Finite Group Databasebeta

← Group #11800606

Character table — Group #11800606

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222222244444444444444446666888888812121212121212121212121212121212121212121212161616323232363636364848484896144
order12334668816161616361212242424244848484848484848241212122424484848486816162424323232324848484896969696969696964121212121232323232226662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ511111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-11-1-11-1
χ611111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11
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
χ112222222-2-200002222-2-2-2-20000000022222-2-200002-200-2-222−2−200002222−2−2−2−200000022−2−2000000
χ122222222-2-200002222-2-2-2-20000000022222-2-200002-200-2-2−2−2220000−2−2−2−22222000000−2−222000000
χ132222222-2-200002222-2-2-2-200000000-2-2-2-22-2-20000-22002222−2−200002222−2−2−2−2000000−2−222000000
χ142222222-2-200002222-2-2-2-200000000-2-2-2-22-2-20000-220022−2−2220000−2−2−2−2222200000022−2−2000000
χ152222-2220022−2−222-2-2000022−2−222−2−22-2-2-2-20022−2−2202−200−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ8622−2−2−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86000000−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86000000
χ162222-2220022−2−222-2-2000022−2−222−2−22-2-2-2-20022−2−2202−200ζ50−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
χ172222-2220022−2−222-2-2000022−2−222−2−2-2222-20022−2−2-20−2200−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−2−222−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86000000ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86000000
χ182222-2220022−2−222-2-2000022−2−222−2−2-2222-20022−2−2-20−2200ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−2−222ζ50−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+ζ86000000−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86000000
χ192222-22200−2−22222-2-20000−2−222−2−2222-2-2-2-200−2−22220−2200ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−2−222ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94000000ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94000000
χ202222-22200−2−22222-2-20000−2−222−2−2222-2-2-2-200−2−22220−2200−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94−2−222−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94000000−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94000000
χ212222-22200−2−22222-2-20000−2−222−2−222-2222-200−2−222-202−200ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ9422−2−2ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94000000−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94000000
χ222222-22200−2−22222-2-20000−2−222−2−222-2222-200−2−222-202−200−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ9422−2−2−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94000000ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94000000
χ23222-122-1222222-1-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-1-10000-1-1-1-1000000002-1-12-1-1000020-1-100
χ24222-122-1222222-1-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-1-10000-1-1-1-100000000-211-2110000-201100
χ25222-122-1222222-1-12-122-1-1-1-1-1-12222-2-211-1-1-1-1-1-1-11-2-2-21100001111000000002-1-12-1-10000-201100
χ26222-122-1222222-1-12-122-1-1-1-1-1-12222-2-211-1-1-1-1-1-1-11-2-2-2110000111100000000-211-211000020-1-100
χ27222-122-122-2-2-2-2-1-12-122-1-11111-2-2-2-222-1-1-1-1-11111-12-2-2-1-100001111000000000−i3i30−i3i3000000−i3i300
χ28222-122-122-2-2-2-2-1-12-122-1-11111-2-2-2-222-1-1-1-1-11111-12-2-2-1-100001111000000000i3−i30i3−i3000000i3−i300
χ29222-122-122-2-2-2-2-1-12-122-1-11111-2-2-2-2-2-211-1-1-111111-222110000-1-1-1-1000000000−i3i30−i3i3000000i3−i300
χ30222-122-122-2-2-2-2-1-12-122-1-11111-2-2-2-2-2-211-1-1-111111-222110000-1-1-1-1000000000i3−i30i3−i3000000−i3i300
χ3122-122-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-100000022220000-1-1-1-1-1-1-1-1222-1-1-100000200-10
