446612121212121212124444121212121212121222222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-11-1-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-11-1-111-11-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-111
χ911111111111-1-1111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11-11-111-1-111-1-111-1-11-11-11-1-111-1
χ1011111111111-1-1111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-111-11-11-111-1-11
χ1111111111111-1-1111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-11-11-111-11-1
χ1211111111111-1-1111-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-111-1-111-1-1111-11-11-1-11-11
χ1311111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1111-1-11-1-1-11
χ1411111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-111-1-1-111-1111-1
χ1511111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-11111-1-111-1-1-1-1-111-111-11
χ1611111111111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-11111-1-1-1-111111-1-11-1-11-1
χ172222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ182222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ192222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-11122-2-2-1-1-1-1111100000000000000
χ202222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-111-2-2221111-1-1-1-100000000000000
χ212222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-11111112-22-2-1-111-1-11100000000000000
χ222222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-2-1-1-1-1111111-22-2211-1-111-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-2221111-1-111-1-12-2-22-1-11111-1-100000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-2221111-1-111-1-1-222-211-1-1-1-11100000000000000
χ2522222-2-22-2-22222222-2-22-2-2-22-222-2-200000000002-200000000000000000020-2-2002000
χ2622222-2-22-2-22222222-2-22-2-2-22-222-2-200000000002-2000000000000000000-202200-2000
χ2722222-2-22-2-22-2-2222-2222-2-2-22-2-2-2220000000000-2200000000000000000020-2200-2000
χ2822222-2-22-2-22-2-2222-2222-2-2-22-2-2-2220000000000-22000000000000000000-202-2002000
χ292222-22-2-22-2222222-22-2-22-2-2-2222-2-20000000000-220000000000000000000200-2-20200
χ302222-22-2-22-2222222-22-2-22-2-2-2222-2-20000000000-220000000000000000000-200220-200
χ312222-22-2-22-22-2-22222-22-22-2-2-22-2-22200000000002-200000000000000000002002-20-200
χ322222-22-2-22-22-2-22222-22-22-2-2-22-2-22200000000002-20000000000000000000-200-220200
χ332222-2-22-2-22222222-2-22-2-222-2-222222-2-2222-2-2-2-2-2-22200000000000000000000000000
χ342222-2-22-2-22222222-2-22-2-222-2-22222-222-2-2-22222-2-2-2-200000000000000000000000000
χ352222-2-22-2-222-2-222222-2-2-222-2-2-2-2-2-22-22-222-2-22222-2-200000000000000000000000000
χ362222-2-22-2-222-2-222222-2-2-222-2-2-2-2-2-2-22-22-2-222-2-2222200000000000000000000000000
χ372222-2-22-2-22-122-1-1-1-2-2211-1-111-1-1-1-12-2-22-1-1111111-1-100003−33−33−33−300000000000000
χ382222-2-22-2-22-122-1-1-1-2-2211-1-111-1-1-1-12-2-22-1-1111111-1-10000−33−33−33−3300000000000000
χ392222-2-22-2-22-122-1-1-1-2-2211-1-111-1-1-1-1-222-211-1-1-1-1111100003−33−3−33−3300000000000000
χ402222-2-22-2-22-122-1-1-1-2-2211-1-111-1-1-1-1-222-211-1-1-1-111110000−33−333−33−300000000000000
χ412222-2-22-2-22-1-2-2-1-1-122-211-1-11111112-22-2-1-111-1-1-1-11100003−3−333−3−3300000000000000
χ422222-2-22-2-22-1-2-2-1-1-122-211-1-11111112-22-2-1-111-1-1-1-1110000−333−3−333−300000000000000
χ432222-2-22-2-22-1-2-2-1-1-122-211-1-1111111-22-2211-1-111-1-1-1-100003−3−33−333−300000000000000
χ442222-2-22-2-22-1-2-2-1-1-122-211-1-1111111-22-2211-1-111-1-1-1-10000−333−33−3−3300000000000000
χ4544444-4-44-4-4-244-2-2-24-4-4-2222-22-2-2220000000000-220000000000000000000000000000
χ4644444-4-44-4-4-2-4-4-2-2-2-444-2222-2222-2-200000000002-20000000000000000000000000000
χ474444-44-4-44-4-244-2-2-2-44-42-2222-2-2-22200000000002-20000000000000000000000000000
χ484444-44-4-44-4-2-4-4-2-2-24-442-2222-222-2-20000000000-220000000000000000000000000000
χ4944-4-4444-4-4-44004-4-4000444-4-4-400000000000000000000000000000000000000000000
χ5044-4-4444-4-4-4-200-222000-2-2-222200000000−2i32i3−2i32i300000000000000000000000000000000
χ5144-4-4444-4-4-4-200-222000-2-2-2222000000002i3−2i32i3−2i300000000000000000000000000000000
χ5244-4-44-4-4-4444004-4-40004-4-44-4400000000000000000000000000000000000000000000
χ5344-4-44-4-4-444-200-222000-222-22-200000000000023−230023−2300000000000000000000000000
χ5444-4-44-4-4-444-200-222000-222-22-2000000000000−232300−232300000000000000000000000000
χ5544-4-4-44-44-444004-4-4000-44-444-400000000000000000000000000000000000000000000
χ5644-4-4-44-44-44-200-2220002-22-2-2200000000000023−2300−232300000000000000000000000000
χ5744-4-4-44-44-44-200-2220002-22-2-22000000000000−23230023−2300000000000000000000000000
χ5844-4-4-4-4444-44004-4-4000-4-44-44400000000000000000000000000000000000000000000
χ5944-4-4-4-4444-4-200-22200022-22-2-200000000−2i32i32i3−2i300000000000000000000000000000000
χ6044-4-4-4-4444-4-200-22200022-22-2-2000000002i3−2i3−2i32i300000000000000000000000000000000
χ614-4-4400000044-4-4-440000000004-400000000000000000000000000002-22-20000000000
χ624-4-4400000044-4-4-440000000004-40000000000000000000000000000-22-220000000000
χ634-4-440000004-44-4-44000000000-4400000000000000000000000000002-2-220000000000
χ644-4-440000004-44-4-44000000000-440000000000000000000000000000-222-20000000000
χ658-88-8000000800-88-800000000000000000000000000000000000000000000000000000
χ668-88-8000000-4004-440000000000043−430000000000000000000000000000000000000000
χ678-88-8000000-4004-4400000000000−43430000000000000000000000000000000000000000
χ688-8-88000000-48-844-4000000000-44000000000000000000000000000000000000000000
χ698-8-88000000-4-8844-40000000004-4000000000000000000000000000000000000000000

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