Finite Group Databasebeta

← Group #10732179

Character table — Group #10732179

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222234444444466666666666666644444444121212121212121212121212121212121212121212121212224444446666121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1011111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ172222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
χ2522222-2-2-2-22-2-2-22-2220000000022222-2-2-2-222-2-2-2-22i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000022-2-22i2i−2i−2i000000000000
χ2622222-2-2-2-22-2-2-22-2220000000022222-2-2-2-222-2-2-2-22i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000-2-222−2i−2i2i2i000000000000
χ2722222-2-2-2-22-2-2-22-2220000000022222-2-2-2-222-2-2-2-2−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000022-2-2−2i−2i2i2i000000000000
χ2822222-2-2-2-22-2-2-22-2220000000022222-2-2-2-222-2-2-2-2−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000-2-2222i2i−2i−2i000000000000
χ29222-2-2222-2-2-2-2-222-220000000022-2-2-22-2-2-22-2222-22-22-200000000000022-2-222-2-2000000000000000000000000000000002i2i−2i−2i000000002i2i−2i−2i00000000
χ30222-2-2222-2-2-2-2-222-220000000022-2-2-22-2-2-22-2222-22-22-200000000000022-2-222-2-200000000000000000000000000000000−2i−2i2i2i00000000−2i−2i2i2i00000000
χ31222-2-2222-2-2-2-2-222-220000000022-2-2-22-2-2-22-2222-2-22-22000000000000-2-222-2-222000000000000000000000000000000002i2i−2i−2i00000000−2i−2i2i2i00000000
χ32222-2-2222-2-2-2-2-222-220000000022-2-2-22-2-2-22-2222-2-22-22000000000000-2-222-2-22200000000000000000000000000000000−2i−2i2i2i000000002i2i−2i−2i00000000
χ33222-2-2-2-2-22-22222-2-222222-2-2-2-222-2-2-2-22222-2-2-2-222i−2i−2i2i2i2i−2i−2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ34222-2-2-2-2-22-22222-2-222222-2-2-2-222-2-2-2-22222-2-2-2-22−2i2i2i−2i−2i−2i2i2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ35222-2-2-2-2-22-22222-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-222i−2i−2i2i−2i−2i2i2i-2-2-2-222222i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ36222-2-2-2-2-22-22222-2-22-2-2-2-2222222-2-2-2-22222-2-2-2-22−2i2i2i−2i2i2i−2i−2i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ37222-2-2-2-2-22-22222-2-2-12222-2-2-2-2-1-11111-1-1-1-11111-12i−2i−2i2i2i2i−2i−2i-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiii00000000−i3−i3i3i3−i3−i3i3i333−3−333−3−3000000000000000000000000
χ38222-2-2-2-2-22-22222-2-2-12222-2-2-2-2-1-11111-1-1-1-11111-12i−2i−2i2i2i2i−2i−2i-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiii00000000i3i3−i3−i3i3i3−i3−i3−3−333−3−333000000000000000000000000
χ39222-2-2-2-2-22-22222-2-2-12222-2-2-2-2-1-11111-1-1-1-11111-1−2i2i2i−2i−2i−2i2i2i-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i00000000−i3−i3i3i3−i3−i3i3i3−3−333−3−333000000000000000000000000
χ40222-2-2-2-2-22-22222-2-2-12222-2-2-2-2-1-11111-1-1-1-11111-1−2i2i2i−2i−2i−2i2i2i-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i00000000i3i3−i3−i3i3i3−i3−i333−3−333−3−3000000000000000000000000
χ41222-2-2-2-2-22-22222-2-2-1-2-2-2-22222-1-11111-1-1-1-11111-12i−2i−2i2i−2i−2i2i2i1111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333000000000000000000000000
χ42222-2-2-2-2-22-22222-2-2-1-2-2-2-22222-1-11111-1-1-1-11111-12i−2i−2i2i−2i−2i2i2i1111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3000000000000000000000000
χ43222-2-2-2-2-22-22222-2-2-1-2-2-2-22222-1-11111-1-1-1-11111-1−2i2i2i−2i2i2i−2i−2i1111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000000000000000000000
χ44222-2-2-2-2-22-22222-2-2-1-2-2-2-22222-1-11111-1-1-1-11111-1−2i2i2i−2i2i2i−2i−2i1111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333000000000000000000000000
χ4522-22-222-2-2-222-2-2-2222i2i−2i−2i2i2i−2i−2i2-22-2-2222-2-222-2-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000002-22i−2i00
χ4622-22-222-2-2-222-2-2-2222i2i−2i−2i2i2i−2i−2i2-22-2-2222-2-222-2-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000-22−2i2i00
χ4722-22-222-2-2-222-2-2-222−2i−2i2i2i−2i−2i2i2i2-22-2-2222-2-222-2-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000002-2−2i2i00
