Finite Group Databasebeta

← Group #11808528

Character table — Group #11808528

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212124444444412121212121212121212121212121212444422222222666666666666666664466666661212121212121212121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ10222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000222222222-12222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ11222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000-1-1-1-111110000222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-200000000-1-1-1-111110000
χ12222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000001111-1-1-1-10000222222222-12222-1-1-1-12-122-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20022000000001111-1-1-1-10000
χ1322222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-100000000000022222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ1422222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001111111100000000000022222222-12-1-1-1-12222-12-1-122-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ1522222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-1111100000000000022222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-11111000000000000
χ1622222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022001111-1-1-1-100000000000022222222-12-1-1-1-12222-12-1-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-20022001111-1-1-1-1000000000000
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χ212222-2-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-1000000000000000033−3−3−3−33300002222-2-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-1000000000000000033−3−3−3−3330000
χ222222-2-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−3−33333−3−300002222-2-2-2-22-122-2-2-1-1112-1-2-211-1-22-1-11111-1-2-22211-1-11111-1-1-1-10000000000000000−3−33333−3−30000
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χ252222-2-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-10000000033−3−3−3−3330000000000002222-2-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-10000000033−3−3−3−333000000000000
χ262222-2-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-100000000−3−33333−3−30000000000002222-2-2-2-2-12-1-11122-2-2-1211-2-2-1-22-1-11111-111-1-1-2-2221111-1-1-1-100000000−3−33333−3−3000000000000
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χ1232-22-2-222-222-22-2-2-22-22-2-222-22200-22-22-22-20000000000000000002i−2i0000000000002i−2i−2i2i00000000-22-222-2-22-2-22-2222-22-222-2-22-2-2002-22-22-22000000000000000000−2i2i000000000000−2i2i2i−2i00000000
χ1242-22-2-222-222-22-2-2-22-22-2-222-22200-22-22-22-2000000000000000000−2i2i000000000000−2i2i2i−2i00000000-22-222-2-22-2-22-2222-22-222-2-22-2-2002-22-22-220000000000000000002i−2i0000000000002i−2i−2i2i00000000
χ1252-22-2-222-22-1-22-2-21-11-1-21221-1-1001-11-11-1100003−3−333−33−3−33−33002i−2i000000000000−iii−ii3−i3−i3i30000-22-222-2-22-212-222-11-112-1-2-2-11100-11-11-11-10000−333−3−33−333−33−300−2i2i000000000000i−i−ii−i3i3i3−i30000
χ1262-22-2-222-22-1-22-2-21-11-1-21221-1-1001-11-11-1100003−3−333−33−3−33−3300−2i2i000000000000i−i−ii−i3i3i3−i30000-22-222-2-22-212-222-11-112-1-2-2-11100-11-11-11-10000−333−3−33−333−33−3002i−2i000000000000−iii−ii3−i3−i3i30000
χ1272-22-2-222-22-1-22-2-21-11-1-21221-1-1001-11-11-110000−333−3−33−333−33−3002i−2i000000000000−iii−i−i3i3i3−i30000-22-222-2-22-212-222-11-112-1-2-2-11100-11-11-11-100003−3−333−33−3−33−3300−2i2i000000000000i−i−iii3−i3−i3i30000
χ1282-22-2-222-22-1-22-2-21-11-1-21221-1-1001-11-11-110000−333−3−33−333−33−300−2i2i000000000000i−i−iii3−i3−i3i30000-22-222-2-22-212-222-11-112-1-2-2-11100-11-11-11-100003−3−333−33−3−33−33002i−2i000000000000−iii−i−i3i3i3−i30000
χ1292-2-2222-2-222-2-22-2-2-2-2222-222-2200-2-22-2-2220000000000000000000000000000000000000000002i−2i-222-2-2-222-2-222-22222-2-2-22-2-22-20022-222-2-2000000000000000000000000000000000000000000−2i2i
χ1302-2-2222-2-222-2-22-2-2-2-2222-222-2200-2-22-2-222000000000000000000000000000000000000000000−2i2i-222-2-2-222-2-222-22222-2-2-22-2-22-20022-222-2-20000000000000000000000000000000000000000002i−2i
χ1312-2-22-2-22222-2-2-22-2-22-2222-2-22200-2-2-222-2200000000000000000000000000000000000000002-200-222-222-2-2-2-2222-222-22-2-2-222-2-200222-2-22-20000000000000000000000000000000000000000-2200
χ1322-2-22-2-22222-2-2-22-2-22-2222-2-22200-2-2-222-220000000000000000000000000000000000000000-2200-222-222-2-2-2-2222-222-22-2-2-222-2-200222-2-22-200000000000000000000000000000000000000002-200
