Finite Group Databasebeta

← Group #11812854

Character table — Group #11812854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212122222246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-111-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-111111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-11111-1
χ17222222222-122-1-1-122-1-12-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000222200000000000020-1-1-1-100-1-1-1-10000000
χ18222222222-122-1-1-122-1-12-12-12-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000000000-2011110011110000000
χ19222222222-122-1-1-122-1-12-12-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111220000-2-222000000000000-20-1-1110011-1-10000000
χ20222222222-122-1-1-122-1-12-12-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-111111111-2-2000022-2-20000000000002011-1-100-1-1110000000
χ21222222222-122-1-1-122-1-12-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-11111-1-1-1-11111220000-2-2-2-200000000000020-1-1-1-10011110000000
χ22222222222-122-1-1-122-1-12-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-2-21122-1-11111-1-1-1-11111-2-200002222000000000000-20111100-1-1-1-10000000
χ23222222222-122-1-1-122-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-1-1-2-21111111111-1-1-1-122000022-2-2000000000000-20-1-11100-1-1110000000
χ24222222222-122-1-1-122-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-1-1-2-21111111111-1-1-1-1-2-20000-2-2220000000000002011-1-10011-1-10000000
χ2522222222-12-1-1222-1-122-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-10000020000-1-10000-1-100000
χ2622222222-12-1-1222-1-122-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111111100000-200001100001100000
χ2722222222-12-1-1222-1-122-12-12-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-1111111110022-2-20000-1-1-1-1-1-1-1-100000-200001100001100000
χ2822222222-12-1-1222-1-122-12-12-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-11111111100-2-2220000111111110000020000-1-10000-1-100000
χ2922222222-12-1-1222-1-122-12-12-1-1-2-222-1-1-1-1-1-1-111112222-2-2-211-2-2-1-1221111-1-1-1-1111100-2-2220000-1-1-1-1111100000-20000-1-100001100000
χ3022222222-12-1-1222-1-122-12-12-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-211-2-2-1-1221111-1-1-1-111110022-2-200001111-1-1-1-10000020000110000-1-100000
χ3122222222-12-1-1222-1-122-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-1-12211-2-211111111-1-1-1-100-2-2-2-20000-1-1-1-111110000020000110000-1-100000
χ3222222222-12-1-1222-1-122-12-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-1-12211-2-211111111-1-1-1-100222200001111-1-1-1-100000-20000-1-100001100000
χ3322-2-222-2-2222-222-2-2-2-2-222-2-2220000222-2-2-2-200002i2i−2i−2i00000000000000000000000000000002i−2i2i2i−2i−2i000022-2-200000000002i−2i0000000
χ3422-2-222-2-2222-222-2-2-2-2-222-2-2220000222-2-2-2-200002i2i−2i−2i0000000000000000000000000000000−2i2i2i2i−2i−2i0000-2-2220000000000−2i2i0000000
χ3522-2-222-2-2222-222-2-2-2-2-222-2-2220000222-2-2-2-20000−2i−2i2i2i00000000000000000000000000000002i−2i−2i−2i2i2i0000-2-22200000000002i−2i0000000
χ3622-2-222-2-2222-222-2-2-2-2-222-2-2220000222-2-2-2-20000−2i−2i2i2i0000000000000000000000000000000−2i2i−2i−2i2i2i000022-2-20000000000−2i2i0000000
χ372-2222-2-2-222-2-2-2-2-2222222-2-2-2200002-2-2-222-200002i−2i2i−2i000000000000000000000000000002-2002i−2i2i−2i00000000000000002-20000002i−2i0
χ382-2222-2-2-222-2-2-2-2-2222222-2-2-2200002-2-2-222-200002i−2i2i−2i00000000000000000000000000000-22002i−2i2i−2i0000000000000000-22000000−2i2i0
χ392-2222-2-2-222-2-2-2-2-2222222-2-2-2200002-2-2-222-20000−2i2i−2i2i000000000000000000000000000002-200−2i2i−2i2i00000000000000002-2000000−2i2i0
χ402-2222-2-2-222-2-2-2-2-2222222-2-2-2200002-2-2-222-20000−2i2i−2i2i00000000000000000000000000000-2200−2i2i−2i2i0000000000000000-220000002i−2i0
χ412-22-2-222-222-222-222-22-2-2-2-2-2222i−2i00-22-222-2-22i2i−2i−2i000002i−2i000000002i2i−2i−2i000000000000000000000000002-22-2000000000000002i−2i000
χ422-22-2-222-222-222-222-22-2-2-2-2-2222i−2i00-22-222-2-22i2i−2i−2i000002i−2i000000002i2i−2i−2i00000000000000000000000000-22-2200000000000000−2i2i000
