Finite Group Databasebeta

← Group #11808316

Character table — Group #11808316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order12222222336666666666666634466666661212121212121212121212121212121222444444666612121212121212121212121244442222222266666666666666666446666666121212121212121212121212121212122244444466661212121212121212121212124444
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
χ9222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ10222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ11222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-11111000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-11111000000000000
χ12222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-20022001111-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-20022001111-1-1-1-1000000000000
χ1322222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-20000000011111111000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ1522222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111002200-2-200000000-1-1-1-11111000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111002200-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111100-2-20022000000001111-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111100-2-20022000000001111-1-1-1-10000
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χ21222-2-22-2-2-12-1-11122-2-2-21-2-112-100-1-1-11111−3−3330000−3−3−3−33333002i−2i000000000000−i−iiii3i3−i3−i30000222-2-22-2-2-12-1-11122-2-2-21-2-112-100-1-1-11111−3−3330000−3−3−3−33333002i−2i000000000000−i−iiii3i3−i3−i30000
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χ2522-2-2-2-222222-2222-2-222-2-2-2-2-22002-2-2-222-2000000000000000000002i−2i0000002i2i−2i−2i00000000000022-2-2-2-222222-2222-2-222-2-2-2-2-22002-2-2-222-2000000000000000000002i−2i0000002i2i−2i−2i000000000000
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χ2822-2-2-2-2222-12-222-111-1-1-21-2-21-100-1111-1-11000033−3−333−3−333−3−30000−2i2i00i3i3−i3−i3ii−i−i00000000000022-2-2-2-2222-12-222-111-1-1-21-2-21-100-1111-1-11000033−3−333−3−333−3−30000−2i2i00i3i3−i3−i3ii−i−i000000000000
χ2922-2-2-2-2222-12-222-111-1-1-21-2-21-100-1111-1-110000−3−333−3−333−3−33300002i−2i00i3i3−i3−i3−i−iii00000000000022-2-2-2-2222-12-222-111-1-1-21-2-21-100-1111-1-110000−3−333−3−333−3−33300002i−2i00i3i3−i3−i3−i−iii000000000000
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χ312-222-2-22-222-222-2-22-22-222-2-2-2200-22-2-22-2200000000000000000000002i−2i0000000000002i−2i2i−2i00002-222-2-22-222-222-2-22-22-222-2-2-2200-22-2-22-2200000000000000000000002i−2i0000000000002i−2i2i−2i0000
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χ382-22-22-2-2222-22-22-222-22-2-2-22-22−2i2i-22-22-22-2−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000002-22-22-2-2222-22-22-222-22-2-2-22-22−2i2i-22-22-22-2−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
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χ522-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-220000001-1-11−i3i3i3−i30000000000002-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-220000001-1-11−i3i3i3−i3000000000000
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χ1172-22-22-2-222-1-22-221-1-11-1-21-221-12i−2i1-11-11-112i−2i−2i2i−ii−ii−ii−iii−ii−i00000000−i3i3−i3i33−33−3000000000000-22-22-222-2-212-22-2-111-112-12-2-11−2i2i-11-11-11-1−2i2i2i−2ii−ii−ii−ii−i−ii−ii00000000i3−i3i3−i3−33−33000000000000
χ1182-22-22-2-222-1-22-221-1-11-1-21-221-12i−2i1-11-11-112i−2i−2i2i−ii−ii−ii−iii−ii−i00000000i3−i3i3−i3−33−33000000000000-22-22-222-2-212-22-2-111-112-12-2-11−2i2i-11-11-11-1−2i2i2i−2ii−ii−ii−ii−i−ii−ii00000000−i3i3−i3i33−33−3000000000000
χ1192-22-22-2-222-1-22-221-1-11-1-21-221-1−2i2i1-11-11-11−2i2i2i−2ii−ii−ii−ii−i−ii−ii00000000−i3i3−i3i3−33−33000000000000-22-22-222-2-212-22-2-111-112-12-2-112i−2i-11-11-11-12i−2i−2i2i−ii−ii−ii−iii−ii−i00000000i3−i3i3−i33−33−3000000000000
