Finite Group Databasebeta

← Group #10824351

Character table — Group #10824351

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222444444443444444446666666121212121212121288888888121212121212121224242424242424242424242424242424224444446666121212121212121212121212444444448888888822444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002222-2-2-2-20000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-222220000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-2000000000000000000000000000000000000000022-2-2-2-2220000000000000000
χ2422222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-111111111-1-1-1-1000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1-1-1-1-11111000000000000000000000000
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χ31222-2-22-2-22222-2-2-2-220000000022-2-22-2-22222-2-2-2-2i2i2−i2−i2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000000002-22-20000i2i2−i2−i2i2i2−i2−i200000000
χ32222-2-22-2-22222-2-2-2-220000000022-2-22-2-22222-2-2-2-2i2i2−i2−i2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000-22-220000−i2−i2i2i2−i2−i2i2i200000000
χ33222-2-22-2-2-2-2-2-2222220000000022-2-22-2-2-2-2-2-22222−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000000000002-2-220000−i2−i2i2i2i2i2−i2−i200000000
χ34222-2-22-2-2-2-2-2-2222220000000022-2-22-2-2-2-2-2-22222−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000-222-20000i2i2−i2−i2−i2−i2i2i200000000
χ35222-2-22-2-2-2-2-2-2222220000000022-2-22-2-2-2-2-2-22222i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000000000002-2-220000i2i2−i2−i2−i2−i2i2i200000000
χ36222-2-22-2-2-2-2-2-2222220000000022-2-22-2-2-2-2-2-22222i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000-222-20000−i2−i2i2i2i2i2−i2−i200000000
χ3722-22-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2−22−2−i2i2−i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000000000000002-22i−2i2−22−2−i2i2−i2i200000000
χ3822-22-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2−22−2−i2i2−i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000-22−2i2i−22−22i2−i2i2−i200000000
χ3922-22-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i−22−22i2−i2i2−i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000000000000000002-22i−2i−22−22i2−i2i2−i200000000
χ4022-22-2-22-22i2i−2i−2i2i2i−2i−2i2000000002-22-2-22-22i2i−2i−2i2i2i−2i−2i−22−22i2−i2i2−i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000000000-22−2i2i2−22−2−i2i2−i2i200000000
χ4122-22-2-22-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2−22−2i2−i2i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000002-2−2i2i2−22−2i2−i2i2−i200000000
χ4222-22-2-22-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2−22−2i2−i2i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000-222i−2i−22−22−i2i2−i2i200000000
χ4322-22-2-22-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i−22−22−i2i2−i2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000002-2−2i2i−22−22−i2i2−i2i200000000
χ4422-22-2-22-2−2i−2i2i2i−2i−2i2i2i2000000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i−22−22−i2i2−i2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000000000000-222i−2i2−22−2i2−i2i2−i200000000
χ4522-2-22-2-222i2i−2i−2i−2i−2i2i2i22-22i2i−2i−2i2-22-2-22-2-222i2i−2i−2i−2i−2i2i2i000000002-22i2i−2i−2i2-20000000000000000000000000000000000000000000000002i−2i−2i2i2-2-2200000000
χ4622-2-22-2-222i2i−2i−2i−2i−2i2i2i22-22i2i−2i−2i2-22-2-22-2-222i2i−2i−2i−2i−2i2i2i000000002-22i2i−2i−2i2-2000000000000000000000000000000000000000000000000−2i2i2i−2i-222-200000000