χ13344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-1-4-4-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ13444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000-4-4-4-4-4-4-4-42222222222222222-144-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ1354444-4-4-4-4-2-2-2-222-2-222-2-2222214-411-1-1-1-11-2-222-2-2221111-1-1-1-10000000000000000000000000000-4-4-4-444442222-2-222-2-222-2-2-2-2-1-44-1-11111-122-2-222-2-2-1-1-1-111110000000000000000000000000000
χ1364444-4-4-4-4-2-2-2-222-2-222-2-222221-4411-1-1-1-1122-2-222-2-2-1-1-1-111110000000000000000000000000000-4-4-4-444442222-2-222-2-222-2-2-2-2-14-4-1-11111-1-2-222-2-2221111-1-1-1-10000000000000000000000000000
χ13744-4-44-44-44-24-44-4-2222-424-4-2-2-200-22-2-222200000000000000000000000000000000000000000000-4-444-44-44-42-44-442-2-2-24-2-44222002-222-2-2-200000000000000000000000000000000000000000000
χ13844-4-44-44-4-2-2-22-22-222222-22-2-21001-111-1-1-123−2323−230000−3−333−3−3330000000000000000000000000000-4-444-44-44222-22-22-2-2-2-2-22-222-100-11-1-1111−2323−2323000033−3−333−3−30000000000000000000000000000
χ13944-4-44-44-4-2-2-22-22-222222-22-2-21001-111-1-1-1−2323−2323000033−3−333−3−30000000000000000000000000000-4-444-44-44222-22-22-2-2-2-2-22-222-100-11-1-111123−2323−230000−3−333−3−3330000000000000000000000000000
χ14044-4-4-44-444-24-4-44-22-2-2-42-4422-200-2222-2-2200000000000000000000000000000000000000000000-4-4444-44-4-42-444-42-2224-24-4-2-22002-2-2-222-200000000000000000000000000000000000000000000
χ14144-4-4-44-44-2-2-222-2-22-2-2222-2221001-1-1-111-123−23−23230000−3−33333−3−30000000000000000000000000000-4-4444-44-4222-2-222-222-2-2-22-2-2-100-1111-1-11−232323−23000033−3−3−3−3330000000000000000000000000000
χ14244-4-4-44-44-2-2-222-2-22-2-2222-2221001-1-1-111-1−232323−23000033−3−3−3−3330000000000000000000000000000-4-4444-44-4222-2-222-222-2-2-22-2-2-100-1111-1-1123−23−23230000−3−33333−3−30000000000000000000000000000
χ1434-44-44-4-44-242-2-2-2-444-42-4224-4-2002-2-22-22200000000000000000000000000000000000000000000-44-44-444-42-4-22224-4-44-24-2-2-44200-222-22-2-200000000000000000000000000000000000000000000
χ1444-44-44-4-44-2-22-2-2-22-2-222222-22100-111-11-1-1000023−2323−23−33−33−33−330000000000000000000000000000-44-44-444-422-2222-222-2-2-2-2-22-2-1001-1-11-1110000−2323−23233−33−33−33−30000000000000000000000000000
χ1454-44-44-4-44-2-22-2-2-22-2-222222-22100-111-11-1-10000−2323−23233−33−33−33−30000000000000000000000000000-44-44-444-422-2222-222-2-2-2-2-22-2-1001-1-11-111000023−2323−23−33−33−33−330000000000000000000000000000
χ1464-44-4-444-4-242-222-44-442-4-2-2-44-2002-22-22-2200000000000000000000000000000000000000000000-44-444-4-442-4-22-2-24-44-4-24224-4200-22-22-22-200000000000000000000000000000000000000000000
χ1474-44-4-444-4-2-22-2222-22-222-2-22-2100-11-11-11-1000023−23−2323−33−333−33−30000000000000000000000000000-44-444-4-4422-22-2-2-22-22-2-222-22-1001-11-11-110000−232323−233−33−3−33−330000000000000000000000000000
χ1484-44-4-444-4-2-22-2222-22-222-2-22-2100-11-11-11-10000−232323−233−33−3−33−330000000000000000000000000000-44-444-4-4422-22-2-2-22-22-2-222-22-1001-11-11-11000023−23−2323−33−333−33−30000000000000000000000000000
χ1494-4-4444-4-44-2-4-44-4222-24-2-44-22-20022-222-2-200000000000000000000000000000000000000000000-444-4-4-444-4244-44-2-2-22-424-42-2200-2-22-2-22200000000000000000000000000000000000000000000
χ1504-4-4444-4-4-2422-22-4-4-44-242-24-4-20022-222-2-200000000000000000000000000000000000000000000-444-4-4-4442-4-2-22-2444-42-4-22-44200-2-22-2-22200000000000000000000000000000000000000000000
χ1514-4-4444-4-4-2-222-22222-2-2-22-2-22100-1-11-1-111000000003-3-333-3-330000000000000000000000000000-444-4-4-44422-2-22-2-2-2-2222-222-2-10011-111-1-100000000-333-3-333-30000000000000000000000000000
χ1524-4-4444-4-4-2-222-22222-2-2-22-2-22100-1-11-1-11100000000-333-3-333-30000000000000000000000000000-444-4-4-44422-2-22-2-2-2-2222-222-2-10011-111-1-1000000003-3-333-3-330000000000000000000000000000
χ1534-4-44-4-4444-2-4-4-4422-224-24-42-2-200222-2-22-200000000000000000000000000000000000000000000-444-444-4-4-42444-4-2-22-2-42-44-22200-2-2-222-2200000000000000000000000000000000000000000000
χ1544-4-44-4-444-24222-2-4-44-4-24-22-44-200222-2-22-200000000000000000000000000000000000000000000-444-444-4-42-4-2-2-2244-442-42-24-4200-2-2-222-2200000000000000000000000000000000000000000000
χ1554-4-44-4-444-2-2222-222-22-2-2-222-2100-1-1-111-11000000003-3-33-333-30000000000000000000000000000-444-444-4-422-2-2-22-2-22-2222-2-22-100111-1-11-100000000-333-33-3-330000000000000000000000000000
χ1564-4-44-4-444-2-2222-222-22-2-2-222-2100-1-1-111-1100000000-333-33-3-330000000000000000000000000000-444-444-4-422-2-2-22-2-22-2222-2-22-100111-1-11-1000000003-3-33-333-30000000000000000000000000000

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