Finite Group Databasebeta

← Group #11819088

Character table — Group #11819088

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-111-1-1-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200220000000000000002-1-1-1-10000-1-1-1-100000
χ18222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2000000000000000-211110000111100000
χ19222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-211-1-1-1-11111111122-2-200-2-20000000000000002-1-1110000-1-11100000
χ20222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-2-2-211-1-1-1-111111111-2-2220022000000000000000-211-1-1000011-1-100000
χ21222222222-1222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-2-222-1-11111-1-1-1-11111222200-2-2000000000000000-2-1-1-1-10000111100000
χ22222222222-1222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21111-2-222-1-11111-1-1-1-11111-2-2-2-20022000000000000000211110000-1-1-1-100000
χ23222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-122-2-21111111111-1-1-1-122-2-20022000000000000000-2-1-111000011-1-100000
χ24222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-122-2-21111111111-1-1-1-1-2-22200-2-2000000000000000211-1-10000-1-11100000
χ2522222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-10000200000-1-1-1-1000000000
χ2622222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2111111110000-2000001111000000000
χ2722222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-21111-2-2-1-1-1-11111111100002200-2-2-1-1-1-1-1-1-1-10000-2000001111000000000
χ2822222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-21111-2-2-1-1-1-1111111110000-2-20022111111110000200000-1-1-1-1000000000
χ2922222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-2-211-1-1221111-1-1-1-111110000-2-20022-1-1-1-111110000-200000-1-111000000000
χ3022222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-211-1-1221111-1-1-1-1111100002200-2-21111-1-1-1-1000020000011-1-1000000000
χ3122222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-222-1-111-2-211111111-1-1-1-10000-2-200-2-2-1-1-1-11111000020000011-1-1000000000
χ3222222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-222-1-111-2-211111111-1-1-1-100002200221111-1-1-1-10000-200000-1-111000000000
χ33222-22-2-2-22222-2222-2-2-22-2-2-2-220000222-2-2-2-2000022-2-2000000000000000000000002-20000000022-2-200000000002-200000000002-2000
χ34222-22-2-2-22222-2222-2-2-22-2-2-2-220000222-2-2-2-2000022-2-200000000000000000000000-220000000022-2-20000000000-220000000000-22000
χ35222-22-2-2-22222-2222-2-2-22-2-2-2-220000222-2-2-2-20000-2-222000000000000000000000002-200000000-2-22200000000002-20000000000-22000
χ36222-22-2-2-22222-2222-2-2-22-2-2-2-220000222-2-2-2-20000-2-22200000000000000000000000-2200000000-2-2220000000000-2200000000002-2000
χ3722-22-2-22-2222-222-2-2-2-2-2-22-2222002-22-2-222-2-200002i−2i2i−2i00000002-22-2000022-2-20000000000002i−2i2i−2i2i−2i000000000000002i−2i00000000000
χ3822-22-2-22-2222-222-2-2-2-2-2-22-2222002-22-2-222-2-20000−2i2i−2i2i00000002-22-2000022-2-2000000000000−2i2i−2i2i−2i2i00000000000000−2i2i00000000000
χ3922-22-2-22-2222-222-2-2-2-2-2-22-222200-222-2-222-2-200002i−2i2i−2i0000000-22-220000-2-222000000000000−2i2i2i−2i2i−2i00000000000000−2i2i00000000000
χ4022-22-2-22-2222-222-2-2-2-2-2-22-222200-222-2-222-2-20000−2i2i−2i2i0000000-22-220000-2-2220000000000002i−2i−2i2i−2i2i000000000000002i−2i00000000000
χ4122-22-2-22-2-12-11-12-2-21-2-2121-12-1002-2-111-1-11133−3−32i−2i2i−2i000003−3-112-233−3−3-1-11133−3−3000000002i−2i−ii−ii−i3−i3i3i30000000000−ii−i3i3000000000
χ4222-22-2-22-2-12-11-12-2-21-2-2121-12-1002-2-111-1-11133−3−3−2i2i−2i2i000003−3-112-233−3−3-1-11133−3−300000000−2i2ii−ii−ii3i3−i3−i30000000000i−ii3−i3000000000
χ4322-22-2-22-2-12-11-12-2-21-2-2121-12-1002-2-111-1-111−3−3332i−2i2i−2i00000−33-112-2−3−333-1-111−3−333000000002i−2i−ii−iii3i3−i3−i30000000000−iii3−i3000000000