χ4822-22-222-2-2-222-2-2-222−2i−2i2i2i−2i−2i2i2i2-22-2-2222-2-222-2-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000-222i−2i00
χ4922-2-22-2-22-2222-2-22-222i2i−2i−2i−2i−2i2i2i2-2-222-222-2-2-2-222-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002-200002i−2i
χ5022-2-22-2-22-2222-2-22-222i2i−2i−2i−2i−2i2i2i2-2-222-222-2-2-2-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-220000−2i2i
χ5122-2-22-2-22-2222-2-22-22−2i−2i2i2i2i2i−2i−2i2-2-222-222-2-2-2-222-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002-20000−2i2i
χ5222-2-22-2-22-2222-2-22-22−2i−2i2i2i2i2i−2i−2i2-2-222-222-2-2-2-222-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000-2200002i−2i
χ532-222-2-22-2-222-22-22-222i−2i2i−2i2i−2i2i−2i-2222-2-22-22-2-222-2-2000000002i−2i2i−2i2i−2i2i−2i00000000000000002-200002i−2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ542-222-2-22-2-222-22-22-222i−2i2i−2i2i−2i2i−2i-2222-2-22-22-2-222-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000-220000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ552-222-2-22-2-222-22-22-22−2i2i−2i2i−2i2i−2i2i-2222-2-22-22-2-222-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000002-20000−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ562-222-2-22-2-222-22-22-22−2i2i−2i2i−2i2i−2i2i-2222-2-22-22-2-222-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000-2200002i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ572-222-2-22-2-222-22-22-2-12i−2i2i−2i2i−2i2i−2i1-1-1-111-11-111-1-11100000000−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i333−3−333−3−32-200002i−2i-11-11−ii−ii−i3i3−i3i33−33−3000000000000000000000000
χ582-222-2-22-2-222-22-22-2-12i−2i2i−2i2i−2i2i−2i1-1-1-111-11-111-1-11100000000−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i333−3−333−3−3-220000−2i2i1-11-1i−ii−ii3−i3i3−i3−33−33000000000000000000000000
χ592-222-2-22-2-222-22-22-2-12i−2i2i−2i2i−2i2i−2i1-1-1-111-11-111-1-11100000000−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3−3−333−3−3332-200002i−2i-11-11−ii−iii3−i3i3−i3−33−33000000000000000000000000
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χ632-222-2-22-2-222-22-22-2-1−2i2i−2i2i−2i2i−2i2i1-1-1-111-11-111-1-11100000000i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i333−3−333−3−32-20000−2i2i-11-11i−ii−ii3−i3i3−i33−33−3000000000000000000000000
χ642-222-2-22-2-222-22-22-2-1−2i2i−2i2i−2i2i−2i2i1-1-1-111-11-111-1-11100000000i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i333−3−333−3−3-2200002i−2i1-11-1−ii−ii−i3i3−i3i3−33−33000000000000000000000000
χ652-22-222-22-2-22-22-2-2222i−2i2i−2i−2i2i−2i2i-22-2-2222-22-22-2-22-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000002i−2i2-200000000002i−2i−2i2i-222-2000000000000000000000000
χ662-22-222-22-2-22-22-2-2222i−2i2i−2i−2i2i−2i2i-22-2-2222-22-22-2-22-2000000002i−2i2i−2i−2i2i−2i2i000000000000000000−2i2i-220000000000−2i2i2i−2i2-2-22000000000000000000000000
χ672-22-222-22-2-22-22-2-222−2i2i−2i2i2i−2i2i−2i-22-2-2222-22-22-2-22-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000002i−2i-2200000000002i−2i−2i2i2-2-22000000000000000000000000
χ682-22-222-22-2-22-22-2-222−2i2i−2i2i2i−2i2i−2i-22-2-2222-22-22-2-22-200000000−2i2i−2i2i2i−2i2i−2i000000000000000000−2i2i2-20000000000−2i2i2i−2i-222-2000000000000000000000000
χ692-22-222-22-2-22-22-2-22-12i−2i2i−2i−2i2i−2i2i1-111-1-1-11-11-111-1100000000−ii−iii−ii−i3−3−33−333−3i3i3−i3−i3−i3−i3i3i3002i−2i2-200−i3i3i3−i33−3−33−iii−i1-1-11000000000000000000000000
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χ1074-444-44-4444-44-4-4-4-4400000000-4444-44-44-4-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1154-4-444-4444-44-4-44-4-4-24-4-444-4-4422-22-22-222-22-22-2-200000000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000
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χ1204-4-4-4-4-444-44-4444-44-200000000222-2222-2-2-2-2-22-220000-444-400000000000000002-22-2-22-22000000000000000000000000000000000000000000000000

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