Finite Group Databasebeta

← Group #13150624

Character table — Group #13150624

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818111111112222222266666666666666661212121212121212181818181818181818181818181818181818181818181818181818181818181818181818
order12224444366612121212336666661212121212121212366612121212224444444444666612121212121212121212121212121212121212122222444466661212121266666666121212121212121266661212121222444444444466661212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-11-1i−ii−ii−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-11-1i−ii−ii−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-11-1−ii−ii−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-11-11-1−ii−ii−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-11-11i−ii−i−ii−ii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-11-11i−ii−i−ii−ii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-11-11−ii−iii−ii−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-11-11−ii−iii−ii−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11i−i−iii−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11i−i−iii−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11−iii−i−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-11−iii−i−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-111-1i−i−ii−iii−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-111-1i−i−ii−iii−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-111-1−iii−ii−i−ii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-111-111-1−iii−ii−i−ii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ1822222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000000000001111111122222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111
χ192222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-1000000002222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000
χ202222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000000011111111000000002222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000
χ212222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-211-1-1-1-111110000000022-2-20000000000000000-1-1-1-111112222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-211-1-1-1-111110000000022-2-20000000000000000-1-1-1-11111
χ222222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-211-1-1-1-1111100000000-2-22200000000000000001111-1-1-1-12222-2-2-2-22222-2-2-2-22-12-122-1-1-2-211-2-211-1-1-1-1111100000000-2-22200000000000000001111-1-1-1-1
χ232222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-2-1-1-1-11111000022-2-2000000000000-1-1-1-11111000000002222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-2-1-1-1-11111000022-2-2000000000000-1-1-1-1111100000000
χ242222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-2-1-1-1-111110000-2-2220000000000001111-1-1-1-1000000002222-2-2-2-22222-2-2-2-2-12-12-1-12211-2-211-2-2-1-1-1-111110000-2-2220000000000001111-1-1-1-100000000
χ2522-2-222-2-22-2-2222-2-22-12-1-2-21122-1-1-2-211-111-1-1-111000000002i−2i2i−2i0000000000000000−i−iii−i−iii22-2-222-2-22-2-2222-2-22-12-1-2-21122-1-1-2-211-111-1-1-111000000002i−2i2i−2i0000000000000000−i−iii−i−iii
χ2622-2-222-2-22-2-2222-2-22-12-1-2-21122-1-1-2-211-111-1-1-11100000000−2i2i−2i2i0000000000000000ii−i−iii−i−i22-2-222-2-22-2-2222-2-22-12-1-2-21122-1-1-2-211-111-1-1-11100000000−2i2i−2i2i0000000000000000ii−i−iii−i−i
χ2722-2-222-2-22-2-2222-2-2-12-1211-2-2-1-12211-2-2-111-1-1-11100002i−2i2i−2i000000000000−i−iii−i−iii0000000022-2-222-2-22-2-2222-2-2-12-1211-2-2-1-12211-2-2-111-1-1-11100002i−2i2i−2i000000000000−i−iii−i−iii00000000
χ2822-2-222-2-22-2-2222-2-2-12-1211-2-2-1-12211-2-2-111-1-1-1110000−2i2i−2i2i000000000000ii−i−iii−i−i0000000022-2-222-2-22-2-2222-2-2-12-1211-2-2-1-12211-2-2-111-1-1-1110000−2i2i−2i2i000000000000ii−i−iii−i−i00000000
χ2922-2-2-2-2222-2-22-2-2222-12-1-2-211-2-21122-1-1-111-111-1-1000000002i−2i−2i2i0000000000000000−i−iiiii−i−i22-2-2-2-2222-2-22-2-2222-12-1-2-211-2-21122-1-1-111-111-1-1000000002i−2i−2i2i0000000000000000−i−iiiii−i−i
χ3022-2-2-2-2222-2-22-2-2222-12-1-2-211-2-21122-1-1-111-111-1-100000000−2i2i2i−2i0000000000000000ii−i−i−i−iii22-2-2-2-2222-2-22-2-2222-12-1-2-211-2-21122-1-1-111-111-1-100000000−2i2i2i−2i0000000000000000ii−i−i−i−iii
χ3122-2-2-2-2222-2-22-2-222-12-1211-2-211-2-2-1-122-111-111-1-100002i−2i−2i2i000000000000−i−iiiii−i−i0000000022-2-2-2-2222-2-22-2-222-12-1211-2-211-2-2-1-122-111-111-1-100002i−2i−2i2i000000000000−i−iiiii−i−i00000000
χ3222-2-2-2-2222-2-22-2-222-12-1211-2-211-2-2-1-122-111-111-1-10000−2i2i2i−2i000000000000ii−i−i−i−iii0000000022-2-2-2-2222-2-22-2-222-12-1211-2-211-2-2-1-122-111-111-1-10000−2i2i2i−2i000000000000ii−i−i−i−iii00000000
χ332-22-22i−2i2i−2i22-2-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i22-2-22i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000000000000000000000
χ342-22-22i−2i2i−2i22-2-22i−2i2i−2i2-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00000000000000000000000000003−33−3−i3i3−i3i32-22-22i−2i2i−2i22-2-22i−2i2i−2i2-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00000000000000000000000000003−33−3−i3i3−i3i3
χ352-22-22i−2i2i−2i22-2-22i−2i2i−2i2-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii0000000000000000000000000000−33−33i3−i3i3−i32-22-22i−2i2i−2i22-2-22i−2i2i−2i2-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii0000000000000000000000000000−33−33i3−i3i3−i3
χ362-22-22i−2i2i−2i22-2-22i−2i2i−2i-121-2-112-2−ii2i−2i−ii2i−2i-1-111−ii−ii00000000000000000000−i3i3−i3i33−33−3000000002-22-22i−2i2i−2i22-2-22i−2i2i−2i-121-2-112-2−ii2i−2i−ii2i−2i-1-111−ii−ii00000000000000000000−i3i3−i3i33−33−300000000
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χ502-2-22−2i2i2i−2i2-22-2−2i2i2i−2i2-1-21-221-1−2i2ii−i2i−2i−ii-11-11i−i−ii0000000000000000000000000000i3−i3−i3i3−333−32-2-22−2i2i2i−2i2-22-2−2i2i2i−2i2-1-21-221-1−2i2ii−i2i−2i−ii-11-11i−i−ii0000000000000000000000000000i3−i3−i3i3−333−3
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Here i is the imaginary unit (i² = −1).