χ1202-22-22-2-222-1-22-221-1-11-1-21-221-1−2i2i1-11-11-11−2i2i2i−2ii−ii−ii−ii−i−ii−ii00000000i3−i3i3−i33−33−3000000000000-22-22-222-2-212-22-2-111-112-12-2-112i−2i-11-11-11-12i−2i−2i2i−ii−ii−ii−iii−ii−i00000000−i3i3−i3i3−33−33000000000000
χ1212-22-22-2-22-121-11-1-222-221-21-1-2-12i−2i1-11-11-11−iii−i2i−2i2i−2i−ii−iii−ii−i0000000000000000−i3i3i3−i3−333−30000-22-22-222-21-2-11-112-2-22-2-12-1121−2i2i-11-11-11-1i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000000000000000i3−i3−i3i33−3−330000
χ1222-22-22-2-22-121-11-1-222-221-21-1-2-12i−2i1-11-11-11−iii−i2i−2i2i−2i−ii−iii−ii−i0000000000000000i3−i3−i3i33−3−330000-22-22-222-21-2-11-112-2-22-2-12-1121−2i2i-11-11-11-1i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000000000000000−i3i3i3−i3−333−30000
χ1232-22-22-2-22-121-11-1-222-221-21-1-2-1−2i2i1-11-11-11i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000000000000000−i3i3i3−i33−3−330000-22-22-222-21-2-11-112-2-22-2-12-11212i−2i-11-11-11-1−iii−i2i−2i2i−2i−ii−iii−ii−i0000000000000000i3−i3−i3i3−333−30000
χ1242-22-22-2-22-121-11-1-222-221-21-1-2-1−2i2i1-11-11-11i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000000000000000i3−i3−i3i3−333−30000-22-22-222-21-2-11-112-2-22-2-12-11212i−2i-11-11-11-1−iii−i2i−2i2i−2i−ii−iii−ii−i0000000000000000−i3i3i3−i33−3−330000
χ1252-2-22-22-2222-2-2-22-2-2-2-22222-22200-2-22-2-22200000000000000002-20000002-2-220000000000000000-222-22-22-2-2-2222-22222-2-2-2-22-2-20022-222-2-20000000000000000-22000000-222-20000000000000000
χ1262-2-22-22-2222-2-2-22-2-2-2-22222-22200-2-22-2-2220000000000000000-22000000-222-20000000000000000-222-22-22-2-2-2222-22222-2-2-2-22-2-20022-222-2-200000000000000002-20000002-2-220000000000000000
χ1272-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i32-2000000-111-1−i3i3i3−i3000000000000-222-22-22-2-21222-2-1-1-1-11-21-221100-1-11-1-1110000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-220000001-1-11i3−i3−i3i3000000000000
χ1282-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3-220000001-1-11i3−i3−i3i3000000000000-222-22-22-2-21222-2-1-1-1-11-21-221100-1-11-1-1110000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i32-2000000-111-1−i3i3i3−i3000000000000
χ1292-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i32-2000000-111-1i3−i3−i3i3000000000000-222-22-22-2-21222-2-1-1-1-11-21-221100-1-11-1-1110000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3-220000001-1-11−i3i3i3−i3000000000000
χ1302-2-22-22-222-1-2-2-221111-12-12-2-1-10011-111-1-10000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-220000001-1-11−i3i3i3−i3000000000000-222-22-22-2-21222-2-1-1-1-11-21-221100-1-11-1-1110000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i32-2000000-111-1i3−i3−i3i3000000000000
χ1312-2-2-2222-222-2-22-2-2-222-2-2-2222200-2-2222-2-200000000000000000000000000000000000000002-200-2222-2-2-22-2-222-2222-2-2222-2-2-2-20022-2-2-2220000000000000000000000000000000000000000-2200
χ1322-2-2-2222-222-2-22-2-2-222-2-2-2222200-2-2222-2-20000000000000000000000000000000000000000-2200-2222-2-2-22-2-222-2222-2-2222-2-2-2-20022-2-2-22200000000000000000000000000000000000000002-200
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
χ135444-4-44-4-44-244-4-4-2-2222-424-4-2-200-2-2-2222200000000000000000000000000000000000000000000-4-4-444-444-42-4-44422-2-2-24-2-442200222-2-2-2-200000000000000000000000000000000000000000000
χ136444-4-44-4-4-2-2-2-222-2-222222-22-2100111-1-1-1-12323−23−230000−3−3−3−333330000000000000000000000000000-4-4-444-4442222-2-222-2-2-2-2-22-22-100-1-1-11111−23−23232300003333−3−3−3−30000000000000000000000000000
χ137444-4-44-4-4-2-2-2-222-2-222222-22-2100111-1-1-1-1−23−23232300003333−3−3−3−30000000000000000000000000000-4-4-444-4442222-2-222-2-2-2-2-22-22-100-1-1-111112323−23−230000−3−3−3−333330000000000000000000000000000
χ13844-444-4-4-44-24-4-4-4-22-2224-2-442-200-222-222-200000000000000000000000000000000000000000000-4-44-4-4444-42-44442-22-2-2-424-4-22002-2-22-2-2200000000000000000000000000000000000000000000