χ4722-2-22-2-222i2i−2i−2i−2i−2i2i2i2-22−2i−2i2i2i-222-2-22-2-222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i2-2-22-22−2i−2i2i2i-222i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ4822-2-22-2-222i2i−2i−2i−2i−2i2i2i2-22−2i−2i2i2i-222-2-22-2-222i2i−2i−2i−2i−2i2i2i−2i2i2i−2i-222-2-22−2i−2i2i2i-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ4922-2-22-2-222i2i−2i−2i−2i−2i2i2i-1-22−2i−2i2i2i-22-111-111-1−i−iiiii−i−i2i−2i−2i2i2-2-221-1ii−i−i1-1−i−iiiii−i−i-1-11111-1-100000000−i3−i3i3i333−3−333−3−3−i3−i3i3i3000000000000000000000000
χ5022-2-22-2-222i2i−2i−2i−2i−2i2i2i-1-22−2i−2i2i2i-22-111-111-1−i−iiiii−i−i2i−2i−2i2i2-2-221-1ii−i−i1-1−i−iiiii−i−i-1-11111-1-100000000i3i3−i3−i3−3−333−3−333i3i3−i3−i3000000000000000000000000
χ5122-2-22-2-222i2i−2i−2i−2i−2i2i2i-1-22−2i−2i2i2i-22-111-111-1−i−iiiii−i−i−2i2i2i−2i-222-21-1ii−i−i1-1ii−i−i−i−iii11-1-1-1-11100000000−i3−i3i3i333−3−3−3−333i3i3−i3−i3000000000000000000000000
χ5222-2-22-2-222i2i−2i−2i−2i−2i2i2i-1-22−2i−2i2i2i-22-111-111-1−i−iiiii−i−i−2i2i2i−2i-222-21-1ii−i−i1-1ii−i−i−i−iii11-1-1-1-11100000000i3i3−i3−i3−3−33333−3−3−i3−i3i3i3000000000000000000000000
χ5322-2-22-2-22−2i−2i2i2i2i2i−2i−2i22-2−2i−2i2i2i2-22-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2−2i−2i2i2i2-20000000000000000000000000000000000000000000000002i−2i−2i2i-222-200000000
χ5422-2-22-2-22−2i−2i2i2i2i2i−2i−2i22-2−2i−2i2i2i2-22-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000002-2−2i−2i2i2i2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2-2-2200000000
χ5522-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-222i2i−2i−2i-222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i-222-2-222i2i−2i−2i-222i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-222i2i−2i−2i-222-2-22-2-22−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2-2-22-222i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ5722-2-22-2-22−2i−2i2i2i2i2i−2i−2i-1-222i2i−2i−2i-22-111-111-1ii−i−i−i−iii2i−2i−2i2i-222-21-1−i−iii1-1−i−iiiii−i−i11-1-1-1-11100000000−i3−i3i3i3−3−33333−3−3i3i3−i3−i3000000000000000000000000
χ5822-2-22-2-22−2i−2i2i2i2i2i−2i−2i-1-222i2i−2i−2i-22-111-111-1ii−i−i−i−iii2i−2i−2i2i-222-21-1−i−iii1-1−i−iiiii−i−i11-1-1-1-11100000000i3i3−i3−i333−3−3−3−333−i3−i3i3i3000000000000000000000000
χ5922-2-22-2-22−2i−2i2i2i2i2i−2i−2i-1-222i2i−2i−2i-22-111-111-1ii−i−i−i−iii−2i2i2i−2i2-2-221-1−i−iii1-1ii−i−i−i−iii-1-11111-1-100000000−i3−i3i3i3−3−333−3−333−i3−i3i3i3000000000000000000000000
χ6022-2-22-2-22−2i−2i2i2i2i2i−2i−2i-1-222i2i−2i−2i-22-111-111-1ii−i−i−i−iii−2i2i2i−2i2-2-221-1−i−iii1-1ii−i−i−i−iii-1-11111-1-100000000i3i3−i3−i333−3−333−3−3i3i3−i3−i3000000000000000000000000
χ612-22-22-22-22i−2i2i−2i2i−2i2i−2i22-22i−2i2i−2i-22-222-2-2-222i−2i2i−2i2i−2i2i−2i000000002-22i−2i2i−2i-2200000000000000002-200002i−2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ622-22-22-22-22i−2i2i−2i2i−2i2i−2i22-22i−2i2i−2i-22-222-2-2-222i−2i2i−2i2i−2i2i−2i000000002-22i−2i2i−2i-220000000000000000-220000−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
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χ642-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22−2i2i−2i2i2-2-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000-22−2i2i−2i2i2-200000000000000000000000000000000000000000000000000000000-22−2i2i0000
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Here i is the imaginary unit (i² = −1).