Finite Group Databasebeta

← Group #11800629

Character table — Group #11800629

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222222244444444444444446666888888812121212121212121212121212121212121212121212161616323232363636364848484896144
order123346688161616163612122424242448484848484848482466122424484848488121616242432323232484848489696969696969696412121212123232323224121264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11-1-1-11-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11
χ711111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11
χ811111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ9222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222222-2-2-2-222-2-2220000-2-2-2-2000000000000000000000000
χ10222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-200002222000000000000000000000000
χ112222222-2-200002222-2-2-2-20000000022222-2-20000-2200-2-222−2−200002222−2−2−2−200000022−2−2000000
χ122222222-2-200002222-2-2-2-20000000022222-2-20000-2200-2-2−2−2220000−2−2−2−22222000000−2−222000000
χ132222222-2-200002222-2-2-2-200000000-2-2-2-22-2-200002-2002222−2−200002222−2−2−2−2000000−2−222000000
χ142222222-2-200002222-2-2-2-200000000-2-2-2-22-2-200002-20022−2−2220000−2−2−2−2222200000022−2−2000000
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χ162222-2220022−2−222-2-2000022−2−222−2−22-222-20022−2−20-22−200ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ8622−2−2ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86000000ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86000000
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χ23222-12-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-100000022220000-1-1-1-1-1-1-1-1222-1-1-100002000-10
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χ25222-12-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-1000000-2-2-2-2000011111111222-1-1-10000-200010
χ26222-12-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-1000000-2-2-2-2000011111111-2-2-211100002000-10
χ2722-1222-1222222-1-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12-122-1-10000-1-1-1-1000000002-1-12-1-1000002-1-100
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χ3122-1222-122-2-2-2-2-1-12-122-1-11111-2-2-2-222-1-1-1-1-111112-1-2-2-1-100001111000000000−i3i30−i3i3000000−i3i300
χ3222-1222-122-2-2-2-2-1-12-122-1-11111-2-2-2-222-1-1-1-1-111112-1-2-2-1-100001111000000000i3−i30i3−i3000000i3−i300
χ3322-1222-122-2-2-2-2-1-12-122-1-11111-2-2-2-2-2-211-1-1-11111-2122110000-1-1-1-1000000000−i3i30−i3i3000000i3−i300
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χ524-4440-4-422−22−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ864-40022−2222−22−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ860000022−22−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ8600000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 96 (ζ96 = 1); i = ζ24.