Finite Group Databasebeta

← Group #11790626

Character table — Group #11790626

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order12224444443366666612121212121212121212121288888888888888881212121212122222242424242424242424242424242424244444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-111-1-1ii−i−i
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-111−i−iii
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-111-1-1−i−iii
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-111ii−i−i
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111111-11-11-11-1i−ii−i
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-11-11-11-11−ii−ii
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111111-11-11-11-1−ii−ii
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-11-11-11-11i−ii−i
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-111-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-11-111-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-111-11-1-11
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-222220000000000000000-2-222-2-2000000000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-22222000000000000000022-2-2-2-2000000000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222-2-2-2-200000000000000002222-2-2000000000000
χ2122-2-2002-2002222-2-2-2-2000022-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-2002-2-22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-20000000000000000
χ2222-2-2002-2002222-2-2-2-2000022-2-2000022−2−2−2−22222−2−2−2−222002-200-222-222−2−2−2−22222−2−2−2−222-220000000000000000
χ2322-2-2002-2002222-2-2-2-2000022-2-20000−2−22222−2−2−2−22222−2−2002-200-222-2−2−22222−2−2−2−22222−2−2-220000000000000000
χ2422-2-2002-2002222-2-2-2-2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-2002-2-22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-20000000000000000
χ2522-2-200-22002222-2-2-2-20000-2-2220000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200-22002-2-22i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-220000000000000000
χ2622-2-200-22002222-2-2-2-20000-2-222000022−2−222−2−2−2−222−2−22200-2200-222-222−2−222−2−2−2−222−2−2222-20000000000000000
χ2722-2-200-22002222-2-2-2-20000-2-2220000−2−222−2−22222−2−222−2−200-2200-222-2−2−222−2−22222−2−222−2−22-20000000000000000
χ2822-2-200-22002222-2-2-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200-22002-2-22−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-220000000000000000
χ292-22-22-2000022-2-222-2-222-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20000-22-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-200000000000000
χ302-22-22-2000022-2-222-2-222-2-2000000002−22−22−22−2−22−22−22−222-200002-22-22−22−22−22−2−22−22−22−2200-2200000000000000
χ312-22-22-2000022-2-222-2-222-2-200000000−22−22−22−222−22−22−22−22-200002-22-2−22−22−22−222−22−22−22−200-2200000000000000
χ322-22-22-2000022-2-222-2-222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20000-22-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-200000000000000
χ332-22-2-22000022-2-222-2-2-2-22200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-220000-22-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200-2200000000000000
χ342-22-2-22000022-2-222-2-2-2-222000000002−22−2−22−222−22−2−22−22-2200002-22-22−22−2−22−222−22−2−22−22002-200000000000000
χ352-22-2-22000022-2-222-2-2-2-22200000000−22−222−22−2−22−222−22−2-2200002-22-2−22−222−22−2−22−222−22−2002-200000000000000
χ362-22-2-22000022-2-222-2-2-2-22200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-220000-22-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200-2200000000000000
χ372-2-2200002-222-2-2-2-2220000000022-2-200002i−2i−2i2i−2i2i2i−2i000000002-222-2-200002i−2i−2i2i−2i2i2i−2i000000002-2000000000000
