Finite Group Databasebeta

← Group #13169334

Character table — Group #13169334

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order1222333446666666661212121233366666666612121212121212121212121244441212121236661212121212124444121212121212121212121212121212121212121212121212121212121212121212124444441212121212124441212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111111-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-11-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-111-1-1-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-11-1-111-1-1111-1-1-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-111-1-11-11-1-11111-1-1-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-111-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-111-1-111-1-1-111-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-11-1-1111-11-1-11111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1111-111-1-1-1-1111-1-1-1-111-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-11-1-111-11-111-1-111-1-11-1-11
χ17222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-1202200-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-10000000000222222-1-1-1-10000000-1-1-1-10000
χ18222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-120-2-200-1-111112222000000-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-21111000000011110000
χ19222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-20220011-1-1-1-1-2-2-2-2000000111111110000000000-2-2-2-222-1-1-1-1000000011110000
χ20222222-122222-1-122-1222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-20-2-200111111-2-2-2-20000001111111100000000002222-2-211110000000-1-1-1-10000
χ21222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-1111111-202-20011-1-11122-2-2000000-1-1-1-11111000000000022-2-22-2-1-1110000000-1-1110000
χ22222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-1111111-20-22001111-1-122-2-2000000-1-1-1-111110000000000-2-222-2211-1-1000000011-1-10000
χ23222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-1111111202-200-1-1-1-111-2-2220000001111-1-1-1-10000000000-2-2222-2-1-111000000011-1-10000
χ24222222-1-2-2222-1-122-12-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-111111120-2200-1-111-1-1-2-2220000001111-1-1-1-1000000000022-2-2-2211-1-10000000-1-1110000
χ2522222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1220022220000-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000200-1-1-1-100000000
χ2622222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-12-200-2-2220000-1-1-1-11111-2-2-1-1-1-1-1-1-1-111111111-2-20000000000-200111100000000
χ2722222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-1-220022-2-200001111-1-1-1-12211111111-1-1-1-1-1-1-1-1-2-20000000000-200111100000000
χ2822222-12222-1222-1-122-1-1-1-1-12-12-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-200-2-2-2-2000011111111-2-21111111111111111220000000000200-1-1-1-100000000
χ2922222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-2-20022-2-20000-1-111-1-111-2-2-1-1-1-11111-1-1-1-11111220000000000-200-1-11100000000
χ3022222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-21111111122-2-22222-1-1-1-1-2-21111-2200-2-2-2-20000-1-11111-1-122-1-1-1-111111111-1-1-1-1-2-2000000000020011-1-100000000
χ3122222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-211112-2002222000011-1-1-1-111-2-21111-1-1-1-1-1-1-1-11111-2-2000000000020011-1-100000000
χ3222222-12-2-22-1222-1-1221111-12-12-12-1-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-211112200-2-222000011-1-111-1-1221111-1-1-1-11111-1-1-1-1220000000000-200-1-11100000000
χ332222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-10222-1-100222200002222-1-100000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-102200000000-1-100
