Finite Group Databasebeta

← Group #13161362

Character table — Group #13161362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444888888888888888888888888888888881212121212121212121212121212121212121212181818181818181824242424242424243636363636363636108108108108
order1244233333466666121212121212121212122333346666666666612121212121212121212121212121266666666666666661212121212121212121212121212121244881212121212121212121212121212121222446612122424242424242424246661212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-11111-11-1-11111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1
χ611111111111111111111111111-11111-11-1-11111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111
χ711111111111111111111111111-11111-11-1-11111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-111
χ811111111111111111111111111-11111-11-1-11111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-11111-1-1
χ911-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1iiii−i−i−i−i1-1-1111-1-1i−ii−i
χ1011-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111iiii−i−i−i−i-111-1-1-111−ii−ii
χ1111-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−i−i−iiiii1-1-1111-1-1−ii−ii
χ1211-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111−i−i−i−iiiii-111-1-1-111i−ii−i
χ1311-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1−i−i−i−iiiii-11-1-1-1111i−i−ii
χ1411-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−i−i−iiiii1-1111-1-1-1−iii−i
χ1511-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1iiii−i−i−i−i-11-1-1-1111−iii−i
χ1611-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111iiii−i−i−i−i1-1111-1-1-1i−i−ii
χ17222222222-122222-1-1-1222222222-1-1-1-12-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-10000000022-1-1-1-1-1-10000
χ18222222222-122222-1-1-1222222222-1-1-1-12-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111100000000-2-21111110000
χ19222222222-122222-1-1-122222222-2-1-1-1-1-2-111-1-1-1-122222222-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-111111111000000000000000000002222-1-1-1-100000000-2-2-111-1110000
χ20222222222-122222-1-1-122222222-2-1-1-1-1-2-111-1-1-1-122222222-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-1-11111111100000000000000000000-2-2-2-2111100000000221-1-11-1-10000
χ21222222-1-1-1222-1-1-122222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1000000002-1-1-12-1-1-1000000000000
χ22222222-1-1-1222-1-1-122222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-211111100000000-2111-2111000000000000
χ23222222-1-1-1222-1-1-122222-1-1-1-1-1-1-22-1-1-1-22-2-22-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-1-21112-1-1-1-2-2111111-21112-1-1-1-2-211111122-2-222-1-1-1-1-1-122-1-1-1-1-1-100000000-2111-2111000000000000
χ24222222-1-1-1222-1-1-122222-1-1-1-1-1-1-22-1-1-1-22-2-22-1-1-12-1-1-12-1-1-12-2-222-1-1-1-1-1-1-21112-1-1-1-2-2111111-21112-1-1-1-2-2111111-2-222-2-2111111-2-2111111000000002-1-1-12-1-1-1000000000000
χ2522222-12-1-122-12-1-1222-1-122-1-1-1-12-12-1-12222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-100000000-12-1-1-12-1-1000000000000
χ2622222-12-1-122-12-1-1222-1-122-1-1-1-12-12-1-12222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-21111000000001-2111-211000000000000
χ2722222-12-1-122-12-1-1222-1-122-1-1-1-1-2-12-1-1-22-2-2-12-1-1-12-1-1-12-1-12-2-2-1-122-1-1-1-11-211-12-1-111-2-211111-211-12-1-111-2-2111122-2-2-1-122-1-1-1-1-1-122-1-1-1-1000000001-2111-211000000000000
χ2822222-12-1-122-12-1-1222-1-122-1-1-1-1-2-12-1-1-22-2-2-12-1-1-12-1-1-12-1-12-2-2-1-122-1-1-1-11-211-12-1-111-2-211111-211-12-1-111-2-21111-2-22211-2-2111111-2-2111100000000-12-1-1-12-1-1000000000000
χ2922222-1-12-122-1-12-1222-1-1-1-122-1-12-1-12-12222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-100000000-1-12-1-1-12-1000000000000
χ3022222-1-12-122-1-12-1222-1-1-1-122-1-12-1-12-12222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-2110000000011-2111-21000000000000
χ3122222-1-12-122-1-12-1222-1-1-1-122-1-1-2-1-12-1-22-2-2-1-12-1-1-12-1-1-12-12-2-2-1-1-1-122-1-111-21-1-12-11111-2-21111-21-1-12-11111-2-21122-2-2-1-1-1-122-1-1-1-1-1-122-1-10000000011-2111-21000000000000
χ3222222-1-12-122-1-12-1222-1-1-1-122-1-1-2-1-12-1-22-2-2-1-12-1-1-12-1-1-12-12-2-2-1-1-1-122-1-111-21-1-12-11111-2-21111-21-1-12-11111-2-211-2-2221111-2-2111111-2-21100000000-1-12-1-1-12-1000000000000
χ3322222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12200000000-1-1-12-1-1-12000000000000