χ382-2-2200002-222-2-2-2-2220000000022-2-20000−2i2i2i−2i2i−2i−2i2i000000002-222-2-20000−2i2i2i−2i2i−2i−2i2i000000002-2000000000000
χ392-2-2200002-222-2-2-2-2220000000022-2-22-2-22000000002-2-2200002-2-2-2222-2-22000000002-2-220000-22000000000000
χ402-2-2200002-222-2-2-2-2220000000022-2-2-222-200000000-222-200002-2-2-222-222-200000000-222-20000-22000000000000
χ412-2-220000-2222-2-2-2-22200000000-2-22200002-2-222-2-2200000000-22-2-22200002-2-222-2-22000000002-2000000000000
χ422-2-220000-2222-2-2-2-22200000000-2-2220000-222-2-222-200000000-22-2-2220000-222-2-222-2000000002-2000000000000
χ432-2-220000-2222-2-2-2-22200000000-2-2222i−2i−2i2i00000000−2i2i2i−2i0000-2222-2-22i−2i−2i2i00000000−2i2i2i−2i0000-22000000000000
χ442-2-220000-2222-2-2-2-22200000000-2-222−2i2i2i−2i000000002i−2i−2i2i0000-2222-2-2−2i2i2i−2i000000002i−2i−2i2i0000-22000000000000
χ4544444444441-21-21-21-21111111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-21-21-21-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-21-21-21-2-2-2-2-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-21-21-21-2-2-2-2-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-21-21-21-21111-1-1-1-1-1-1-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222220000−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ50444444-4-4-4-41-21-21-21-21111-1-1-1-1-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222220000iiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ51444444-4-4-4-4-21-21-21-21-2-2-2-222222222000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ52444444-4-4-4-4-21-21-21-21-2-2-2-222222222000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ534444-4-444-4-41-21-21-21-2-1-1-1-11111-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2220000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ544444-4-444-4-41-21-21-21-2-1-1-1-11111-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2220000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ554444-4-444-4-4-21-21-21-212222-2-2-2-222220000000000000000-1-111-1-1000000000000000000000000002-22-2-11-110000
χ564444-4-444-4-4-21-21-21-212222-2-2-2-222220000000000000000-1-111-1-100000000000000000000000000-22-221-11-10000
χ574444-4-4-4-4441-21-21-21-2-1-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-222222222-2-20000-1-1-1-111111111-1-1-1-1000000000000000000
χ584444-4-4-4-4441-21-21-21-2-1-1-1-1-1-1-1-11111-2-2-2-222222222-2-2-2-22222-2-200001111-1-1-1-1-1-1-1-11111000000000000000000
χ594444-4-4-4-444-21-21-21-2122222222-2-2-2-20000000000000000-1-1-1-111000000000000000000000000002-2-22-111-10000
χ604444-4-4-4-444-21-21-21-2122222222-2-2-2-20000000000000000-1-1-1-11100000000000000000000000000-222-21-1-110000
χ6144-4-4004-4001-21-2-12-123i−3i3i−3i11-1-13i−3i3i−3i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300-22000000−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3000000000000000000
χ6244-4-4004-4001-21-2-12-123i−3i3i−3i11-1-13i−3i3i−3i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300-22000000ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3000000000000000000
χ6344-4-4004-4001-21-2-12-12−3i3i−3i3i11-1-1−3i3i−3i3i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00-22000000−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ000000000000000000
χ6444-4-4004-4001-21-2-12-12−3i3i−3i3i11-1-1−3i3i−3i3i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00-22000000ζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ000000000000000000
χ6544-4-400-44001-21-2-12-123i−3i3i−3i-1-111−3i3i−3i3i2ζ32ζ3−2ζ3−2ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ2ζ−2ζ−2ζ002-2000000−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ000000000000000000
χ6644-4-400-44001-21-2-12-123i−3i3i−3i-1-111−3i3i−3i3i−2ζ3−2ζ32ζ32ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ−2ζ2ζ2ζ002-2000000ζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ000000000000000000
