Finite Group Databasebeta

← Group #10593935

Character table — Group #10593935

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order12224444336666661212121212121212344666121212121212121212121212121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-111-1-11-1
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1111-1-111-1-1-1-111-1-111-1-111-11
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111-1-1-111-1-11111-1-111-1-1-1-111-11
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-111-1-111-1-111-1-11111-1-11-1
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-1-11111-1-1-1-11111-1-1-11
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111-1-1-1-111-1-11111-1-1-1-1111-1
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-11-1-11111-1-111-1-1-1-111-1-1111-1
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1-1-11111-1-1-1-11111-1-111-1-1-11
χ17222222222-12-122-1-12222-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ18222222222-12-122-1-12222-1-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ19222222222-12-122-1-12222-1-1-1-1-1-2-2-1-1-1-2-211-2-211-1-1-1-1111111110000222200-2-200000000-1-1-1-11111000000
χ20222222222-12-122-1-12222-1-1-1-1-1-2-2-1-1-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ2122222222-12-12-1-122-1-1-1-12222-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ2222222222-12-12-1-122-1-1-1-12222-122-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ2322222222-12-12-1-122-1-1-1-12222-1-2-2-1-1-111-2-211-2-2-1-1-1-11111111122220000-2-200-1-1-1-1111100000000000000
χ2422222222-12-12-1-122-1-1-1-12222-1-2-2-1-1-111-2-211-2-2-1-1-1-111111111-2-2-2-2000022001111-1-1-1-100000000000000
χ252222-2-2-2-22-12-122-1-1-2-2-2-21111-12-2-1-1-122-1-1-2-2111111-1-1-1-11111000022-2-2002-200000000-1-111-1-111000000
χ262222-2-2-2-22-12-122-1-1-2-2-2-21111-12-2-1-1-122-1-1-2-2111111-1-1-1-111110000-2-22200-220000000011-1-111-1-1000000
χ272222-2-2-2-22-12-122-1-1-2-2-2-21111-1-22-1-1-1-2-21122-1-111111111-1-1-1-1000022-2-200-2200000000-1-11111-1-1000000
χ282222-2-2-2-22-12-122-1-1-2-2-2-21111-1-22-1-1-1-2-21122-1-111111111-1-1-1-10000-2-222002-20000000011-1-1-1-111000000
χ292222-2-2-2-2-12-12-1-1221111-2-2-2-2-12-2-1-1-1-1-12211-2-21111-1-1-1-1111122-2-200002-200-1-111-1-11100000000000000
χ302222-2-2-2-2-12-12-1-1221111-2-2-2-2-12-2-1-1-1-1-12211-2-21111-1-1-1-11111-2-2220000-220011-1-111-1-100000000000000
χ312222-2-2-2-2-12-12-1-1221111-2-2-2-2-1-22-1-1-111-2-2-1-12211111111-1-1-1-122-2-20000-2200-1-11111-1-100000000000000
χ322222-2-2-2-2-12-12-1-1221111-2-2-2-2-1-22-1-1-111-2-2-1-12211111111-1-1-1-1-2-22200002-20011-1-1-1-11100000000000000
χ3322-2-222-2-22222-2-2-2-222-2-222-2-22002-2-20000000022-2-20000000000000000000000000000000000002-22-200
χ3422-2-222-2-22222-2-2-2-222-2-222-2-22002-2-20000000022-2-2000000000000000000000000000000000000-22-2200
χ3522-2-2-2-2222222-2-2-2-2-2-222-2-2222002-2-200000000-2-2220000000000000000000000000000000000002-2-2200
