Finite Group Databasebeta

← Group #11790146

Character table — Group #11790146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ911-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−iii−i−i1111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ1011-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−iii−i−i1111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ1111-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−iii−i−i-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ1211-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11ii−i−iii−i−i-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ1311-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii−i−iii1111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ1411-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii−i−iii1111-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ1511-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii−i−iii-1-1-1-111111-111-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ1611-1-11-11-1111-11-111-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1-1-11−i−iii−i−iii-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-11111−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-200000000-2-2-2-22222000000000000000000000000000000
χ19222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000-1-1-1-100
χ20222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222222200000000-2-21111-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-2-20000111100
χ21222222222-122222-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-20000111100
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χ23222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-22222-2-2-2-20000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000000000−i3i3−i3i300
χ24222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-22222-2-2-2-20000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000000000i3−i3i3−i300
χ25222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-222220000000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1000000000000000000000000i3−i3i3−i300
χ26222222222-1-2-2-2-22-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2-2-2-2-222220000000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1000000000000000000000000−i3i3−i3i300
χ2722222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ2822222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-10000000022222222-2-2-2-2-2-21111-1-1-1-11111111100000000-1-1-1-1-1-1-1-100000000-2-2001111000000
χ2922222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-100000000-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2001111000000
χ3022222222-122222-12-1-1-1-122-1222-12-1-1-1-1-1-1-1-1-122-1-122-100000000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1111111110000000011111111000000002200-1-1-1-1000000
χ31222-2-22-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-2000000002-22-2000022−2−222−2−200000000000000000000002-22-2000022−2−222−2−222−2−222−2−200000000000000
χ32222-2-22-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-2000000002-22-20000−2−222−2−22200000000000000000000002-22-20000−2−222−2−222−2−222−2−22200000000000000
χ33222-2-22-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-200000000-22-22000022−2−222−2−20000000000000000000000-22-22000022−2−222−2−2−2−222−2−22200000000000000
χ34222-2-22-2-22200002222-2-22-2-2-2-22-2-22222-2-2-2-200000000-22-220000−2−222−2−2220000000000000000000000-22-220000−2−222−2−22222−2−222−2−200000000000000
χ3522-22-2-2-2222000022-2-222-22-2-2-2-2-2222-2-222-2-2000000002i−2i−2i2i000022−2−2−2−22200000000000000000000002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000
χ3622-22-2-2-2222000022-2-222-22-2-2-2-2-2222-2-222-2-2000000002i−2i−2i2i0000−2−22222−2−200000000000000000000002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000
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χ3822-22-2-2-2222000022-2-222-22-2-2-2-2-2222-2-222-2-200000000−2i2i2i−2i0000−2−22222−2−20000000000000000000000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000
χ3922-2-22-22-222-22-2222-2-2-2-2-2-2222-22-222-2-2-2-222-2-2-22222-22i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4022-2-22-22-222-22-2222-2-2-2-2-2-2222-22-222-2-2-2-222-2-2-22222-2−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4122-2-22-22-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-21122i2i−2i−2i2i2i−2i−2i000000002-2-1-11122-2-2-1-111-1-1-1-11111−i−iii−i−iii0000000000000000002i−2i0000−i−iii00
χ4222-2-22-22-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-21122i2i−2i−2i2i2i−2i−2i00000000-2211-1-1-2-222-1-1111111-1-1-1-1−i−iii−i−iii000000000000000000−2i2i0000ii−i−i00
χ4322-2-22-22-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-2112−2i−2i2i2i−2i−2i2i2i000000002-2-1-11122-2-2-1-111-1-1-1-11111ii−i−iii−i−i000000000000000000−2i2i0000ii−i−i00
χ4422-2-22-22-22-12-22-22-1-2-2-2-2112-1-1121-1-11111-1-12-1-1-2-2112−2i−2i2i2i−2i−2i2i2i00000000-2211-1-1-2-222-1-1111111-1-1-1-1ii−i−iii−i−i0000000000000000002i−2i0000−i−iii00
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χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-20000000000000000-4-4222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ9444-4-44-44-4-2-2-44-44-2-2222222-2-2-22-2211-1-1-1-111222-2-2-2-220000000000000000002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ954-4444-4-4-44-24-4-44-424-44-4-2-24-222-42-22-22-22-224-224-4-22-400000000000000000000000000-22-220000000000000000000000000000000000000000000000
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χ994-4444-4-4-4-2-24-4-4422-22-22-2-2-2-222221-11-11-11-1-2-22-22-222000000000000000000000000001-11-1−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ1004-4444-4-4-4-2-2-444-422-22-22-2-2-2-222221-11-11-11-122-22-22-2-2000000000000000000000023−2323−23-11-11−33−33−33−3300000000000000000000000000000000000000
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χ1024-44-4-4-4444-20000-424-4-44-22-42-224-2-22-222-22-20000000000004-44-40000000000000000000000000000000000-22-22000000000000000000000000000000
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χ1054-44-4-4-444-2400002-4-222-24-42-44-4-24-22-222-22-20000000000000000−222222−22−222222−220000000000000000000000000000002−2−222−2−220000000000000000000000
χ1064-4-44-444-44-20000-42-444-42-2-42-2-242-222-2-222-20000000000004i−4i−4i4i0000000000000000000000000000000000−2i2i2i−2i000000000000000000000000000000
χ1074-4-44-444-44-20000-42-444-42-2-42-2-242-222-2-222-2000000000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i000000000000000000000000000000
χ1084-4-44-444-4-2400002-42-2-22-442-444-2-4-222-2-222-2000000000000000022−22−2222−222222−22000000000000000000000000000000−222−22−2−220000000000000000000000
χ1094-4-44-444-4-2400002-42-2-22-442-444-2-4-222-2-222-20000000000000000−222222−2222−22−22220000000000000000000000000000002−2−22−222−20000000000000000000000
χ1104-4-4-444-444-244-4-4-42-44-44224-22-2-4-2-222-22-2-224-22-442-2-400000000000000000000000000-222-20000000000000000000000000000000000000000000000
χ1114-4-4-444-444-2-4-444-42-44-44224-22-2-4-2-222-22-2-22-42-24-4-224000000000000000000000000002-2-220000000000000000000000000000000000000000000000
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χ1134-4-4-444-44-2-244-4-4222-22-222-2-22-22-21-1-11-111-1-2-222-22-22000000000000000000000000001-1-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ1144-4-4-444-44-2-244-4-4222-22-222-2-22-22-21-1-11-111-1-2-222-22-22000000000000000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ1154-4-4-444-44-2-2-4-444222-22-222-2-22-22-21-1-11-111-122-2-22-22-2000000000000000000000023−23−2323-111-1−33−333−33−300000000000000000000000000000000000000
χ1164-4-4-444-44-2-2-4-444222-22-222-2-22-22-21-1-11-111-122-2-22-22-20000000000000000000000−232323−23-111-13−33−3−33−3300000000000000000000000000000000000000
χ117888-8-88-8-8-4-40000-4-4-4-444-44444-4442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-88-8-8-88-4-40000-4-444-4-44-444444-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-8-888-4-4000044-444-4-4444-44-4-42-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-888-8-4-40000444-4-444-444-4-4-442-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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