Finite Group Databasebeta

← Group #10845321

Character table — Group #10845321

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242422224444888888884444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111
χ9111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-111
χ10111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1
χ11111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1
χ12111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-11111-1-1-1-111
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-1-111
χ172222222222222-2-2-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-20000-2-22222-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-20000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-11100000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-100000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ292222-2-2-2-2222-2-2000022-22-2-2-22222−2−2−2−20022−2−20022-2-20000002222−2−2−2−22222−2−2−2−22-22-2000022−2−222−2−200000000000000000000
χ302222-2-2-2-2222-2-2000022-22-2-2-22222−2−2−2−20022−2−20022-2-20000002222−2−2−2−22222−2−2−2−2-22-220000−2−222−2−22200000000000000000000
χ312222-2-2-2-2222-2-2000022-22-2-2-2−2−2−2−2222200−2−2220022-2-2000000−2−2−2−22222−2−2−2−222222-22-20000−2−222−2−22200000000000000000000
χ322222-2-2-2-2222-2-2000022-22-2-2-2−2−2−2−2222200−2−2220022-2-2000000−2−2−2−22222−2−2−2−22222-22-22000022−2−222−2−200000000000000000000
χ332222-2-2-2-22-2-222000022-22-2-2-22222−2−2−2−200−2−22200-2-2220000002222−2−2−2−2−2−2−2−222222-2-22000022−2−2−2−22200000000000000000000
χ342222-2-2-2-22-2-222000022-22-2-2-22222−2−2−2−200−2−22200-2-2220000002222−2−2−2−2−2−2−2−22222-222-20000−2−22222−2−200000000000000000000
χ352222-2-2-2-22-2-222000022-22-2-2-2−2−2−2−222220022−2−200-2-222000000−2−2−2−222222222−2−2−2−22-2-220000−2−22222−2−200000000000000000000
χ362222-2-2-2-22-2-222000022-22-2-2-2−2−2−2−222220022−2−200-2-222000000−2−2−2−222222222−2−2−2−2-222-2000022−2−2−2−22200000000000000000000
χ3722-2-22-2-22200002-2-222-22-22-2-222-2-222-2-20000002-2000000002-222-2-222-2-2000000000000000000000000000000000000002i−2i2i−2i00
χ3822-2-22-2-22200002-2-222-22-22-2-222-2-222-2-20000002-2000000002-222-2-222-2-200000000000000000000000000000000000000−2i2i−2i2i00
χ3922-2-22-2-22200002-2-222-22-22-2-2-2-222-2-2220000002-2000000002-2-2-222-2-222000000000000000000000000000000000000002i−2i−2i2i00
χ4022-2-22-2-22200002-2-222-22-22-2-2-2-222-2-2220000002-2000000002-2-2-222-2-22200000000000000000000000000000000000000−2i2i2i−2i00
χ412-22-2-22-22200002-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i0000002-200000000-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002i−2i00002-2
χ422-22-2-22-22200002-22-2-22-2-222-22i−2i2i−2i2i−2i2i−2i0000002-200000000-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000−2i2i0000-22
χ432-22-2-22-22200002-22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i0000002-200000000-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002i−2i0000-22
χ442-22-2-22-22200002-22-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i0000002-200000000-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−2i2i00002-2
χ452-2-2222-2-222-22-20000-2-222-22-2−i2i2i2−i2i2−i2−i2i200−i2i2−i2i2002-22-2000000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2i200002i−2i2i−2i2−22−22−22−200000000000000000000
χ462-2-2222-2-222-22-20000-2-222-22-2−i2i2i2−i2i2−i2−i2i200−i2i2−i2i2002-22-2000000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2i20000−2i2i−2i2i−22−22−22−2200000000000000000000
χ472-2-2222-2-222-22-20000-2-222-22-2i2−i2−i2i2−i2i2i2−i200i2−i2i2−i2002-22-2000000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2i2i2−i2−i200002i−2i2i−2i−22−22−22−2200000000000000000000
χ482-2-2222-2-222-22-20000-2-222-22-2i2−i2−i2i2−i2i2i2−i200i2−i2i2−i2002-22-2000000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2i2i2−i2−i20000−2i2i−2i2i2−22−22−22−200000000000000000000
χ492-2-2222-2-22-22-220000-2-222-22-2−i2i2i2−i2i2−i2−i2i200i2−i2i2−i200-22-22000000−i2i2i2−i2i2−i2−i2i2i2i2−i2−i2i2i2−i2−i200002i−2i−2i2i2−22−2−22−2200000000000000000000
χ502-2-2222-2-22-22-220000-2-222-22-2−i2i2i2−i2i2−i2−i2i200i2−i2i2−i200-22-22000000−i2i2i2−i2i2−i2−i2i2i2i2−i2−i2i2i2−i2−i20000−2i2i2i−2i−22−222−22−200000000000000000000
χ512-2-2222-2-22-22-220000-2-222-22-2i2−i2−i2i2−i2i2i2−i200−i2i2−i2i200-22-22000000i2−i2−i2i2−i2i2i2−i2−i2−i2i2i2−i2−i2i2i200002i−2i−2i2i−22−222−22−200000000000000000000
χ522-2-2222-2-22-22-220000-2-222-22-2i2−i2−i2i2−i2i2i2−i200−i2i2−i2i200-22-22000000i2−i2−i2i2−i2i2i2−i2−i2−i2i2i2−i2−i2i2i20000−2i2i2i−2i2−22−2−22−2200000000000000000000