χ3622-2-2-2-2222222-2-2-2-2-2-222-2-2222002-2-200000000-2-222000000000000000000000000000000000000-222-200
χ372-22-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i0000000000002-22i−2i0000000000002-22i−2i0000000000
χ382-22-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i200-22-2000000002i−2i2i−2i000000000000-22−2i2i000000000000-22−2i2i0000000000
χ392-22-22i−2i2i−2i2-1-212-2-112i−2i2i−2i−ii−ii-1001-1100−i3i3003−3−ii−ii−i3−i3i3i333−3−300002-22i−2i000000000000-11−ii−i3i33−3000000
χ402-22-22i−2i2i−2i2-1-212-2-112i−2i2i−2i−ii−ii-1001-1100−i3i3003−3−ii−ii−i3−i3i3i333−3−30000-22−2i2i0000000000001-1i−ii3−i3−33000000
χ412-22-22i−2i2i−2i2-1-212-2-112i−2i2i−2i−ii−ii-1001-1100i3−i300−33−ii−iii3i3−i3−i3−3−33300002-22i−2i000000000000-11−iii3−i3−33000000
χ422-22-22i−2i2i−2i2-1-212-2-112i−2i2i−2i−ii−ii-1001-1100i3−i300−33−ii−iii3i3−i3−i3−3−3330000-22−2i2i0000000000001-1i−i−i3i33−3000000
χ432-22-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i0000000000002-2−2i2i0000000000002-2−2i2i0000000000
χ442-22-2−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i200-22-200000000−2i2i−2i2i000000000000-222i−2i000000000000-222i−2i0000000000
χ452-22-2−2i2i−2i2i2-1-212-2-11−2i2i−2i2ii−ii−i-1001-1100−i3i300−33i−ii−i−i3−i3i3i3−3−33300002-2−2i2i000000000000-11i−i−i3i3−33000000
χ462-22-2−2i2i−2i2i2-1-212-2-11−2i2i−2i2ii−ii−i-1001-1100−i3i300−33i−ii−i−i3−i3i3i3−3−3330000-222i−2i0000000000001-1−iii3−i33−3000000
χ472-22-2−2i2i−2i2i2-1-212-2-11−2i2i−2i2ii−ii−i-1001-1100i3−i3003−3i−ii−ii3i3−i3−i333−3−300002-2−2i2i000000000000-11i−ii3−i33−3000000
χ482-22-2−2i2i−2i2i2-1-212-2-11−2i2i−2i2ii−ii−i-1001-1100i3−i3003−3i−ii−ii3i3−i3−i333−3−30000-222i−2i0000000000001-1−ii−i3i3−33000000
χ492-2-222i−2i−2i2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i200-2-22000000002i−2i−2i2i000000002i−2i2-2000000002i−2i2-2000000000000000000
χ502-2-222i−2i−2i2i22-2-2-22-222i−2i−2i2i2i−2i−2i2i200-2-22000000002i−2i−2i2i00000000−2i2i-2200000000−2i2i-22000000000000000000
χ512-2-222i−2i−2i2i-121-21-1-22−iii−i2i−2i−2i2i-10011-13−300−i3i300−iii−i3−33−3−i3i3−i3i32i−2i2-200000000−ii-11−i3i33−300000000000000
χ522-2-222i−2i−2i2i-121-21-1-22−iii−i2i−2i−2i2i-10011-13−300−i3i300−iii−i3−33−3−i3i3−i3i3−2i2i-2200000000i−i1-1i3−i3−3300000000000000
χ532-2-222i−2i−2i2i-121-21-1-22−iii−i2i−2i−2i2i-10011-1−3300i3−i300−iii−i−33−33i3−i3i3−i32i−2i2-200000000−ii-11i3−i3−3300000000000000
χ542-2-222i−2i−2i2i-121-21-1-22−iii−i2i−2i−2i2i-10011-1−3300i3−i300−iii−i−33−33i3−i3i3−i3−2i2i-2200000000i−i1-1−i3i33−300000000000000
χ552-2-22−2i2i2i−2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i200-2-2200000000−2i2i2i−2i000000002i−2i-22000000002i−2i-22000000000000000000
χ562-2-22−2i2i2i−2i22-2-2-22-22−2i2i2i−2i−2i2i2i−2i200-2-2200000000−2i2i2i−2i00000000−2i2i2-200000000−2i2i2-2000000000000000000
χ572-2-22−2i2i2i−2i-121-21-1-22i−i−ii−2i2i2i−2i-10011-13−300i3−i300i−i−ii3−33−3i3−i3i3−i32i−2i-2200000000−ii1-1−i3i3−3300000000000000
χ582-2-22−2i2i2i−2i-121-21-1-22i−i−ii−2i2i2i−2i-10011-13−300i3−i300i−i−ii3−33−3i3−i3i3−i3−2i2i2-200000000i−i-11i3−i33−300000000000000
