Finite Group Databasebeta

← Group #11808312

Character table — Group #11808312

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order1222222233666666666666663446666666121212121212121212121212121212124444444412121212121212121212121212121212224422222222666666666666666664466666661212121212121212121212121212121244444444121212121212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
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
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-122222-1-1-1-1-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000
χ12222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000222222222-122222-1-1-1-1-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000
χ1322222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-1-122222-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-10000
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χ20222-2-2-22-22-122-2-2-2-1-111-1-2112-100-1-11111-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i000000ii−i−i−3−333000000000000222-2-2-22-22-122-2-2-2-1-111-1-2112-100-1-11111-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−2i2i000000ii−i−i−3−333000000000000
χ21222-2-2-22-22-122-2-2-2-1-111-1-2112-100-1-11111-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i000000−i−iii−3−333000000000000222-2-2-22-22-122-2-2-2-1-111-1-2112-100-1-11111-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32i−2i000000−i−iii−3−333000000000000
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χ2422-222-2-2-2222-222-22-2-2-2-2-222-22002-222-2-2-2000000000000000000000000000000000000000000−2i2i22-222-2-2-2222-222-22-2-2-2-2-222-22002-222-2-2-2000000000000000000000000000000000000000000−2i2i
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χ1162-222-22-2-2-121-1-111-222-2-2-12-21-12i−2i1-1-11-1112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000i3−i3i3−i3−33−330000-22-2-22-2221-2-111-1-12-2-2221-22-11−2i2i-111-11-1-1−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000−i3i3−i3i33−33−30000
χ1172-222-22-2-2-121-1-111-222-2-2-12-21-1−2i2i1-1-11-111−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000−i3i3−i3i3−33−330000-22-2-22-2221-2-111-1-12-2-2221-22-112i−2i-111-11-1-12i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000i3−i3i3−i33−33−30000
χ1182-222-22-2-2-121-1-111-222-2-2-12-21-1−2i2i1-1-11-111−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000i3−i3i3−i33−33−30000-22-2-22-2221-2-111-1-12-2-2221-22-112i−2i-111-11-1-12i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000−i3i3−i3i3−33−330000
χ1192-22-22-2-2222-22-222-22-22-2-2-22-2200-22-22-22-20000000000000000002i−2i000000002i−2i−2i2i000000000000-22-22-222-2-2-22-22-2-22-22-2222-22-2002-22-22-22000000000000000000−2i2i00000000−2i2i2i−2i000000000000
χ1202-22-22-2-2222-22-222-22-22-2-2-22-2200-22-22-22-2000000000000000000−2i2i00000000−2i2i2i−2i000000000000-22-22-222-2-2-22-22-2-22-22-2222-22-2002-22-22-220000000000000000002i−2i000000002i−2i−2i2i000000000000
χ1212-22-22-2-222-1-22-2221-11-11-21-1-2-1001-11-11-113−3−3300003−33−3−33−33002i−2i0000i3−i3−i3i3−iii−i000000000000-22-22-222-2-212-22-2-2-11-11-12-112100-11-11-11-1−333−30000−33−333−33−300−2i2i0000−i3i3i3−i3i−i−ii000000000000
χ1222-22-22-2-222-1-22-2221-11-11-21-1-2-1001-11-11-113−3−3300003−33−3−33−3300−2i2i0000−i3i3i3−i3i−i−ii000000000000-22-22-222-2-212-22-2-2-11-11-12-112100-11-11-11-1−333−30000−33−333−33−3002i−2i0000i3−i3−i3i3−iii−i000000000000
