Finite Group Databasebeta

← Group #13143957

Character table — Group #13143957

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111111111222222222222222222444444444444666666666666666699999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242424242424363636363636363636363636
order12223366666644888812121212242424242424242422446666121212123333666666666666444412121212121212121212121212121212242424242424242424242424242424244488881212121224242424242424246666666612121212121212122244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ911-1-11111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i
χ1011-1-11111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii
χ1111-1-11111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i-11−ii-1-111−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1ii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii
χ1211-1-11111-1-1-1-1-11ii−i−i-1-111iiii−i−i−i−i-11−ii-1-111−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i
χ1311-1-11111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii1-1−ii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111ii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i
χ1411-1-11111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii1-1−ii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii
χ1511-1-11111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii-11i−i-1-111ii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111ii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii
χ1611-1-11111-1-1-1-1-11−i−iii-1-111−i−i−i−iiiii-11i−i-1-111ii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i
χ172222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-10000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000002-1-1-12-1-1-12-1-1-12-1-1-1000000000000
χ18222222222222222222222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000-12-1-1-12-1-1-12-1-1-12-1-1000000000000
χ19222222222222222222222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000-1-12-1-1-12-1-1-12-1-1-12-1000000000000
χ20222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-10000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000-2111-2111-2111-2111000000000000
χ22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000001-2111-2111-2111-211000000000000
χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000011-2111-2111-2111-21000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12000000000000-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000111-2111-2111-2111-2000000000000
χ2522222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-21111110000000000000000002-1-1-12-1-1-1-2111-2111000000000000
χ2622222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1000000000000-12-1-1-12-1-111-2-2111111-2-21111000000000000000000-12-1-1-12-1-11-2111-211000000000000
χ2722222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1000000000000-1-12-1-1-12-11111-2-2111111-2-211000000000000000000-1-12-1-1-12-111-2111-21000000000000
χ2822222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000-1-1-12-1-1-12111-2111-2000000000000
χ2922222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-1-1-12-1-1-12-1-1-12-1-1-10000000000002-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000-2111-21112-1-1-12-1-1-1000000000000
χ3022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-12-1-1-12-1-1-12-1-1-12-1-1000000000000-12-1-1-12-1-111-2-2111111-2-211110000000000000000001-2111-211-12-1-1-12-1-1000000000000
χ3122222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-12-1-1-12-1-1-12-1-1-12-1000000000000-1-12-1-1-12-11111-2-2111111-2-21100000000000000000011-2111-21-1-12-1-1-12-1000000000000
χ3222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-12-1-1-12-1-1-12000000000000-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000111-2111-2-1-1-12-1-1-12000000000000
χ33222222222222-2-20000-2-2-2-2000000000000000000002222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-20000-2-2-2-2000000000000000000000000000000000000
χ34222222222222-2-20000-2-2-2-2000000000000000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002200002222000000000000000000000000000000000000
χ3522-2-22222-2-2-2-22-2000022-2-2000000000000000000002222-2-2-2-22222-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-2-2-222220000000000000000−2i2i0000−2i−2i2i2i000000000000000000000000000000000000
χ3622-2-22222-2-2-2-22-2000022-2-2000000000000000000002222-2-2-2-22222-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-2-2-2222200000000000000002i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ3722-2-22222-2-2-2-2-222i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-22i−2i22-2-22i2i−2i−2i2-1-1-1-21112-1-1-1-21110000000000002-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000002-1-1-1-21112i−i−i−i−2iiii000000000000
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χ4022-2-22222-2-2-2-2-222i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-22i−2i22-2-22i2i−2i−2i-1-1-12111-2-1-1-12111-2000000000000-1-1-12111-2−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000-1-1-12111-2−i−i−i2iiii−2i000000000000
χ4122-2-22222-2-2-2-2-222i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000000000002-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000-21112-1-1-1−2iiii2i−i−i−i000000000000
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χ4422-2-22222-2-2-2-2-222i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000000000-1-1-12111-2−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000111-2-1-1-12iii−2i−i−i−i2i000000000000
χ4522-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i2-1-1-1-21112-1-1-1-21110000000000002-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000002-1-1-1-2111−2iiii2i−i−i−i000000000000
χ4622-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-12-1-11-211-12-1-11-211000000000000-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000-12-1-11-211i−2iii−i2i−i−i000000000000
χ4722-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-1-12-111-21-1-12-111-21000000000000-1-12-111-21iiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000-1-12-111-21ii−2ii−i−i2i−i000000000000
χ4822-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-1-1-12111-2-1-1-12111-2000000000000-1-1-12111-2iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000-1-1-12111-2iii−2i−i−i−i2i000000000000
χ4922-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-222i−2i-2-2222i2i−2i−2i2-1-1-1-21112-1-1-1-21110000000000002-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000-21112-1-1-12i−i−i−i−2iiii000000000000
χ5022-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-222i−2i-2-2222i2i−2i−2i-12-1-11-211-12-1-11-211000000000000-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000001-211-12-1-1−i2i−i−ii−2iii000000000000
χ5122-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-222i−2i-2-2222i2i−2i−2i-1-12-111-21-1-12-111-21000000000000-1-12-111-21iiii−2i−2iii−i−i−i−i2i2i−i−i00000000000000000011-21-1-12-1−i−i2i−iii−2ii000000000000
χ5222-2-22222-2-2-2-2-22−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-222i−2i-2-2222i2i−2i−2i-1-1-12111-2-1-1-12111-2000000000000-1-1-12111-2iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000111-2-1-1-12−i−i−i2iiii−2i000000000000
χ532-22-222-2-222-2-200−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000022222222-2-2-2-2-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002−22−2000022−2−222−2−20000000000000000000000000000
χ542-22-222-2-222-2-200−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200000000000022222222-2-2-2-2-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−22−220000−2−222−2−2220000000000000000000000000000
χ552-22-222-2-222-2-200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000022222222-2-2-2-2-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−22−220000−2−222−2−2220000000000000000000000000000
χ562-22-222-2-222-2-200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200000000000022222222-2-2-2-2-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002−22−2000022−2−222−2−20000000000000000000000000000
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χ1386-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30032−32−323200003ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ13−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ130000000000000000000000000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000000000000000002−2−220000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ130000000000000000000000000000
χ1396-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300−323232−320000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ1300000000000000000000000000002-2-22−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000000000000000002−2−220000ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ13−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ130000000000000000000000000000
χ1406-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300−323232−320000−3ζ5+3ζ233ζ7−3ζ133ζ5−3ζ23−3ζ7+3ζ133ζ5−3ζ23−3ζ7+3ζ13−3ζ5+3ζ233ζ7−3ζ130000000000000000000000000000-222-21−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000000000000−222−20000−ζ5+ζ23ζ7−ζ13ζ5−ζ23−ζ7+ζ13ζ5−ζ23−ζ7+ζ13−ζ5+ζ23ζ7−ζ130000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.