Finite Group Databasebeta

← Group #13150879

Character table — Group #13150879

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order12222234466646612121212336666666666121212123666666666121212121212121212121212121222222244222244446666666666121212121212661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-1-11-1111111-1-1-1-111-1-1-1-11-11-1
χ61111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-11-1-11111-1-1-1-1-1-11111-11-11
χ71111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1111-1-1-1-1111111-1-1-1-1-11-11
χ81111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1111-1-1-1-1-1-1-11111-1-111111-11-1
χ91111-1-1111111-1-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-11111-1-1
χ101111-1-1111111-1-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-111
χ111111-1-1111111-1-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-111-1-111-1-1-1-111-1-111
χ121111-1-1111111-1-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ131111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-1111111-1-111-1-1-111-11-1-111111-1-1-1-111-1-111-1-11-1-11
χ141111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-111-11-11-111-1-1-111-1-1-1-11111-1-111-111-1
χ151111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-11111-1-11111-1-11-1-111-11-111-1-11111-1-1-1-111-1-1-111-1
χ161111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-11111-1-111-1-1111-11-1-11-11-1-1-1-11111-1-111-1-1111-1-11
χ1722222222222222222222-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200002200000000-1-1-1-1-1-1-1-10000000000
χ1822222222222222222222-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200000000111111110000000000
χ192222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000222200002200-1-100000000-1-1-1-1-1-10000
χ202222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20011000000001111110000
χ212222222-2-2222-222-2-2-2-22-1-1-1-1-1-1-1-1222-2-2-2-2-122-1-1-1-1-1-1-11111-2-21111111122-2-200002-200000000-1-1-1-111110000000000
χ222222222-2-2222-222-2-2-2-22-1-1-1-1-1-1-1-1222-2-2-2-2-122-1-1-1-1-1-1-11111-2-211111111-2-2220000-22000000001111-1-1-1-10000000000
χ232222222-2-2222-222-2-2-2-2-122222222-1-1-11111-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111000022220000-2-200-1-100000000-1-111110000
χ242222222-2-2222-222-2-2-2-2-122222222-1-1-11111-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111110000-2-2-2-200002200110000000011-1-1-1-10000
χ252222-2-2222222-2-2-222-2-22-1-1-11111-12222222-1-2-2-1-11111-1-1-111-2-2-1-1-1-1111122220000-2-200000000-1-111-1-1110000000000
χ262222-2-2222222-2-2-222-2-22-1-1-11111-12222222-1-2-2-1-11111-1-1-111-2-2-1-1-1-11111-2-2-2-20000220000000011-1-111-1-10000000000
χ272222-2-2222222-2-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-111-1-11111-122-2-211-1-1-1-11111000022-2-20000-2200-1-1000000001111-1-10000
χ282222-2-2222222-2-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-111-1-11111-122-2-211-1-1-1-111110000-2-22200002-2001100000000-1-1-1-1110000
χ292222-2-22-2-22222-2-2-2-2222-1-1-11111-1222-2-2-2-2-1-2-2-1-11111-111-1-1221111-1-1-1-122-2-20000-2200000000-1-11111-1-10000000000
χ302222-2-22-2-22222-2-2-2-2222-1-1-11111-1222-2-2-2-2-1-2-2-1-11111-111-1-1221111-1-1-1-1-2-22200002-20000000011-1-1-1-1110000000000
χ312222-2-22-2-22222-2-2-2-222-1222-2-2-2-22-1-1-11111-111-1-11111-1-2-222-1-11111-1-1-1-1000022-2-200002-200-1-10000000011-1-1110000
χ322222-2-22-2-22222-2-2-2-222-1222-2-2-2-22-1-1-11111-111-1-11111-1-2-222-1-11111-1-1-1-10000-2-2220000-22001100000000-1-111-1-10000
χ332-22-20022-2-22-20002-20022-2-200002-2-2222-2-2200-2-2000022-2000022-2-200002-22-2000000000000002-2002-2000000000000
χ342-22-20022-2-22-20002-20022-2-200002-2-2222-2-2200-2-2000022-2000022-2-20000-22-2200000000000000-2200-22000000000000