χ4422-22-2-22-2-12-11-12-2-21-2-2121-12-1002-2-111-1-111−3−333−2i2i−2i2i00000−33-112-2−3−333-1-111−3−33300000000−2i2ii−ii−i−i3−i3i3i30000000000i−i−i3i3000000000
χ4522-22-2-22-2-12-11-12-2-21-2-2121-12-100-22-111-1-11133−3−32i−2i2i−2i00000−331-1-2233−3−311-1-1−3−33300000000−2i2i−ii−ii−i3−i3i3i30000000000i−ii3−i3000000000
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χ4722-22-2-22-2-12-11-12-2-21-2-2121-12-100-22-111-1-111−3−3332i−2i2i−2i000003−31-1-22−3−33311-1-133−3−300000000−2i2i−ii−iii3i3−i3−i30000000000i−i−i3i3000000000
χ4822-22-2-22-2-12-11-12-2-21-2-2121-12-100-22-111-1-111−3−333−2i2i−2i2i000003−31-1-22−3−33311-1-133−3−3000000002i−2ii−ii−i−i3−i3i3i30000000000−iii3−i3000000000
χ4922-2-2-22-22222-2-22-2-2222-2-22-2-2200002-2-2-2-22200002i−2i−2i2i00000000000000000000000002i−2i0000002i−2i−2i2i000022-2-200002i−2i0000000000000
χ5022-2-2-22-22222-2-22-2-2222-2-22-2-2200002-2-2-2-22200002i−2i−2i2i0000000000000000000000000−2i2i0000002i−2i−2i2i0000-2-2220000−2i2i0000000000000
χ5122-2-2-22-22222-2-22-2-2222-2-22-2-2200002-2-2-2-2220000−2i2i2i−2i00000000000000000000000002i−2i000000−2i2i2i−2i0000-2-22200002i−2i0000000000000
χ5222-2-2-22-22222-2-22-2-2222-2-22-2-2200002-2-2-2-2220000−2i2i2i−2i0000000000000000000000000−2i2i000000−2i2i2i−2i000022-2-20000−2i2i0000000000000
χ532-222-2-2-2222-2-22-22-2-22-2222-2-222i−2i00-22-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i000000000000000000000000002-22-200000000000000002i−2i0
χ542-222-2-2-2222-2-22-22-2-22-2222-2-222i−2i00-22-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i00000000000000000000000000-22-220000000000000000−2i2i0
χ552-222-2-2-2222-2-22-22-2-22-2222-2-22−2i2i00-22-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i000000000000000000000000002-22-20000000000000000−2i2i0
χ562-222-2-2-2222-2-22-22-2-22-2222-2-22−2i2i00-22-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i00000000000000000000000000-22-2200000000000000002i−2i0
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χ954-4-4444-4-4-242-2-2-4-44-2-442422-4-2000022-2-222-2−2i32i32i3−2i3000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-242-2-2-4-44-2-442422-4-2000022-2-222-22i3−2i3−2i32i30000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-22-2-222-2-22-22-222210000-1-111-1-11−2i32i32i3−2i3000000023−23000000i3−i3−i3i33i−3i−3i3i−333−300000000000000000000000000000000000000000
χ984-4-4444-4-4-2-22-2-222-2-22-22-222210000-1-111-1-11−2i32i32i3−2i30000000−2323000000i3−i3−i3i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000000
χ994-4-4444-4-4-2-22-2-222-2-22-22-222210000-1-111-1-112i3−2i3−2i32i3000000023−23000000−i3i3i3−i3−3i3i3i−3i−333−300000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-22-2-222-2-22-22-222210000-1-111-1-112i3−2i3−2i32i30000000−2323000000−i3i3i3−i33i−3i−3i3i3−3−3300000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-44-422-2-4-22-4244-2-2000022-22-2-2200000000000000000000000000000000000004-400000000000000000000000000-2200000
χ1024-4-4-44-4444-2-44-422-2-4-22-4244-2-2000022-22-2-220000000000000000000000000000000000000-44000000000000000000000000002-200000
χ1034-4-4-44-444-242-22-4-4424-42-4-2-24-2000022-22-2-22000000000000000000000000000000000004-400000000-22-2200000000000000000000000
χ1044-4-4-44-444-242-22-4-4424-42-4-2-24-2000022-22-2-2200000000000000000000000000000000000-44000000002-22-200000000000000000000000
χ105888-88-8-8-8-4-4-4-44-4-4-4444-4444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-444-4-4-444-444200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-888-8-4-44444-44-44-4-444-4-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-4444-44-4444-4-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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