Finite Group Databasebeta

← Group #11794070

Character table — Group #11794070

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122222223344446666666666666636666666121212121212121244121212121212121212121212121212121212121244448888121212121212121224242424242424242244666612121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ11222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-1222222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ15222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i322-2-20000-1-1-1-11111000000000000−i3−i3i3i30000000000
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χ17222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i322-2-20000-1-1-1-11111000000000000i3i3−i3−i30000000000
χ18222222222-1-2-2-2-222222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3−i3i3i30000000000
χ1922222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2022222222-122222-1-1-1-1-12222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
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χ2422-222-2-2-222000022-2-2-22-2-2-2222-2-2222-2-2-2-22000000000000000000000000000000002-2i2i2−i2−i2000022-2-2i2i2i2i2−i2−i2−i2−i2000000000000i2i2−i2−i200
χ2522-222-2-2-222000022-2-2-22-2-2-2222-2-2222-2-2-2-2200000000000000000000000000000000-22−i2−i2i2i20000-2-222−i2−i2−i2−i2i2i2i2i2000000000000i2i2−i2−i200
χ2622-222-2-2-222000022-2-2-22-2-2-2222-2-2222-2-2-2-2200000000000000000000000000000000-22i2i2−i2−i20000-2-222i2i2i2i2−i2−i2−i2−i2000000000000−i2−i2i2i200
χ2722-2-2-2-2222222-2-22-22-2-222-22-2-2-2-2222-22-2-22-222-2-222-2-22i−2i2i2i−2i−2i2i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ2822-2-2-2-2222222-2-22-22-2-222-22-2-2-2-2222-22-2-22-222-2-222-2-2−2i2i−2i−2i2i2i−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000
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χ3022-2-2-2-22222-2-2222-22-2-222-22-2-2-2-2222-22-2-22-2-2-222-2-2220000000000-2-22200000000000000000000000000000000-2200-22-220000000000
χ3122-2-2-2-2222-122-2-22-22-2-2-1-11-1-21112-1-11-111-11-1-11122-2-22i−2i2i2i−2i−2i−ii−ii-1-111−i−iii−i−iii0000000033−3−33−33−3000000000000−i3i3i3−i30000000000
χ3222-2-2-2-2222-122-2-22-22-2-2-1-11-1-21112-1-11-111-11-1-11122-2-22i−2i2i2i−2i−2i−ii−ii-1-111−i−iii−i−iii00000000−3−333−33−33000000000000i3−i3−i3i30000000000
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χ3522-2-2-2-2222-1-2-2222-22-2-2-1-11-1-21112-1-11-111-1111-1-1-2-2220000003−3−3311-1-133−3−3−3−3330000000033−3−3−33−33000000002-200-11-110000000000
χ3622-2-2-2-2222-1-2-2222-22-2-2-1-11-1-21112-1-11-111-1111-1-1-2-2220000003−3−3311-1-133−3−3−3−33300000000−3−3333−33−300000000-22001-11-10000000000
χ3722-2-2-2-2222-1-2-2222-22-2-2-1-11-1-21112-1-11-111-1111-1-1-2-222000000−333−311-1-1−3−33333−3−30000000033−3−3−33−3300000000-22001-11-10000000000
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χ3922-2-2-2-222-1222-2-2-11-11122-221-2-2-2-1-1-11-111-1122-2-2-1-1112i−2i−i−iii2i−2i2i−2i-1-111−i−iii−i−iii000000000000000033−3−333−3−300000000−i3−i3i3i3000000
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χ4122-2-2-2-222-1222-2-2-11-11122-221-2-2-2-1-1-11-111-1122-2-2-1-111−2i2iii−i−i−2i2i−2i2i-1-111ii−i−iii−i−i000000000000000033−3−333−3−300000000i3i3−i3−i3000000
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χ432-222-2-22-2222-22-2-2-2-22-2-2-22222-2-222-2-2-22-2222-22-22-22-200000000002-22-20000000000000000000000000000000000000000000000002i−2i
χ442-222-2-22-2222-22-2-2-2-22-2-2-22222-2-222-2-2-22-2222-22-22-22-200000000002-22-2000000000000000000000000000000000000000000000000−2i2i
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χ924-44-44-4-44-2400002-2-2-22-444-42-44-42-22-2-2-22220000000000000000000000000000000000−2222−2222000000002−2−22−222−2000000000000000000
χ934-4-44-44-44440000-4-44-44-44-4-444-44-44-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-44-444-20000-4-44-442-2224-22-2-4-222-22-22-200000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ954-4-44-44-444-20000-4-44-442-2224-22-2-4-222-22-22-2000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ964-4-44-44-44-24000022-22-2-44-4-4-24-442-222-22-22-200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ974-4-44-44-44-24000022-22-2-44-4-4-24-442-222-22-22-20000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ984-4-4-4444-44-24-4-44-44-4-44222-2-42-2-24-22-222-2-22-222-24-4-440000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-444-4-44-4-44222-2-42-2-24-22-222-2-222-2-22-444-400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-244-4-442-222-2-4-4-442-444-2-22-222-2-224-4-44-222-20000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-442-222-2222-222-2-2-21-11-1-111-1-222-2-222-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-442-222-2222-222-2-2-21-11-1-111-1-222-2-222-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-42-222-2222-222-2-2-21-11-1-111-12-2-222-2-220023−23−23230000-111-1−333−3−333−3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-42-222-2222-222-2-2-21-11-1-111-12-2-222-2-2200−232323−230000-111-13−3−333−3−33000000000000000000000000000000000000000000
χ105888-8-88-8-8-4-40000-444-4-4-44-44444-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-888-8-8-8-4-40000-4-4444-4444-4-4-444222-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-8-88-4-400004-4-4-444-4-4444-4442-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-4-4000044-44-44-444-4-44-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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