χ352-22-20022-2-22-20002-2002-111−i3−i3i3i3-1-2-2222-2-2-10011−i3−i3i3i3-1-11−i3i300-1-111−i3−i3i3i32-22-200000000000000-11−i3i3-11−i3i30000000000
χ362-22-20022-2-22-20002-2002-111−i3−i3i3i3-1-2-2222-2-2-10011−i3−i3i3i3-1-11−i3i300-1-111−i3−i3i3i3-22-22000000000000001-1i3−i31-1i3−i30000000000
χ372-22-20022-2-22-20002-2002-111i3i3−i3−i3-1-2-2222-2-2-10011i3i3−i3−i3-1-11i3−i300-1-111i3i3−i3−i32-22-200000000000000-11i3−i3-11i3−i30000000000
χ382-22-20022-2-22-20002-2002-111i3i3−i3−i3-1-2-2222-2-2-10011i3i3−i3−i3-1-11i3−i300-1-111i3i3−i3−i3-22-22000000000000001-1−i3i31-1−i3i30000000000
χ392-22-2002-22-22-2000-220022-2-200002-2-22-2-222200-2-200002-220000-2-22200002-2-22000000000000002-200-22000000000000
χ402-22-2002-22-22-2000-220022-2-200002-2-22-2-222200-2-200002-220000-2-2220000-222-200000000000000-22002-2000000000000
χ412-22-2002-22-22-2000-22002-111−i3−i3i3i3-1-2-22-2-222-10011−i3−i3i3i3-11-1i3−i30011-1-1i3i3−i3−i32-2-2200000000000000-11−i3i31-1i3−i30000000000
χ422-22-2002-22-22-2000-22002-111−i3−i3i3i3-1-2-22-2-222-10011−i3−i3i3i3-11-1i3−i30011-1-1i3i3−i3−i3-222-2000000000000001-1i3−i3-11−i3i30000000000
χ432-22-2002-22-22-2000-22002-111i3i3−i3−i3-1-2-22-2-222-10011i3i3−i3−i3-11-1−i3i30011-1-1−i3−i3i3i32-2-2200000000000000-11i3−i31-1−i3i30000000000
χ442-22-2002-22-22-2000-22002-111i3i3−i3−i3-1-2-22-2-222-10011i3i3−i3−i3-11-1−i3i30011-1-1−i3−i3i3i3-222-2000000000000001-1−i3i3-11i3−i30000000000
χ452-2-222-2200-2-2202-20000222-22-22-2-22-2-2000022-22-22-22-2-20000000000000000002-22-2000000002-2000000002-200000000
χ462-2-222-2200-2-2202-20000222-22-22-2-22-2-2000022-22-22-22-2-2000000000000000000-22-2200000000-2200000000-2200000000
χ472-2-222-2200-2-2202-20000-122-22-22-2-2-1113−33−3-1-11-11-11-11100003−33−33−33−33−300002-22-200000000-1100000000-113−33−30000
χ482-2-222-2200-2-2202-20000-122-22-22-2-2-1113−33−3-1-11-11-11-11100003−33−33−33−33−30000-22-22000000001-1000000001-1−33−330000
χ492-2-222-2200-2-2202-20000-122-22-22-2-2-111−33−33-1-11-11-11-1110000−33−33−33−33−3300002-22-200000000-1100000000-11−33−330000
χ502-2-222-2200-2-2202-20000-122-22-22-2-2-111−33−33-1-11-11-11-1110000−33−33−33−33−330000-22-22000000001-1000000001-13−33−30000
χ512-2-22-22200-2-220-220000222-2-22-22-22-2-200002-222-2-22-22-20000000000000000002-2-22000000002-200000000-2200000000
χ522-2-22-22200-2-220-220000222-2-22-22-22-2-200002-222-2-22-22-2000000000000000000-222-200000000-22000000002-200000000
χ532-2-22-22200-2-220-220000-122-2-22-22-2-1113−33−3-11-1-111-11-110000−333−33−3−33−3300002-2-2200000000-11000000001-1−333−30000
χ542-2-22-22200-2-220-220000-122-2-22-22-2-1113−33−3-11-1-111-11-110000−333−33−3−33−330000-222-2000000001-100000000-113−3−330000
χ552-2-22-22200-2-220-220000-122-2-22-22-2-111−33−33-11-1-111-11-1100003−3−33−333−33−300002-2-2200000000-11000000001-13−3−330000
χ562-2-22-22200-2-220-220000-122-2-22-22-2-111−33−33-11-1-111-11-1100003−3−33−333−33−30000-222-2000000001-100000000-11−333−30000
χ574444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ584444444-4-4444-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-222221-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-4-4444444-4-4-444-4-4-2-2-2-22222-2-2-2-2-2-2-2-212211-1-1-1-11-2-222221111-1-1-1-1000000000000000000000000000000000000
χ604444-4-44-4-44444-4-4-4-444-2-2-2-22222-2-2-2-2222212211-1-1-1-1122-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
χ6144-4-4004004-4-4000000044-440000-4-44-40000400-440000-400000000000000000000000000000000000000000000000000
χ6244-4-4004004-4-400000004-22-2−2i32i32i3−2i32-44-40000-2002-2−2i32i32i3−2i3200000000000000000000000000000000000000000000000000
χ6344-4-4004004-4-400000004-22-22i3−2i3−2i32i32-44-40000-2002-22i3−2i3−2i32i3200000000000000000000000000000000000000000000000000