χ592-2-22−2i2i2i−2i-121-21-1-22i−i−ii−2i2i2i−2i-10011-1−3300−i3i300i−i−ii−33−33−i3i3−i3i32i−2i-2200000000−ii1-1i3−i33−300000000000000
χ602-2-22−2i2i2i−2i-121-21-1-22i−i−ii−2i2i2i−2i-10011-1−3300−i3i300i−i−ii−33−33−i3i3−i3i3−2i2i2-200000000i−i-11−i3i3−3300000000000000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ634444-4-4-4-4-2-2-2-2-2-2-2-22222222214-4111-2-2-2-22222-1-1-1-11111-1-1-1-10000000000000000000000000000000000
χ644444-4-4-4-4-2-2-2-2-2-2-2-2222222221-441112222-2-2-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6544-4-444-4-44-24-2-4-42244-4-4-2-222-200-22200000000-2-222000000000000000000000000000000000000000000
χ6644-4-444-4-4-24-2422-4-4-2-22244-4-4-200-22200000000-2-222000000000000000000000000000000000000000000
χ6744-4-444-4-4-2-2-2-22222-2-222-2-2221001-1-10000000011-1-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ6844-4-444-4-4-2-2-2-22222-2-222-2-2221001-1-10000000011-1-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ6944-4-4-4-4444-24-2-4-422-4-44422-2-2-200-2220000000022-2-2000000000000000000000000000000000000000000
χ7044-4-4-4-444-24-2422-4-422-2-2-4-444-200-2220000000022-2-2000000000000000000000000000000000000000000
χ7144-4-4-4-444-2-2-2-2222222-2-222-2-21001-1-100000000-1-1113i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ7244-4-4-4-444-2-2-2-2222222-2-222-2-21001-1-100000000-1-111−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ734-44-44i−4i4i−4i-242-4-224-4−2i2i−2i2i4i−4i4i−4i-2002-2200000000−2i2i−2i2i000000000000000000000000000000000000000000
χ744-44-44i−4i4i−4i-2-222-22-22−2i2i−2i2i−2i2i−2i2i100-11-100−2i32i30023−23i−ii−ii3i3−i3−i3−3−3330000000000000000000000000000000000
χ754-44-44i−4i4i−4i-2-222-22-22−2i2i−2i2i−2i2i−2i2i100-11-1002i3−2i300−2323i−ii−i−i3−i3i3i333−3−30000000000000000000000000000000000
χ764-44-4−4i4i−4i4i-242-4-224-42i−2i2i−2i−4i4i−4i4i-2002-22000000002i−2i2i−2i000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i-2-222-22-222i−2i2i−2i2i−2i2i−2i100-11-100−2i32i300−2323−ii−iii3i3−i3−i333−3−30000000000000000000000000000000000
χ784-44-4−4i4i−4i4i-2-222-22-222i−2i2i−2i2i−2i2i−2i100-11-1002i3−2i30023−23−ii−ii−i3−i3i3i3−3−3330000000000000000000000000000000000
χ794-4-444i−4i−4i4i4-2-42-442-24i−4i−4i4i−2i2i2i−2i-20022-200000000−2i2i2i−2i000000000000000000000000000000000000000000
χ804-4-444i−4i−4i4i-2-2222-22-2−2i2i2i−2i−2i2i2i−2i100-1-1123−2300−2i32i300i−i−ii−33−33i3−i3i3−i30000000000000000000000000000000000
χ814-4-444i−4i−4i4i-2-2222-22-2−2i2i2i−2i−2i2i2i−2i100-1-11−2323002i3−2i300i−i−ii3−33−3−i3i3−i3i30000000000000000000000000000000000
χ824-4-44−4i4i4i−4i4-2-42-442-2−4i4i4i−4i2i−2i−2i2i-20022-2000000002i−2i−2i2i000000000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i-2-2222-22-22i−2i−2i2i2i−2i−2i2i100-1-1123−23002i3−2i300−iii−i−33−33−i3i3−i3i30000000000000000000000000000000000
χ844-4-44−4i4i4i−4i-2-2222-22-22i−2i−2i2i2i−2i−2i2i100-1-11−232300−2i32i300−iii−i3−33−3i3−i3i3−i30000000000000000000000000000000000

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