χ432-22-2-222-222-222-222-22-2-2-2-2-222−2i2i00-22-222-2-2−2i−2i2i2i00000−2i2i00000000−2i−2i2i2i000000000000000000000000002-22-200000000000000−2i2i000
χ442-22-2-222-222-222-222-22-2-2-2-2-222−2i2i00-22-222-2-2−2i−2i2i2i00000−2i2i00000000−2i−2i2i2i00000000000000000000000000-22-22000000000000002i−2i000
χ452-2-22-22-2222-2-22-2-2-22-22-2-222220000-22-2-2-22200000000000000000000000000000002-22-2000000000022-2-22-2-22002-2000000000000000
χ462-2-22-22-2222-2-22-2-2-22-22-2-222220000-22-2-2-22200000000000000000000000000000002-2-220000000000-2-222-222-2002-2000000000000000
χ472-2-22-22-2222-2-22-2-2-22-22-2-222220000-22-2-2-2220000000000000000000000000000000-222-2000000000022-2-2-222-200-22000000000000000
χ482-2-22-22-2222-2-22-2-2-22-22-2-222220000-22-2-2-2220000000000000000000000000000000-22-220000000000-2-2222-2-2200-22000000000000000
χ492-2-2-22-22222-22-2-22-2-2-2-22222-22002-22-2-22-2-2200002-2-2200000002-22-2000022-2-2000000002-200002-2-22000000000000002-200000000000
χ502-2-2-22-22222-22-2-22-2-2-2-22222-22002-22-2-22-2-220000-222-200000002-22-2000022-2-200000000-220000-222-200000000000000-2200000000000
χ512-2-2-22-22222-22-2-22-2-2-2-22222-2200-222-2-22-2-2200002-2-220000000-22-220000-2-22200000000-2200002-2-2200000000000000-2200000000000
χ522-2-2-22-22222-22-2-22-2-2-2-22222-2200-222-2-22-2-220000-222-20000000-22-220000-2-222000000002-20000-222-2000000000000002-200000000000
χ532-2-2-22-222-121-1-2-2211-2-2-12-121-1002-2-111-111-13−33−32-2-220003−300-112-23−33−3-1-11133−3−300002-20000-111-13−33−30000000000-1100003−300000
χ542-2-2-22-222-121-1-2-2211-2-2-12-121-1002-2-111-111-13−33−3-222-20003−300-112-23−33−3-1-11133−3−30000-2200001-1-11−33−3300000000001-10000−3300000
χ552-2-2-22-222-121-1-2-2211-2-2-12-121-1002-2-111-111-1−33−332-2-22000−3300-112-2−33−33-1-111−3−33300002-20000-111-1−33−330000000000-110000−3300000
χ562-2-2-22-222-121-1-2-2211-2-2-12-121-1002-2-111-111-1−33−33-222-2000−3300-112-2−33−33-1-111−3−3330000-2200001-1-113−33−300000000001-100003−300000
χ572-2-2-22-222-121-1-2-2211-2-2-12-121-100-22-111-111-13−33−32-2-22000−33001-1-223−33−311-1-1−3−3330000-220000-111-13−33−300000000001-10000−3300000
χ582-2-2-22-222-121-1-2-2211-2-2-12-121-100-22-111-111-13−33−3-222-2000−33001-1-223−33−311-1-1−3−33300002-200001-1-11−33−330000000000-1100003−300000
χ592-2-2-22-222-121-1-2-2211-2-2-12-121-100-22-111-111-1−33−332-2-220003−3001-1-22−33−3311-1-133−3−30000-220000-111-1−33−3300000000001-100003−300000
χ602-2-2-22-222-121-1-2-2211-2-2-12-121-100-22-111-111-1−33−33-222-20003−3001-1-22−33−3311-1-133−3−300002-200001-1-113−33−30000000000-110000−3300000
χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-4222222-2-2-2-2-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
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χ984-4-44-44-44-24224-4-42-2-442-4-24-2-200002-2222-2-2000000000000000000000000000000000-44000000000022-2-200000000000000000000000
χ994-4-4-44-4444-2-4422-2-4-4224-24-2-4-2004-4-222-222-20000000000000004-4-220000-2-222000000000000000000000000000000000000000000000
χ1004-4-4-44-4444-2-4422-2-4-4224-24-2-4-200-44-222-222-2000000000000000-442-2000022-2-2000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-22-222-22222-2-2-2-221004-41-1-11-1-1123−2323−23000000023−2300-22-22−33−3311-1-1−3−33300000000000000000000000000000000000000000
χ1024-4-4-44-444-2-22-222-22222-2-2-2-221004-41-1-11-1-11−2323−23230000000−232300-22-223−33−311-1-133−3−300000000000000000000000000000000000000000
χ1034-4-4-44-444-2-22-222-22222-2-2-2-22100-441-1-11-1-1123−2323−230000000−2323002-22-2−33−33-1-11133−3−300000000000000000000000000000000000000000
χ1044-4-4-44-444-2-22-222-22222-2-2-2-22100-441-1-11-1-11−2323−2323000000023−23002-22-23−33−3-1-111−3−33300000000000000000000000000000000000000000
χ105888-8-8-8-88-4-4-444-44-44-4444-4-4420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-44-4-444444-4-444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-444444-4-4-4-4-4-4444200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-4-444-4444-44-444-4-4-420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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