χ1232-22-22-2-222-1-22-2221-11-11-21-1-2-1001-11-11-11−333−30000−33−333−33−3002i−2i0000−i3i3i3−i3−iii−i000000000000-22-22-222-2-212-22-2-2-11-11-12-112100-11-11-11-13−3−3300003−33−3−33−3300−2i2i0000i3−i3−i3i3i−i−ii000000000000
χ1242-22-22-2-222-1-22-2221-11-11-21-1-2-1001-11-11-11−333−30000−33−333−33−300−2i2i0000i3−i3−i3i3i−i−ii000000000000-22-22-222-2-212-22-2-2-11-11-12-112100-11-11-11-13−3−3300003−33−3−33−33002i−2i0000−i3i3i3−i3−iii−i000000000000
χ1252-2-22-2-22222-2-22-22-2-2-222-22-22200-2-22-2-22200000000000000000000000000000000000000002-200-222-222-2-2-2-222-22-2222-2-22-22-2-20022-222-2-20000000000000000000000000000000000000000-2200
χ1262-2-22-2-22222-2-22-22-2-2-222-22-22200-2-22-2-2220000000000000000000000000000000000000000-2200-222-222-2-2-2-222-22-2222-2-22-22-2-20022-222-2-200000000000000000000000000000000000000002-200
χ1272-2-2-2222-222-2-2-22-2-2-22-222-222200-2-2-222-22000000000000000000002-200000000002-2-2200000000-2222-2-2-22-2-2222-2222-22-2-22-2-2-200222-2-22-200000000000000000000-220000000000-222-200000000
χ1282-2-2-2222-222-2-2-22-2-2-22-222-222200-2-2-222-2200000000000000000000-220000000000-222-200000000-2222-2-2-22-2-2222-2222-22-2-22-2-2-200222-2-22-2000000000000000000002-200000000002-2-2200000000
χ1292-2-2-2222-2-12111-11-2-22-22-1-22-1-100111-1-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300002-20000000000-111-1−i3i3i3−i30000-2222-2-2-221-2-1-1-11-122-22-212-21100-1-1-111-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000-2200000000001-1-11i3−i3−i3i30000
χ1302-2-2-2222-2-12111-11-2-22-22-1-22-1-100111-1-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000-2200000000001-1-11i3−i3−i3i30000-2222-2-2-221-2-1-1-11-122-22-212-21100-1-1-111-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300002-20000000000-111-1−i3i3i3−i30000
χ1312-2-2-2222-2-12111-11-2-22-22-1-22-1-100111-1-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300002-20000000000-111-1i3−i3−i3i30000-2222-2-2-221-2-1-1-11-122-22-212-21100-1-1-111-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000-2200000000001-1-11−i3i3i3−i30000
χ1322-2-2-2222-2-12111-11-2-22-22-1-22-1-100111-1-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000-2200000000001-1-11−i3i3i3−i30000-2222-2-2-221-2-1-1-11-122-22-212-21100-1-1-111-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300002-20000000000-111-1i3−i3−i3i30000
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
χ135444-4-4-44-4-24-2-222244-4-442-4-4-2-200-2-22222-200000000000000000000000000000000000000000000-4-4-4444-442-422-2-2-2-4-444-4-244220022-2-2-2-2200000000000000000000000000000000000000000000
χ136444-4-4-44-4-2-2-2-2222-2-222-2222-210011-1-1-1-11−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000-4-4-4444-442222-2-2-222-2-22-2-2-22-100-1-11111-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ137444-4-4-44-4-2-2-2-2222-2-222-2222-210011-1-1-1-112i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000-4-4-4444-442222-2-2-222-2-22-2-2-22-100-1-11111-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ13844-444-4-4-44-24-444-4-22222-4-2-2-4-200-22-2-222200000000000000000000000000000000000000000000-4-44-4-4444-42-44-4-442-2-2-2-242242002-222-2-2-200000000000000000000000000000000000000000000
χ13944-444-4-4-4-24-22-2-224-4-4-4-42442-200-22-2-222200000000000000000000000000000000000000000000-4-44-4-44442-42-222-2-44444-2-4-4-22002-222-2-2-200000000000000000000000000000000000000000000