χ13944-444-4-4-4-24-22224-44-4-4-242-2-4-200-222-222-200000000000000000000000000000000000000000000-4-44-4-44442-42-2-2-2-44-4442-4-2242002-2-22-2-2200000000000000000000000000000000000000000000
χ14044-444-4-4-4-2-2-2222-22-222-2-22-221001-1-11-1-110000000033-3-3-3-3330000000000000000000000000000-4-44-4-4444222-2-2-22-22-2-222-22-2-100-111-111-100000000-3-33333-3-30000000000000000000000000000
χ14144-444-4-4-4-2-2-2222-22-222-2-22-221001-1-11-1-1100000000-3-33333-3-30000000000000000000000000000-4-44-4-4444222-2-2-22-22-2-222-22-2-100-111-111-10000000033-3-3-3-3330000000000000000000000000000
χ14244-4-4-4-444-24-22-2-24-4-4442-422-4-200-2222-2-2200000000000000000000000000000000000000000000-4-44444-4-42-42-222-444-4-4-24-2-242002-2-2-222-200000000000000000000000000000000000000000000
χ14344-4-4-4-444-2-2-22-2-2-222-2-2222221001-1-1-111-100002323−23−23−3−333−3−3330000000000000000000000000000-4-44444-4-4222-2222-2-222-2-2-2-2-2-100-1111-1-110000−23−23232333−3−333−3−30000000000000000000000000000
χ14444-4-4-4-444-2-2-22-2-2-222-2-2222221001-1-1-111-10000−23−23232333−3−333−3−30000000000000000000000000000-4-44444-4-4222-2222-2-222-2-2-2-2-2-100-1111-1-1100002323−23−23−3−333−3−3330000000000000000000000000000
χ1454-444-4-44-44-2-444-42-22-224-2-4-42-2002-222-22-200000000000000000000000000000000000000000000-44-4-444-44-424-4-44-22-22-2-4244-2200-22-2-22-2200000000000000000000000000000000000000000000
χ1464-444-4-44-4-2-22-2-222-22-22-2-2222100-11-1-11-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000-44-4-444-4422-222-2-22-22-222-2-2-2-1001-111-11-12i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ1474-444-4-44-4-2-22-2-222-22-22-2-2222100-11-1-11-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000-44-4-444-4422-222-2-22-22-222-2-2-2-1001-111-11-1−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ1484-44-44-4-44-2-22-22-22-2-22-2222-2214i−4i-11-11-11-1−2i2i2i−2i−2i2i−2i2ii−ii−i−ii−ii0000000000000000000000000000-44-44-444-422-22-22-222-22-2-2-22-2-1−4i4i1-11-11-112i−2i−2i2i2i−2i2i−2i−ii−iii−ii−i0000000000000000000000000000
χ1494-44-44-4-44-2-22-22-22-2-22-2222-221−4i4i-11-11-11-12i−2i−2i2i2i−2i2i−2i−ii−iii−ii−i0000000000000000000000000000-44-44-444-422-22-22-222-22-2-2-22-2-14i−4i1-11-11-11−2i2i2i−2i−2i2i−2i2ii−ii−i−ii−ii0000000000000000000000000000
χ1504-4-44-44-44-24222-2-4-4-4-44-24-224-20022-222-2-200000000000000000000000000000000000000000000-444-44-44-42-4-2-2-224444-42-42-2-4200-2-22-2-22200000000000000000000000000000000000000000000
χ1514-4-44-44-44-2-2222-22222-2-2-2-22-2100-1-11-1-1110000−2i32i32i3−2i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000-444-44-44-422-2-2-22-2-2-2-22222-22-10011-111-1-100002i3−2i3−2i32i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ1524-4-44-44-44-2-2222-22222-2-2-2-22-2100-1-11-1-11100002i3−2i3−2i32i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000-444-44-44-422-2-2-22-2-2-2-22222-22-10011-111-1-10000−2i32i32i3−2i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ1534-4-4-4444-44-2-4-44-422-2-22-4244-2-20022-2-2-22200000000000000000000000000000000000000000000-4444-4-4-44-4244-44-2-222-24-2-4-42200-2-2222-2-200000000000000000000000000000000000000000000
χ1544-4-4-4444-4-2422-22-4-444-42-4-2-24-20022-2-2-22200000000000000000000000000000000000000000000-4444-4-4-442-4-2-22-244-4-44-2422-4200-2-2222-2-200000000000000000000000000000000000000000000
χ1554-4-4-4444-4-2-222-2222-2-2222-2-2-2100-1-1111-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000-4444-4-4-4422-2-22-2-2-222-2-2-2222-10011-1-1-11100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000
χ1564-4-4-4444-4-2-222-2222-2-2222-2-2-2100-1-1111-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000-4444-4-4-4422-2-22-2-2-222-2-2-2222-10011-1-1-111000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000

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