χ6744-4-400-44001-21-2-12-12−3i3i−3i3i-1-1113i−3i3i−3i2ζ2ζ−2ζ−2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ32ζ3−2ζ3−2ζ3002-2000000−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3000000000000000000
χ6844-4-400-44001-21-2-12-12−3i3i−3i3i-1-1113i−3i3i−3i−2ζ−2ζ2ζ2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ3−2ζ32ζ32ζ3002-2000000ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3000000000000000000
χ694-44-44-400001-2-121-2-1211-1-13i−3i3i−3i3i−3i−3i3i2ζ−2ζ2ζ−2ζ2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ3-2200000000−ζζ−ζζ−ζζ−ζζ−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζ3ζ3000000000000000000
χ704-44-44-400001-2-121-2-1211-1-13i−3i3i−3i3i−3i−3i3i−2ζ2ζ−2ζ2ζ−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3-2200000000ζ−ζζ−ζζ−ζζ−ζζ3−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζ3000000000000000000
χ714-44-44-400001-2-121-2-1211-1-1−3i3i−3i3i−3i3i3i−3i2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ−2ζ2ζ−2ζ-2200000000−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζζ−ζζ−ζζ−ζζ000000000000000000
χ724-44-44-400001-2-121-2-1211-1-1−3i3i−3i3i−3i3i3i−3i−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ2ζ−2ζ2ζ-2200000000ζ3−ζ3ζ3−ζ3ζ3−ζ3ζ3−ζ3ζ−ζζ−ζζ−ζζ−ζ000000000000000000
χ734-44-4-4400001-2-121-2-12-1-1113i−3i3i−3i−3i3i3i−3i2ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ−2ζ2ζ−2ζ2-200000000−ζ3ζ3−ζ3ζ3ζ3−ζ3ζ3−ζ3ζ−ζζ−ζ−ζζ−ζζ000000000000000000
χ744-44-4-4400001-2-121-2-12-1-1113i−3i3i−3i−3i3i3i−3i−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ2ζ−2ζ2ζ2-200000000ζ3−ζ3ζ3−ζ3−ζ3ζ3−ζ3ζ3−ζζ−ζζζ−ζζ−ζ000000000000000000
χ754-44-4-4400001-2-121-2-12-1-111−3i3i−3i3i3i−3i−3i3i2ζ−2ζ2ζ−2ζ−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ3−2ζ32-200000000−ζζ−ζζζ−ζζ−ζζ3−ζ3ζ3−ζ3−ζ3ζ3−ζ3ζ3000000000000000000
χ764-44-4-4400001-2-121-2-12-1-111−3i3i−3i3i3i−3i−3i3i−2ζ2ζ−2ζ2ζ2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32-200000000ζ−ζζ−ζ−ζζ−ζζ−ζ3ζ3−ζ3ζ3ζ3−ζ3ζ3−ζ3000000000000000000
χ774-4-4400004-41-2-12-121-23i−3i−3i3i−3i3i3i−3i11-1-12-2-222i−2i−2i2i−2i2i2i−2i2-2-220000-220000-111-1−iii−ii−i−ii-111-1000000000000000000
χ784-4-4400004-41-2-12-121-23i−3i−3i3i−3i3i3i−3i11-1-1-222-2−2i2i2i−2i2i−2i−2i2i-222-20000-2200001-1-11i−i−ii−iii−i1-1-11000000000000000000
χ794-4-4400004-41-2-12-121-2−3i3i3i−3i3i−3i−3i3i11-1-12-2-22−2i2i2i−2i2i−2i−2i2i2-2-220000-220000-111-1i−i−ii−iii−i-111-1000000000000000000
χ804-4-4400004-41-2-12-121-2−3i3i3i−3i3i−3i−3i3i11-1-1-222-22i−2i−2i2i−2i2i2i−2i-222-20000-2200001-1-11−iii−ii−i−ii1-1-11000000000000000000
χ814-4-440000-441-2-12-121-23i−3i−3i3i3i−3i−3i3i-1-1112i−2i−2i2i-222-2-222-2−2i2i2i−2i00002-20000−iii−i1-1-111-1-11i−i−ii000000000000000000
χ824-4-440000-441-2-12-121-23i−3i−3i3i3i−3i−3i3i-1-111−2i2i2i−2i2-2-222-2-222i−2i−2i2i00002-20000i−i−ii-111-1-111-1−iii−i000000000000000000
χ834-4-440000-441-2-12-121-2−3i3i3i−3i−3i3i3i−3i-1-1112i−2i−2i2i2-2-222-2-22−2i2i2i−2i00002-20000−iii−i-111-1-111-1i−i−ii000000000000000000
χ844-4-440000-441-2-12-121-2−3i3i3i−3i−3i3i3i−3i-1-111−2i2i2i−2i-222-2-222-22i−2i−2i2i00002-20000i−i−ii1-1-111-1-11−iii−i000000000000000000
χ8588-8-8008-800-42-424-24-20000-4-44400000000000000000000002-20000000000000000000000000000000000000000
χ8688-8-800-8800-42-424-24-2000044-4-40000000000000000000000-220000000000000000000000000000000000000000
χ878-88-88-80000-424-2-424-2-4-4440000000000000000000000002-2000000000000000000000000000000000000000000
χ888-88-8-880000-424-2-424-244-4-4000000000000000000000000-22000000000000000000000000000000000000000000
χ898-8-8800008-8-424-24-2-4200000000-4-444000000000000000000002-200000000000000000000000000000000000000
χ908-8-880000-88-424-24-2-420000000044-4-400000000000000000000-2200000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.