Finite Group Databasebeta

← Group #11808124

Character table — Group #11808124

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order12222222336666666666666634466666661212121212121212121212121212121222444444666612121212121212121212121244442222222266666666666666666446666666121212121212121212121212121212122244444466661212121212121212121212124444
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
χ9222222222-1222222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-1222222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222-1222222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-1222222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222222-1222222-1-1-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000222222222-1222222-1-1-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000
χ12222222222-1222222-1-1-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000222222222-1222222-1-1-1-1-1-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000
χ1322222222-12-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-1-1-12222222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-1-1-12222222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-1-1-12222222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-1-1-12222222-1-1-2-2-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-10000
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χ192222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-1111133−3−300003333−3−3−3−32-2000000-1-11133−3−30000000000002222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-1111133−3−300003333−3−3−3−32-2000000-1-11133−3−3000000000000
χ202222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-1111133−3−300003333−3−3−3−3-2200000011-1-1−3−3330000000000002222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-1111133−3−300003333−3−3−3−3-2200000011-1-1−3−333000000000000
χ212222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-11111−3−3330000−3−3−3−333332-2000000-1-111−3−3330000000000002222-2-2-2-22-1222-2-2-2-1-1-11111-2-100-1-1-11111−3−3330000−3−3−3−333332-2000000-1-111−3−333000000000000
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χ1202-22-2-22-2222-22-2-2-22-22-2-222-22200-22-2-2-2220000000000000000000000-22000000000000-22-220000-22-222-22-2-2-22-2222-22-222-2-22-2-2002-2222-2-200000000000000000000002-20000000000002-22-20000
χ1212-22-2-22-22-121-1111-1-22-2-222-2-1-1001-1111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000002-200000000−i3i3−i3i3-11-110000-22-222-22-21-2-11-1-1-112-222-2-221100-11-1-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000-2200000000i3−i3i3−i31-11-10000
χ1222-22-2-22-22-121-1111-1-22-2-222-2-1-1001-1111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000-2200000000i3−i3i3−i31-11-10000-22-222-22-21-2-11-1-1-112-222-2-221100-11-1-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000002-200000000−i3i3−i3i3-11-110000
χ1232-22-2-22-22-121-1111-1-22-2-222-2-1-1001-1111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000002-200000000i3−i3i3−i3-11-110000-22-222-22-21-2-11-1-1-112-222-2-221100-11-1-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000-2200000000−i3i3−i3i31-11-10000
χ1242-22-2-22-22-121-1111-1-22-2-222-2-1-1001-1111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000-2200000000−i3i3−i3i31-11-10000-22-222-22-21-2-11-1-1-112-222-2-221100-11-1-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000002-200000000i3−i3i3−i3-11-110000
χ1252-2-222-2-2222-2-222-22-2-22-22-22-2200-2-222-22-200000000000000000000000000000000000000002i−2i00-222-2-222-2-2-222-2-22-222-22-22-22-20022-2-22-220000000000000000000000000000000000000000−2i2i00
χ1262-2-222-2-2222-2-222-22-2-22-22-22-2200-2-222-22-20000000000000000000000000000000000000000−2i2i00-222-2-222-2-2-222-2-22-222-22-22-22-20022-2-22-2200000000000000000000000000000000000000002i−2i00
χ1272-2-22-222-222-2-22-22-2-2-222-22-22200-2-22-22-22000000000000000000002-200000000002-2-2200000000-222-22-2-22-2-222-22-2222-2-22-22-2-20022-22-22-200000000000000000000-220000000000-222-200000000
χ1282-2-22-222-222-2-22-22-2-2-222-22-22200-2-22-22-2200000000000000000000-220000000000-222-200000000-222-22-2-22-2-222-22-2222-2-22-22-2-20022-22-22-2000000000000000000002-200000000002-2-2200000000
χ1292-2-22-222-2-1211-11-11-2-222-22-2-1-10011-11-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300002-20000000000-111-1−i3i3i3−i30000-222-22-2-221-2-1-11-11-122-2-22-221100-1-11-11-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000-2200000000001-1-11i3−i3−i3i30000
χ1302-2-22-222-2-1211-11-11-2-222-22-2-1-10011-11-11-10000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000-2200000000001-1-11i3−i3−i3i30000-222-22-2-221-2-1-11-11-122-2-22-221100-1-11-11-110000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300002-20000000000-111-1−i3i3i3−i30000
χ1312-2-22-222-2-1211-11-11-2-222-22-2-1-10011-11-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300002-20000000000-111-1i3−i3−i3i30000-222-22-2-221-2-1-11-11-122-2-22-221100-1-11-11-110000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000-2200000000001-1-11−i3i3i3−i30000