χ532-2-22-2-22222-2-2222-2-2-2-2-222-222i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i222-2-2222-2-2-2-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ542-2-22-2-22222-2-2222-2-2-2-2-222-22−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i222-2-2222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ552-2-22-2-22222-2-22-2-222-2-2-222-2200000000-220000-2-22-2-22-2-222220000000000000000000000002-2-222-2-2200000000000000000000
χ562-2-22-2-22222-2-22-2-222-2-2-222-2200000000-220000-2-22-2-22-2-22222000000000000000000000000-222-2-222-200000000000000000000
χ572-2-22-2-2222-222-222-2-2-2-2-222-222i−2i−2i2i2i−2i−2i2i-22−2i2i2i−2i22-222-2-2-222-2-22i−2i−2i2i2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ582-2-22-2-2222-222-222-2-2-2-2-222-22−2i2i2i−2i−2i2i2i−2i-222i−2i−2i2i22-222-2-2-222-2-2−2i2i2i−2i−2i2i2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ592-2-22-2-2222-222-2-2-222-2-2-222-22000000002-20000-2-2-222-222-2-2220000000000000000000000002-2-22-222-200000000000000000000
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χ612-2-22-2-222-12-2-2222-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i-1-1-111-1-1-11111−iii−i−iii−i−i−iiiii−i−i000000000000000000003−33−3−i3i3−i3i300000000
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χ632-2-22-2-222-12-2-2222-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i-1-1-111-1-1-11111i−i−iii−i−iiii−i−i−i−iii000000000000000000003−33−3i3−i3i3−i300000000
χ642-2-22-2-222-12-2-2222-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i-1-1-111-1-1-11111i−i−iii−i−iiii−i−i−i−iii00000000000000000000−33−33−i3i3−i3i300000000
χ652-2-22-2-222-1-222-222-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i-22−2i2i2i−2i-1-11-1-1111-1-111−iii−i−iii−iii−i−i−i−iii000000000000000000003−3−33−i3i3i3−i300000000
χ662-2-22-2-222-1-222-222-2-2111-1-11-12i−2i−2i2i2i−2i−2i2i-22−2i2i2i−2i-1-11-1-1111-1-111−iii−i−iii−iii−i−i−i−iii00000000000000000000−333−3i3−i3−i3i300000000
χ672-2-22-2-222-1-222-222-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i-222i−2i−2i2i-1-11-1-1111-1-111i−i−iii−i−ii−i−iiiii−i−i000000000000000000003−3−33i3−i3−i3i300000000
χ682-2-22-2-222-1-222-222-2-2111-1-11-1−2i2i2i−2i−2i2i2i−2i-222i−2i−2i2i-1-11-1-1111-1-111i−i−iii−i−ii−i−iiiii−i−i00000000000000000000−333−3−i3i3i3−i300000000
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χ734444-4-4-4-4-2-4-4440000-2-22-222222222222−22−22−22−2200−22−2222220022-2-2000000−2−2−2−222222222−2−2−2−2000000000000000000000000000000000000
χ744444-4-4-4-4-2-4-4440000-2-22-2222−22−22−22−2222222222002222−22−220022-2-20000002222−2−2−2−2−2−2−2−22222000000000000000000000000000000000000
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χ8444-4-4-444-4-200000000-22222-2-2−22−2222222222−22−22000000000000−2i32i3−2i32i30022−2−2−2−222−i6i6−i6i6i6−i6i6−i6000000000000000000000000000000000000
χ8544-4-4-444-4-200000000-22222-2-2−22−2222222222−22−220000000000002i3−2i32i3−2i30022−2−2−2−222i6−i6i6−i6−i6i6−i6i6000000000000000000000000000000000000
χ864-44-44-44-4400000000-444-4-4-44−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000000000
χ874-44-44-44-4400000000-444-4-4-442i2−2i22i2−2i2−2i22i2−2i22i20000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000000000
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χ914-44-44-44-4-2000000002-2-2222-22i2−2i22i2−2i2−2i22i2−2i22i20000000000002i3−2i3−2i32i300−i2i2−i2i2i2−i2i2−i26−6−666−6−66000000000000000000000000000000000000
χ924-44-4-44-4440000-44-44-44-4-444-400000000000000-44000000004-40000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-200004-44-42-222-2-224i−4i4i−4i4i−4i4i−4i000000-22000000002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ944-44-4-44-44-200004-44-42-222-2-22−4i4i−4i4i−4i4i−4i4i000000-22000000002-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ954-44-4-44-44-20000-44-442-222-2-22000000000000002-200000000-220000000023−23−2323−232323−23000000000000000000000000000000000000
χ964-44-4-44-44-20000-44-442-222-2-22000000000000002-200000000-2200000000−232323−2323−23−2323000000000000000000000000000000000000
χ974-4-4444-4-4-24-44-4000022-2-22-22−2i22i22i2−2i22i2−2i2−2i22i200−2i22i2−2i22i200-22-22000000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ984-4-4444-4-4-24-44-4000022-2-22-222i2−2i2−2i22i2−2i22i22i2−2i2002i2−2i22i2−2i200-22-22000000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ994-4-4444-4-4-2-44-44000022-2-22-22−2i22i22i2−2i22i2−2i2−2i22i2002i2−2i22i2−2i2002-22-2000000i2−i2−i2i2−i2i2i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ1004-4-4444-4-4-2-44-44000022-2-22-222i2−2i2−2i22i2−2i22i22i2−2i200−2i22i2−2i22i2002-22-2000000−i2i2i2−i2i2−i2−i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ1014-4-44-4-444-24-4-44-4-444222-2-22-200000000-44000022-222-222-2-2-2-20000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-444-4-4-444222-2-22-2000000004-40000222-2-22-2-222-2-20000000000000000000000000000000000000000000000000000

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