χ3222-122-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-100000022220000-1-1-1-1-1-1-1-1-2-2-211100000-20010
χ3322-122-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-1000000-2-2-2-2000011111111222-1-1-100000-20010
χ3422-122-12222222-1-1-12-1-1222222-1-1-1-10000-1-1-1-1-1-1-1000000-2-2-2-2000011111111-2-2-211100000200-10
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χ36444-244-2-4-40000-2-24-2-4-42200000000-4-422-22200002400-2-200000000000000000000000000000000
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χ38444-2-44-2002222−22−22-2-2-420000−2−2222222−22−22-44-2-2200−2−22220−222200000022−2−2000000000000000000000000
χ39444-2-44-200−22−222222-2-2-42000022−2−2−22−2222224-42220022−2−2-20−222200000022−2−2000000000000000000000000
χ40444-2-44-200−22−222222-2-2-42000022−2−2−22−222222-44-2-220022−2−22022−22000000−2−222000000000000000000000000
χ4144-244-2444-4-4-4-4-2-2-24-2-244-4-4-4-422220000-2-2-2222200000000000000000000000000000000000000
χ4244-244-24-4-40000-2-2-2422-4-4000000000000-22200000000002222−22−220000−2−2−2−222220000000000000000
χ4344-244-24-4-40000-2-2-2422-4-4000000000000-2220000000000−22−22222200002222−2−2−2−20000000000000000
χ4444-24-4-24002222−22−22-2-22-400002222−22−22−2−2220000200−2−222000000−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ860000ζ50−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+ζ860000000000000000
χ4544-24-4-24002222−22−22-2-22-400002222−22−22−2−2220000200−2−2220000002ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ860000−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ860000000000000000
χ4644-24-4-2400−22−222222-2-22-40000−22−22222222−2−2000020022−2−20000002ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ940000−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ94ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ940000000000000000
χ4744-24-4-2400−22−222222-2-22-40000−22−22222222−2−2000020022−2−2000000−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ940000ζ22−ζ26−ζ58+ζ86ζ22−ζ26−ζ58+ζ86−ζ22+ζ26+ζ58−ζ86−ζ22+ζ26+ζ58−ζ86ζ50−ζ62+ζ82−ζ94ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ50+ζ62−ζ82+ζ940000000000000000
χ4844-2-24-2-244444411-2-2-2-2-2-2-2-2-2-2-2-2-2-20000111111100000000000000000000004-2-2-2110000000000
χ4944-2-24-2-244444411-2-2-2-2-2-2-2-2-2-2-2-2-2-2000011111110000000000000000000000-4222-1-10000000000
χ5044-2-24-2-244-4-4-4-411-2-2-2-2-2-2222222220000111-1-1-1-100000000000000000000000−2i32i30i3−i30000000000
χ5144-2-24-2-244-4-4-4-411-2-2-2-2-2-2222222220000111-1-1-1-1000000000000000000000002i3−2i30−i3i30000000000
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
χ534-4440-4-422−222ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ864-40022−2222−222ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ860000022−222ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ8600000000000000000000000000000000000000
χ544-4440-4-4−22222ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ944-400−2222−22222ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ9400000−22222ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ862ζ50−2ζ62+2ζ82−2ζ94−2ζ50+2ζ62−2ζ82+2ζ9400000000000000000000000000000000000000
χ554-4440-4-4−2222−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ944-400−2222−2222−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ94−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ9400000−2222−2ζ22+2ζ26+2ζ58−2ζ862ζ22−2ζ26−2ζ58+2ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ9400000000000000000000000000000000000000
χ564-44-20-4222−22−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ86-220022−22−22ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ86−2ζ50+2ζ62−2ζ82+2ζ942ζ50−2ζ62+2ζ82−2ζ942ζ22−2ζ26−2ζ58+2ζ86−2ζ22+2ζ26+2ζ58−2ζ860023−230−22ζ50−ζ62+ζ82−ζ94−ζ50+ζ62−ζ82+ζ94−ζ22+ζ26+ζ58−ζ86ζ22−ζ26−ζ58+ζ8600006−60000−ζ50−ζ62+ζ82+ζ94ζ50+ζ62−ζ82−ζ94−ζ22+ζ26−ζ58+ζ86ζ22−ζ26+ζ58−ζ86000000000000000000000000
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Here ζ is a primitive root of unity of order 96 (ζ96 = 1); i = ζ24.