χ3422222-1-1-1222-1-1-12222-1-1-1-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-200000000111-2111-2000000000000
χ3522222-1-1-1222-1-1-12222-1-1-1-1-1-122-2-1-1-12-22-2-2-1-1-12-1-1-12-1-1-122-2-2-1-1-1-1-1-122111-2-1-1-12111111-2-2111-2-1-1-12111111-2-222-2-2-1-1-1-1-1-122-1-1-1-1-1-12200000000111-2111-2000000000000
χ3622222-1-1-1222-1-1-12222-1-1-1-1-1-122-2-1-1-12-22-2-2-1-1-12-1-1-12-1-1-122-2-2-1-1-1-1-1-122111-2-1-1-12111111-2-2111-2-1-1-12111111-2-2-2-222111111-2-2111111-2-200000000-1-1-12-1-1-12000000000000
χ372222-222222-2222222222222222022220-2002222-2-2-2-2-2-2-2-2-200222222220000-2-2-2-2000000000000-2-2-2-200000000000000000000000000002-2-2222220000000000-200-2000000
χ382222-222222-2222222222222222022220-2002222-2-2-2-2-2-2-2-2-200222222220000-2-2-2-2000000000000-2-2-2-20000000000000000000000000000-222-2-2-2-2-200000000002002000000
χ392222-22222-1-22222-1-1-1222222220-1-1-1-101−i3i3-1-1-1-1-2-2-2-2-2-2-2-21−i3i3-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300001111−i3i3−i3i3−i3i3−i3i3000000000000000000002-2-22-1-1-1-100000000001−i3i31−i3i30000
χ402222-22222-1-22222-1-1-1222222220-1-1-1-101−i3i3-1-1-1-1-2-2-2-2-2-2-2-21−i3i3-1-1-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300001111−i3i3−i3i3−i3i3−i3i300000000000000000000-222-211110000000000-1i3−i3-1i3−i30000
χ412222-22222-1-22222-1-1-1222222220-1-1-1-101i3−i3-1-1-1-1-2-2-2-2-2-2-2-21i3−i3-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300001111i3−i3i3−i3i3−i3i3−i3000000000000000000002-2-22-1-1-1-100000000001i3−i31i3−i30000
χ422222-22222-1-22222-1-1-1222222220-1-1-1-101i3−i3-1-1-1-1-2-2-2-2-2-2-2-21i3−i3-1-1-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300001111i3−i3i3−i3i3−i3i3−i300000000000000000000-222-211110000000000-1−i3i3-1−i3i30000
χ4322-2-2222222-222222-2-2-2-2-2-2-2-2-2-202222020022222222-2-2-2-2-200-2-2-2-2-2-2-2-200002222000000000000-2-2-2-2000000000000000000000000000022-2-222-2-20000000000200-2000000
χ4422-2-2222222-222222-2-2-2-2-2-2-2-2-2-202222020022222222-2-2-2-2-200-2-2-2-2-2-2-2-200002222000000000000-2-2-2-20000000000000000000000000000-2-222-2-2220000000000-2002000000
χ4522-2-222222-1-22222-111-2-2-2-2-2-2-2-20-1-1-1-10-1−i3i3-1-1-1-12222-2-2-2-21i3−i3111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i300001111i3−i3i3−i3i3−i3i3−i30000000000000000000022-2-2-1-1110000000000-1−i3i31i3−i30000
χ4622-2-222222-1-22222-111-2-2-2-2-2-2-2-20-1-1-1-10-1−i3i3-1-1-1-12222-2-2-2-21i3−i3111111110000-1-1-1-1−i3i3−i3i3−i3i3−i3i300001111i3−i3i3−i3i3−i3i3−i300000000000000000000-2-22211-1-100000000001i3−i3-1−i3i30000
χ4722-2-222222-1-22222-111-2-2-2-2-2-2-2-20-1-1-1-10-1i3−i3-1-1-1-12222-2-2-2-21−i3i3111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i300001111−i3i3−i3i3−i3i3−i3i30000000000000000000022-2-2-1-1110000000000-1i3−i31−i3i30000
χ4822-2-222222-1-22222-111-2-2-2-2-2-2-2-20-1-1-1-10-1i3−i3-1-1-1-12222-2-2-2-21−i3i3111111110000-1-1-1-1i3−i3i3−i3i3−i3i3−i300001111−i3i3−i3i3−i3i3−i3i300000000000000000000-2-22211-1-100000000001−i3i3-1i3−i30000
χ4922-2-2-22222-122222-111-2-2-2-2-2-2-2-22-1-1-1-1-21-1-1-1-1-1-1-2-2-2-22222-1111111111122221111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000000000002-22-2-1-111000000002-21-1-1-1110000
χ5022-2-2-22222-122222-111-2-2-2-2-2-2-2-22-1-1-1-1-21-1-1-1-1-1-1-2-2-2-22222-1111111111122221111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000000000000-22-2211-1-100000000-22-1111-1-10000
χ5122-2-2-22222-122222-111-2-2-2-2-2-2-2-2-2-1-1-1-12111-1-1-1-1-2-2-2-22222-1-1-111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002-22-2-1-11100000000-22111-1-1-10000
χ5222-2-2-22222-122222-111-2-2-2-2-2-2-2-2-2-1-1-1-12111-1-1-1-1-2-2-2-22222-1-1-111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-22-2211-1-1000000002-2-1-1-11110000
χ5322-2-2-22-1-1-1222-1-1-12-2-2-2-211111122-1-1-1-2-2222-1-1-1-21112-1-1-12-2-2-2-21111112-1-1-1-211122-1-1-1-1-1-1-21112-1-1-1-2-21111112i−2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000002i−i−i−i−2iiii000000000000
χ5422-2-2-22-1-1-1222-1-1-12-2-2-2-211111122-1-1-1-2-2222-1-1-1-21112-1-1-12-2-2-2-21111112-1-1-1-211122-1-1-1-1-1-1-21112-1-1-1-2-2111111−2i2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−2iiii2i−i−i−i000000000000
χ5522-2-2-22-1-1-1222-1-1-12-2-2-2-2111111-22-1-1-12-2-2-22-1-1-1-21112-1-1-1222-2-2111111-2111-2111-2-21111112-1-1-12-1-1-122-1-1-1-1-1-12i−2i−2i2i2i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−2iiii2i−i−i−i000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.