Finite Group Databasebeta

← Group #11863790

Character table — Group #11863790

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order122233446666663666881212121212121212242424242424242424242424242424242244444466121212121212288222266446666666666881212121212121212242424242424242424242424242424242244444466121212121212288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1111-1-111-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-11-1-1-111-1-111-1-1-111111111111111111111111111111111111111111111-1-111-1-11-1-1-111-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1
χ9222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000220000000000-200
χ10222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200
χ1122222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000002-1-100-1-10000022222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000002-1-100-1-100000
χ1222222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000-21100110000022222-1222-1-122-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200000-211001100000
χ1322222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112200000-2-1-100110000022222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112200000-2-1-1001100000
χ1422222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-20000021100-1-10000022222-1222-1-122-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-20000021100-1-100000
χ152222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002000-1-100-1-10002222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002000-1-100-1-1000
χ162222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-20001100110002222-1222-122-1-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2000110011000
χ172222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111002200-20001100-1-10002222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111002200-20001100-1-1000
χ182222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-2002000-1-100110002222-1222-122-1-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111100-2-2002000-1-10011000
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χ202-22-22200-22-22-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i00000000000−222-22-22200-22-22-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i2i00000000000−22
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χ222-22-22200-22-22-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i000000000002−22-22-22200-22-22-2-222-2-2i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i2i000000000002−2
χ232-2-22222-2-2-2-2-2222-2-2200-2-2-2-2222200000000000000002-20000002-20000000002-2-22222-2-2-2-2-2222-2-2200-2-2-2-2222200000000000000002-20000002-2000000000
χ242-2-22222-2-2-2-2-2222-2-2200-2-2-2-222220000000000000000-22000000-220000000002-2-22222-2-2-2-2-2222-2-2200-2-2-2-222220000000000000000-22000000-22000000000
χ252-2-2222-22-2-2-2-2222-2-22002222-2-2-2-20000000000000000002-200000000002-20002-2-2222-22-2-2-2-2222-2-22002222-2-2-2-20000000000000000002-200000000002-2000
χ262-2-2222-22-2-2-2-2222-2-22002222-2-2-2-2000000000000000000-220000000000-220002-2-2222-22-2-2-2-2222-2-22002222-2-2-2-2000000000000000000-220000000000-22000
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χ342-2-22-12-221-2-21-12-111-100-12-1-11-211−33−330000−33−33−33−3300-220000003−3001-10002-2-22-12-221-2-21-12-111-100-12-1-11-211−33−330000−33−33−33−3300-220000003−3001-1000
χ3544444-2-4-44-2-244-2-2-2-2-200-4222-42220000000000000000000000000000000000044444-2-4-44-2-244-2-2-2-2-200-4222-422200000000000000000000000000000000000
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χ1214-4-444-2-44-422-44-2-222-2004-2-2-2-422200000000000000000000000000000000000-444-4-424-44-2-24-422-2-2200-42224-2-2-200000000000000000000000000000000000
χ1224-4-44-244-42-4-42-24-222-2002-422-24-2-200000000000000000000000000000000000-444-42-4-44-244-22-42-2-2200-24-2-22-42200000000000000000000000000000000000
χ1234-4-44-2-24-42222-2-21-1-110022-1-1-2-2110000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000-444-422-44-2-2-2-222-111-100-2-21122-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000
χ1244-4-44-2-24-42222-2-21-1-110022-1-1-2-21100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000-444-422-44-2-2-2-222-111-100-2-21122-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000
χ1254-4-44-2-2-442222-2-21-1-1100-2-21122-1-123−2323−230000−33−33−33−330000000000000000000-444-4224-4-2-2-2-222-111-10022-1-1-2-211−2323−232300003−33−33−33−30000000000000000000
χ1264-4-44-2-2-442222-2-21-1-1100-2-21122-1-1−2323−232300003−33−33−33−30000000000000000000-444-4224-4-2-2-2-222-111-10022-1-1-2-21123−2323−230000−33−33−33−330000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.