χ1322-2-22-222-2-1211-11-11-2-222-22-2-1-10011-11-11-10000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000-2200000000001-1-11−i3i3i3−i30000-222-22-2-221-2-1-11-11-122-2-22-221100-1-11-11-110000−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
χ1354444-4-4-4-4-24-2-2-2222444-4-4-4-42-200-2-2-2222200000000000000000000000000000000000000000000-4-4-4-444442-4222-2-2-2-4-4-44444-2200222-2-2-2-200000000000000000000000000000000000000000000
χ1364444-4-4-4-4-2-2-2-2-2222-2-2-222222100111-1-1-1-12323−23−230000−3−3−3−333330000000000000000000000000000-4-4-4-4444422222-2-2-2222-2-2-2-2-2-100-1-1-11111−23−23232300003333−3−3−3−30000000000000000000000000000
χ1374444-4-4-4-4-2-2-2-2-2222-2-2-222222100111-1-1-1-1−23−23232300003333−3−3−3−30000000000000000000000000000-4-4-4-4444422222-2-2-2222-2-2-2-2-2-100-1-1-111112323−23−230000−3−3−3−333330000000000000000000000000000
χ13844-4-444-4-4-2-2-222-222-22222-2-2-214-41-1-11-1-11-22-22-2-22211-1-111-1-10000000000000000000000000000-4-444-4-444222-2-22-2-22-2-2-2-2222-1-44-111-111-12-22-222-2-2-1-111-1-1110000000000000000000000000000
χ13944-4-444-4-4-2-2-222-222-22222-2-2-21-441-1-11-1-112-22-222-2-2-1-111-1-1110000000000000000000000000000-4-444-4-444222-2-22-2-22-2-2-2-2222-14-4-111-111-1-22-22-2-22211-1-111-1-10000000000000000000000000000
χ14044-4-4-4-444-24-2222-2-24-4-444-4-42-200-2222-2-2200000000000000000000000000000000000000000000-4-44444-4-42-42-2-2-222-444-4-444-22002-2-2-222-200000000000000000000000000000000000000000000
χ14144-4-4-4-444-2-2-2222-2-2-222-2-22221001-1-1-111-123−23−23230000−3−33333−3−30000000000000000000000000000-4-44444-4-4222-2-2-2222-2-222-2-2-2-100-1111-1-11−232323−23000033−3−3−3−3330000000000000000000000000000
χ14244-4-4-4-444-2-2-2222-2-2-222-2-22221001-1-1-111-1−232323−23000033−3−3−3−3330000000000000000000000000000-4-44444-4-4222-2-2-2222-2-222-2-2-2-100-1111-1-1123−23−23230000−3−33333−3−30000000000000000000000000000
χ1434-44-44-44-44-2-44-444-42-22-222-2-4-2002-22-2-22200000000000000000000000000000000000000000000-44-44-44-44-424-44-4-44-22-22-2-224200-22-222-2-200000000000000000000000000000000000000000000
χ1444-44-44-44-4-242-22-2-22-44-44-4-442-2002-22-2-22200000000000000000000000000000000000000000000-44-44-44-442-4-22-222-24-44-444-4-2200-22-222-2-200000000000000000000000000000000000000000000
χ1454-44-44-44-4-2-22-22-2-222-22-222-22100-11-111-1-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000-44-44-44-4422-22-222-2-22-22-2-22-2-1001-11-1-11100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000
χ1464-44-44-44-4-2-22-22-2-222-22-222-22100-11-111-1-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000-44-44-44-4422-22-222-2-22-22-2-22-2-1001-11-1-111000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000
χ1474-44-4-44-444-2-44-4-4-442-222-2-224-2002-2222-2-200000000000000000000000000000000000000000000-44-444-44-4-424-4444-4-22-2-222-2-4200-22-2-2-22200000000000000000000000000000000000000000000
χ1484-44-4-44-44-2-22-2222-22-222-2-22-2100-11-1-1-1110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000-44-444-44-422-22-2-2-22-22-2-222-22-1001-1111-1-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ1494-44-4-44-44-2-22-2222-22-222-2-22-2100-11-1-1-11100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000-44-444-44-422-22-2-2-22-22-2-222-22-1001-1111-1-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ1504-4-444-4-444-2-4-444-4422-22-22-2-4-20022-2-22-2200000000000000000000000000000000000000000000-444-4-444-4-4244-4-44-4-2-22-22-224200-2-222-22-200000000000000000000000000000000000000000000
χ1514-4-444-4-44-2422-2-22-2-4-44-44-442-20022-2-22-2200000000000000000000000000000000000000000000-444-4-444-42-4-2-222-2244-44-44-4-2200-2-222-22-200000000000000000000000000000000000000000000
χ1524-4-444-4-44-2-222-2-22-222-22-22-22100-1-111-11-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000-444-4-444-422-2-222-22-2-22-22-22-2-10011-1-11-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ1534-4-444-4-44-2-222-2-22-222-22-22-22100-1-111-11-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000-444-4-444-422-2-222-22-2-22-22-22-2-10011-1-11-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ1544-4-44-444-44-2-4-44-44-422-2-22-224-20022-22-22-200000000000000000000000000000000000000000000-444-44-4-44-4244-44-44-2-222-22-2-4200-2-22-22-2200000000000000000000000000000000000000000000
χ1554-4-44-444-4-2-222-22-2222-2-22-22-2100-1-11-11-110000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000-444-44-4-4422-2-22-22-2-2-222-22-22-10011-11-11-100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ1564-4-44-444-4-2-222-22-2222-2-22-22-2100-1-11-11-1100002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000-444-44-4-4422-2-22-22-2-2-222-22-22-10011-11-11-10000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000

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