χ342222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-102-2-2-1-100-2-2-2-200002222-1-100000000-1-1-1-1-1-1-1-10000001111110-2-2000000001100
χ352222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-10-222110022220000-2-2-2-2110000000011111111000000-1-1-1-1-1-10-2-2000000001100
χ362222-12222-12-122222-12222-1-12-1-1-12-1-122-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-2-2-20000-2-2-2-211000000001111111100000011111102200000000-1-100
χ372222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200220000-1-1-1-11111110-22-2-1-10022-2-2000022-2-21100000000-1-1-1-11111000000-11-1-11102-200000000-1100
χ382222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200220000-1-1-1-11111110-2-22-1-100-2-222000022-2-21100000000-1-1-1-111110000001-111-1-10-22000000001-100
χ392222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200-2-20000-1-1-1-1111111022-2110022-2-20000-2-222-1-1000000001111-1-1-1-1000000-11-1-1110-22000000001-100
χ402222-122-2-2-12-122222-1-2-2-2-2-1-12-1-1-12-1-122-111-2-21111-2-2-2-200-2-20000-1-1-1-111111102-221100-2-2220000-2-222-1-1000000001111-1-1-1-10000001-111-1-102-200000000-1100
χ4122-2-222200-2-222-22-2-2-200002222-2-2-22-22-2-20000000000002-22-222-2-222-2-200000000002-20000002-2002-2000022-2-2000022-2-200002-200000000000002-20000000000
χ4222-2-222200-2-222-22-2-2-200002222-2-2-22-22-2-20000000000002-2-2222-2-222-2-20000000000-220000002-200-22000022-2-20000-2-2220000-220000000000000-220000000000
χ4322-2-222200-2-222-22-2-2-200002222-2-2-22-22-2-2000000000000-222-2-2-22222-2-200000000002-2000000-22002-20000-2-222000022-2-20000-220000000000000-220000000000
χ4422-2-222200-2-222-22-2-2-200002222-2-2-22-22-2-2000000000000-22-22-2-22222-2-20000000000-22000000-2200-220000-2-2220000-2-22200002-200000000000002-20000000000
χ4522-2-22-1200-2122-2-11-2-233−3−3-12-121-21-11-11-2000033−3−333−3−32-22-222-2-2-1-1110033−3−300002-2000000-113−3-113−300-1-11133−3−3-1-11133−3−32-20000000000000-113−300000000
χ4622-2-22-1200-2122-2-11-2-233−3−3-12-121-21-11-11-2000033−3−333−3−32-2-2222-2-2-1-1110033−3−30000-22000000-113−31-1−3300-1-11133−3−311-1-1−3−333-2200000000000001-1−3300000000
χ4722-2-22-1200-2122-2-11-2-233−3−3-12-121-21-11-11-2000033−3−333−3−3-222-2-2-222-1-1110033−3−300002-20000001-1−33-113−30011-1-1−3−333-1-11133−3−3-2200000000000001-1−3300000000
χ4822-2-22-1200-2122-2-11-2-233−3−3-12-121-21-11-11-2000033−3−333−3−3-22-22-2-222-1-1110033−3−30000-220000001-1−331-1−330011-1-1−3−33311-1-1−3−3332-20000000000000-113−300000000
χ4922-2-22-1200-2122-2-11-2-2−3−333-12-121-21-11-11-20000−3−333−3−3332-22-222-2-2-1-11100−3−33300002-2000000-11−33-11−3300-1-111−3−333-1-111−3−3332-20000000000000-11−3300000000
χ5022-2-22-1200-2122-2-11-2-2−3−333-12-121-21-11-11-20000−3−333−3−3332-2-2222-2-2-1-11100−3−3330000-22000000-11−331-13−300-1-111−3−33311-1-133−3−3-2200000000000001-13−300000000
χ5122-2-22-1200-2122-2-11-2-2−3−333-12-121-21-11-11-20000−3−333−3−333-222-2-2-222-1-11100−3−33300002-20000001-13−3-11−330011-1-133−3−3-1-111−3−333-2200000000000001-13−300000000
χ5222-2-22-1200-2122-2-11-2-2−3−333-12-121-21-11-11-20000−3−333−3−333-22-22-2-222-1-11100−3−3330000-220000001-13−31-13−30011-1-133−3−311-1-133−3−32-20000000000000-11−3300000000
χ532-22-22222-222-2-2-2-2-22-22-22-2222-2222-2-2-2-2-22-22-22-22-22-22-2000000002-2-222-22-22-200000000000000000000000000000000000000002-22-200000000000002-22-20000
χ542-22-22222-222-2-2-2-2-22-22-22-2222-2222-2-2-2-2-22-22-22-22-22-22-2000000002-2-222-22-22-20000000000000000000000000000000000000000-22-220000000000000-22-220000
χ552-22-2222-2222-2-2-2-2-22-2-22-22222-2222-2-2-2-2-2-22-22-22-22-22-22000000002-2-22-22-22-2200000000000000000000000000000000000000002-2-2200000000000002-2-220000