χ14044-444-4-4-4-2-2-22-2-22-222222-2-221001-111-1-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000-4-44-4-4444222-222-22-2-2-2-2-222-2-100-11-1-111100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ14144-444-4-4-4-2-2-22-2-22-222222-2-221001-111-1-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000-4-44-4-4444222-222-22-2-2-2-2-222-2-100-11-1-1111000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ14244-4-4-44-444-24-4-4-44-22-2-22422-4-200-2222-2-2200000000000000000000000000000000000000000000-4-4444-44-4-42-4444-42-222-2-4-2-242002-2-2-222-200000000000000000000000000000000000000000000
χ14344-4-4-44-44-2-2-2222-2-22-2-22-22221001-1-1-111-100002323−23−23−3−333−3−3330000000000000000000000000000-4-4444-44-4222-2-2-222-222-22-2-2-2-100-1111-1-110000−23−23232333−3−333−3−30000000000000000000000000000
χ14444-4-4-44-44-2-2-2222-2-22-2-22-22221001-1-1-111-10000−23−23232333−3−333−3−30000000000000000000000000000-4-4444-44-4222-2-2-222-222-22-2-2-2-100-1111-1-1100002323−23−23−3−333−3−3330000000000000000000000000000
χ1454-444-44-4-4-2-22-2-2222-2-222-2-22214i−4i-111-11-1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000-44-4-44-44422-222-2-2-222-2-222-2-2-1−4i4i1-1-11-1112i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000
χ1464-444-44-4-4-2-22-2-2222-2-222-2-2221−4i4i-111-11-1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000-44-4-44-44422-222-2-2-222-2-222-2-2-14i−4i1-1-11-111−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000
χ1474-44-44-4-44-242-22-2-2-44-44-42-442-2002-22-22-2200000000000000000000000000000000000000000000-44-44-444-42-4-22-2224-44-44-24-4-2200-22-22-22-200000000000000000000000000000000000000000000
χ1484-44-44-4-44-2-22-22-2-22-22-2222-22100-11-11-11-123−23−23230000−33−333−33−30000000000000000000000000000-44-44-444-422-22-222-22-22-2-2-22-2-1001-11-11-11−232323−2300003−33−3−33−330000000000000000000000000000
χ1494-44-44-4-44-2-22-22-2-22-22-2222-22100-11-11-11-1−232323−2300003−33−3−33−330000000000000000000000000000-44-44-444-422-22-222-22-22-2-2-22-2-1001-11-11-1123−23−23230000−33−333−33−30000000000000000000000000000
χ1504-4-44-4-4444-2-4-44-44222-2-2-4-224-20022-222-2-200000000000000000000000000000000000000000000-444-444-4-4-4244-44-4-2-2-22242-2-4200-2-22-2-22200000000000000000000000000000000000000000000
χ1514-4-44-4-444-2422-22-2-4-4-44424-4-2-20022-222-2-200000000000000000000000000000000000000000000-444-444-4-42-4-2-22-22444-4-4-2-442200-2-22-2-22200000000000000000000000000000000000000000000
χ1524-4-44-4-444-2-222-22-2222-2-22-22-2100-1-11-1-111000000003-3-33-333-30000000000000000000000000000-444-444-4-422-2-22-22-2-2-222-22-22-10011-111-1-100000000-333-33-3-330000000000000000000000000000
χ1534-4-44-4-444-2-222-22-2222-2-22-22-2100-1-11-1-11100000000-333-33-3-330000000000000000000000000000-444-444-4-422-2-22-22-2-2-222-22-22-10011-111-1-1000000003-3-33-333-30000000000000000000000000000
χ1544-4-4-4444-44-2-4-4-44-422-22-242-24-200222-2-22-200000000000000000000000000000000000000000000-4444-4-4-44-42444-44-2-22-22-4-22-4200-2-2-222-2200000000000000000000000000000000000000000000
χ1554-4-4-4444-4-2-2222-2222-22-2-22-2-2100-1-1-111-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000-4444-4-4-4422-2-2-22-2-2-22-222-222-100111-1-11-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ1564-4-4-4444-4-2-2222-2222-22-2-22-2-2100-1-1-111-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000-4444-4-4-4422-2-2-22-2-2-22-222-222-100111-1-11-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000

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