Finite Group Databasebeta

← Group #10948974

Character table — Group #10948974

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222222244444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222223444466666666666666688884488888812121212121212122424242424242424242424242424242422222222666666666666666616161616161616162444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ6111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ7111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ8111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ91111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ121111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ131111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ141111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11
χ151111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11-11
χ161111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1111111111-11-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1
χ17222222222222222222222222222222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222222-2-2-2-22222222222222220000-2-2000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002−22−22−22−20000
χ1922222222222-2-2-2-22222222222222220000-2-2000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−22−22−22−220000
χ202222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ212222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ232222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ24222222-2-2-2-222222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222222-2-2-2-22-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ25222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-22000022000000-2-2-22222-200000000000000000000000000000000000000002−22−2−22−220000
χ26222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-2-2-22000022000000-2-2-22222-20000000000000000000000000000000000000000−22−222−22−20000
χ27222222-2-2-2-2-12222-1-1-1-1-1-111111111-12222-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ28222222-2-2-2-2-12222-1-1-1-1-1-111111111-12222-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ29222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ30222222-2-2-2-2-12222-1-1-1-1-1-111111111-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ312222-2-222-2-222-2-2222-2-2-2-22222-2-2-2-22-2-2-2-22-222-2-2222-2-222-2-22-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ322222-2-222-2-22-222-222-2-2-2-22222-2-2-2-220000-22000000-222-2-222-200000000000000000000000000000000000000002−2−222−2−220000
χ332222-2-222-2-22-222-222-2-2-2-22222-2-2-2-220000-22000000-222-2-222-20000000000000000000000000000000000000000−222−2−222−20000
χ342222-2-222-2-2-12-2-22-1-11111-1-1-1-11111-122222-2-2-222-2-2-111-1-111-1-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ352222-2-222-2-2-12-2-22-1-11111-1-1-1-11111-122222-2-2-222-2-2-111-1-111-1-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ362222-2-222-2-2-12-2-22-1-11111-1-1-1-11111-1-2-2-2-22-222-2-222-111-1-111-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ372222-2-222-2-2-12-2-22-1-11111-1-1-1-11111-1-2-2-2-22-222-2-222-111-1-111-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ382222-2-2-2-22222-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2-222222-2-22-2-2-2-2222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ392222-2-2-2-2222-222-222-2-2-2-2-2-2-2-22222200002-2000000-22222-2-2-200000000000000000000000000000000000000002−2−22−222−20000
χ402222-2-2-2-2222-222-222-2-2-2-2-2-2-2-22222200002-2000000-22222-2-2-20000000000000000000000000000000000000000−222−22−2−220000
χ412222-2-2-2-222-12-2-22-1-111111111-1-1-1-1-12222-22-2-2-2-222-11111-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ422222-2-2-2-222-12-2-22-1-111111111-1-1-1-1-12222-22-2-2-2-222-11111-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ432222-2-2-2-222-12-2-22-1-111111111-1-1-1-1-1-2-2-2-2-222222-2-2-11111-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ442222-2-2-2-222-12-2-22-1-111111111-1-1-1-1-1-2-2-2-2-222222-2-2-11111-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-2-222-200002-22-22-2-222-2-200000000222-2-2002-20000-22-20000222-2-222-2-20000000000002-22-2000000002-22-22-22-2000000000000
χ462-2-222-200002-22-22-2-222-2-200000000222-2-2002-20000-22-20000222-2-222-2-2000000000000-22-2200000000-22-22-22-22000000000000