χ562-22-2222-2222-2-2-2-2-22-2-22-22222-2222-2-2-2-2-2-22-22-22-22-22-22000000002-2-22-22-22-220000000000000000000000000000000000000000-222-20000000000000-222-20000
χ572-22-222-12-222-211-2-2-1-22-22-22-1-112-1-1-2-21112-2-112-22-2-11-1100003−33−3-111-1-11-11-110000003−33−33−300000000003−33−33−33−300000000002-22-2003−33−30000000-11-110000
χ582-22-222-12-222-211-2-2-1-22-22-22-1-112-1-1-2-21112-2-112-22-2-11-1100003−33−3-111-1-11-11-110000003−3−33−3300000000003−33−33−33−30000000000-22-2200−33−3300000001-11-10000
χ592-22-222-12-222-211-2-2-1-22-22-22-1-112-1-1-2-21112-2-112-22-2-11-110000−33−33-111-1-11-11-11000000−333−33−30000000000−33−33−33−330000000000-22-22003−33−300000001-11-10000
χ602-22-222-12-222-211-2-2-1-22-22-22-1-112-1-1-2-21112-2-112-22-2-11-110000−33−33-111-1-11-11-11000000−33−33−330000000000−33−33−33−3300000000002-22-200−33−330000000-11-110000
χ612-22-222-1-2222-211-2-2-1-2-22-222-1-112-1-1-2-2111-221-1-22-221-11-100003−33−3-111-11-11-11-1000000−333−3−3300000000003−33−3−33−3300000000002-2-22003−3−330000000-111-10000
χ622-22-222-1-2222-211-2-2-1-2-22-222-1-112-1-1-2-2111-221-1-22-221-11-100003−33−3-111-11-11-11-1000000−33−333−300000000003−33−3−33−330000000000-222-200−333−300000001-1-110000
χ632-22-222-1-2222-211-2-2-1-2-22-222-1-112-1-1-2-2111-221-1-22-221-11-10000−33−33-111-11-11-11-10000003−33−3−330000000000−33−333−33−30000000000-222-2003−3−3300000001-1-110000
χ642-22-222-1-2222-211-2-2-1-2-22-222-1-112-1-1-2-2111-221-1-22-221-11-10000−33−33-111-11-11-11-10000003−3−333−30000000000−33−333−33−300000000002-2-2200−333−30000000-111-10000
χ6544444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-211114400-2-2-2-21111-2-21111400000-2-20000-2-2-2-20000001111111100000000000000000000000000000000000
χ6644444-2-2444-24-2-2-2-2-24-2-2-2-2-2-21-2-2-21-2-211-244-2-2-2-2-2-21111-4-40022221111-2-21111-4000002200002222000000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ6744444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-14400-2-2-2-2111122-1-1-1-1-400000220000-2-2220000001111-1-1-1-100000000000000000000000000000000000
χ6844444-2-2-4-44-24-2-2-2-2-242222-2-21-2-2-21-2-211-2-4-4222222-1-1-1-1-4-4002222111122-1-1-1-1400000-2-2000022-2-2000000-1-1-1-1111100000000000000000000000000000000000
χ694444-24-244-24-2-2-244-2-24444-21-21-21-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200000000111111111100440000-2-2-2-200000000000000000000000000000000-2-21111000000000000000
χ704444-24-244-24-2-2-244-2-24444-21-21-21-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200000000111111111100-4-4000022220000000000000000000000000000000022-1-1-1-1000000000000000
χ714444-24-2-4-4-24-2-2-244-2-2-4-4-4-4-21-21-21-2-2-2-2-21222222222222000000001111-1-1-1-1-1-1004-40000-2-22200000000000000000000000000000000-2211-1-1000000000000000
χ724444-24-2-4-4-24-2-2-244-2-2-4-4-4-4-21-21-21-2-2-2-2-21222222222222000000001111-1-1-1-1-1-100-44000022-2-2000000000000000000000000000000002-2-1-111000000000000000
χ734444-2-2444-2-2-244-2-24-2-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-2004400001111-2-211110400-2-20000000000-2-2-2-2-2-20000000011111111000000000000000000000000000
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χ904-44-44-24-444-2-4-4-4224-42-22-2-24-2-4-24-22222-4-44-442-22-22-22-200000000-222-2-442-22-200000000000000000000000000000000000000000000000000000000000000000
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χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
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χ1258-88-8-4-4-48-8-4-444444-44-44-44222-2222-2-2-2-2-2-44-442-22-22-22-200000000-111-12-2-11-1100000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4-88-4-444444-444-44-4222-2222-2-2-2-2-24-44-4-22-22-22-2200000000-111-1-221-11-100000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).