χ6444-4-4004004-4-40000000-24-440000-42-2223−23−2323-2002-20000200000023−23−23230000000000000000000000000000000000000000
χ6544-4-4004004-4-40000000-24-440000-42-22−232323−23-2002-200002000000−232323−230000000000000000000000000000000000000000
χ6644-4-4004004-4-40000000-2-22-2−2i32i32i3−2i322-2223−23−2323100-11i3−i3−i3i3-1000000−333−3−3i3i3i−3i000000000000000000000000000000000000
χ6744-4-4004004-4-40000000-2-22-2−2i32i32i3−2i322-22−232323−23100-11i3−i3−i3i3-10000003−3−333i−3i−3i3i000000000000000000000000000000000000
χ6844-4-4004004-4-40000000-2-22-22i3−2i3−2i32i322-2223−23−2323100-11−i3i3i3−i3-1000000−333−33i−3i−3i3i000000000000000000000000000000000000
χ6944-4-4004004-4-40000000-2-22-22i3−2i3−2i32i322-22−232323−23100-11−i3i3i3−i3-10000003−3−33−3i3i3i−3i000000000000000000000000000000000000
χ704-44-40044-4-44-40004-400-24-4-40000422-2-2-222-200220000-24-40000-2-2220000000000000000000000000000000000000000
χ714-44-40044-4-44-40004-400-2-222−2i3−2i32i32i3-222-2-2-222100-1-1i3i3−i3−i31-22−2i32i30011-1-1i3i3−i3−i3000000000000000000000000000000000000
χ724-44-40044-4-44-40004-400-2-2222i32i3−2i3−2i3-222-2-2-222100-1-1−i3−i3i3i31-222i3−2i30011-1-1−i3−i3i3i3000000000000000000000000000000000000
χ734-44-4004-44-44-4000-4400-24-4-40000422-222-2-2-200220000-2-44000022-2-20000000000000000000000000000000000000000
χ744-44-4004-44-44-4000-4400-2-222−2i3−2i32i32i3-222-222-2-2100-1-1i3i3−i3−i312-22i3−2i300-1-111−i3−i3i3i3000000000000000000000000000000000000
χ754-44-4004-44-44-4000-4400-2-2222i32i3−2i3−2i3-222-222-2-2100-1-1−i3−i3i3i312-2−2i32i300-1-111i3i3−i3−i3000000000000000000000000000000000000
χ764-4-444-4400-4-4404-400004-2-22-22-2224-4-40000-24-4-22-22-22200000000000000000000000000000000000000000000000000
χ774-4-444-4400-4-4404-40000-2-2-22-22-222-22223−2323−231-221-11-11-1-1000023−23−33−33−33−33000000000000000000000000000000000000
χ784-4-444-4400-4-4404-40000-2-2-22-22-222-222−2323−23231-221-11-11-1-10000−23233−33−33−33−3000000000000000000000000000000000000
χ794-4-44-44400-4-440-4400004-2-222-22-224-4-40000-2-44-222-22-2200000000000000000000000000000000000000000000000000
χ804-4-44-44400-4-440-440000-2-2-222-22-22-22223−2323−2312-21-1-11-11-10000−2323−33−333−33−3000000000000000000000000000000000000
χ814-4-44-44400-4-440-440000-2-2-222-22-22-222−2323−232312-21-1-11-11-1000023−233−33−3−33−33000000000000000000000000000000000000
χ82666666-366-3-3-36-3-3-3-3-3-3000000000000000000000000000000000000000000000000002200220000000000000000-1-1-1-1
χ83666666-366-3-3-36-3-3-3-3-3-300000000000000000000000000000000000000000000000000-2-200-2-200000000000000001111
χ84666666-3-6-6-3-3-3-6-3-33333000000000000000000000000000000000000000000000000002-2002-20000000000000000-11-11
χ85666666-3-6-6-3-3-3-6-3-3333300000000000000000000000000000000000000000000000000-2200-2200000000000000001-11-1
χ866666-6-6-366-3-3-3-633-3-333000000000000000000000000000000000000000000000000002200-2-20000000000000000-1-111
χ876666-6-6-366-3-3-3-633-3-33300000000000000000000000000000000000000000000000000-2-20022000000000000000011-1-1
χ886666-6-6-3-6-6-3-3-363333-3-3000000000000000000000000000000000000000000000000002-200-220000000000000000-111-1
χ896666-6-6-3-6-6-3-3-363333-3-300000000000000000000000000000000000000000000000000-22002-200000000000000001-1-11
χ901212-12-1200-600-6660000063−630000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-1200-600-66600000−63630000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-1200-612-126-66000-66000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-1200-6-12126-660006-6000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121212-12-60066-60-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-1212-1212-60066-606-600000000000000000000000000000000000000000000000000000000000000000000000000000000

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