χ472-2-222-200002-22-22-2-222-2-2000000002-2-22200-220000-22-200002-2-222-2-222000000002-22-200002-22-22-22-200000000000000000000
χ482-2-222-200002-22-22-2-222-2-2000000002-2-22200-220000-22-200002-2-222-2-22200000000-22-220000-22-22-22-2200000000000000000000
χ492-2-222-20000-1-22-2211-1-111−i3−i3i3i3−i3−i3i3i3-122-2-2002-200001-11−i3i3−i3i3-1-1-111-1-111−i3−i3i3i3−i3−i3i3i300002-22-2−i3i3i3−i3−i3i3i3−i3-11-11-11-11000000000000
χ502-2-222-20000-1-22-2211-1-111−i3−i3i3i3−i3−i3i3i3-122-2-2002-200001-11−i3i3−i3i3-1-1-111-1-111−i3−i3i3i3−i3−i3i3i30000-22-22i3−i3−i3i3i3−i3−i3i31-11-11-11-1000000000000
χ512-2-222-20000-1-22-2211-1-111−i3−i3i3i3−i3−i3i3i3-1-2-22200-2200001-11−i3i3−i3i3-111-1-111-1-1i3i3−i3−i3i3i3−i3−i32-22-20000-11-11-11-11−i3i3i3−i3−i3i3i3−i3000000000000
χ522-2-222-20000-1-22-2211-1-111−i3−i3i3i3−i3−i3i3i3-1-2-22200-2200001-11−i3i3−i3i3-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3-22-2200001-11-11-11-1i3−i3−i3i3i3−i3−i3i3000000000000
χ532-2-222-20000-1-22-2211-1-111i3i3−i3−i3i3i3−i3−i3-122-2-2002-200001-11i3−i3i3−i3-1-1-111-1-111i3i3−i3−i3i3i3−i3−i300002-22-2i3−i3−i3i3i3−i3−i3i3-11-11-11-11000000000000
χ542-2-222-20000-1-22-2211-1-111i3i3−i3−i3i3i3−i3−i3-122-2-2002-200001-11i3−i3i3−i3-1-1-111-1-111i3i3−i3−i3i3i3−i3−i30000-22-22−i3i3i3−i3−i3i3i3−i31-11-11-11-1000000000000
χ552-2-222-20000-1-22-2211-1-111i3i3−i3−i3i3i3−i3−i3-1-2-22200-2200001-11i3−i3i3−i3-111-1-111-1-1−i3−i3i3i3−i3−i3i3i32-22-20000-11-11-11-11i3−i3−i3i3i3−i3−i3i3000000000000
χ562-2-222-20000-1-22-2211-1-111i3i3−i3−i3i3i3−i3−i3-1-2-22200-2200001-11i3−i3i3−i3-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3-22-2200001-11-11-11-1−i3i3i3−i3−i3i3i3−i3000000000000
χ572-2-22-2200002-2-222-2-2-2-22200000000222-2-200-220000-2-220000222-2-2-2-2220000000000002-2-22000000002-22-2-22-22000000000000
χ582-2-22-2200002-2-222-2-2-2-22200000000222-2-200-220000-2-220000222-2-2-2-222000000000000-222-200000000-22-222-22-2000000000000
χ592-2-22-2200002-2-222-2-2-2-222000000002-2-222002-20000-2-2200002-2-22222-2-2000000002-2-2200002-22-2-22-2200000000000000000000
χ602-2-22-2200002-2-222-2-2-2-222000000002-2-222002-20000-2-2200002-2-22222-2-200000000-222-20000-22-222-22-200000000000000000000
χ612-2-22-220000-1-2-2221111-1-1−i3−i3i3i3i3i3−i3−i3-122-2-200-22000011-1−i3i3i3−i3-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i300002-2-22−i3i3i3−i3i3−i3−i3i3-11-111-11-1000000000000
χ622-2-22-220000-1-2-2221111-1-1−i3−i3i3i3i3i3−i3−i3-122-2-200-22000011-1−i3i3i3−i3-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000-222-2i3−i3−i3i3−i3i3i3−i31-11-1-11-11000000000000
χ632-2-22-220000-1-2-2221111-1-1−i3−i3i3i3i3i3−i3−i3-1-2-222002-2000011-1−i3i3i3−i3-111-1-1-1-111i3i3−i3−i3−i3−i3i3i32-2-220000-11-111-11-1−i3i3i3−i3i3−i3−i3i3000000000000
χ642-2-22-220000-1-2-2221111-1-1−i3−i3i3i3i3i3−i3−i3-1-2-222002-2000011-1−i3i3i3−i3-111-1-1-1-111i3i3−i3−i3−i3−i3i3i3-222-200001-11-1-11-11i3−i3−i3i3−i3i3i3−i3000000000000
χ652-2-22-220000-1-2-2221111-1-1i3i3−i3−i3−i3−i3i3i3-122-2-200-22000011-1i3−i3−i3i3-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i300002-2-22i3−i3−i3i3−i3i3i3−i3-11-111-11-1000000000000
χ662-2-22-220000-1-2-2221111-1-1i3i3−i3−i3−i3−i3i3i3-122-2-200-22000011-1i3−i3−i3i3-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000-222-2−i3i3i3−i3i3−i3−i3i31-11-1-11-11000000000000
χ672-2-22-220000-1-2-2221111-1-1i3i3−i3−i3−i3−i3i3i3-1-2-222002-2000011-1i3−i3−i3i3-111-1-1-1-111−i3−i3i3i3i3i3−i3−i32-2-220000-11-111-11-1i3−i3−i3i3−i3i3i3−i3000000000000
χ682-2-22-220000-1-2-2221111-1-1i3i3−i3−i3−i3−i3i3i3-1-2-222002-2000011-1i3−i3−i3i3-111-1-1-1-111−i3−i3i3i3i3i3−i3−i3-222-200001-11-1-11-11−i3i3i3−i3i3−i3−i3i3000000000000
χ694444444444-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-4-4000000222222220000000000000000000000000000000000000000000000000000
χ70444444-4-4-4-4-2-4-4-4-4-2-2-2-2-2-222222222-2000044000000222-2-2-2-220000000000000000000000000000000000000000000000000000
χ714444-4-444-4-4-2-444-4-2-22222-2-2-2-22222-20000-440000002-2-222-2-220000000000000000000000000000000000000000000000000000
χ724444-4-4-4-444-2-444-4-2-222222222-2-2-2-2-200004-40000002-2-2-2-22220000000000000000000000000000000000000000000000000000
χ7344-4-400004-4400004-4000000004-44-4-422−2222−2200000022−220000000022−2222−220000000022−2222−22000000000000000000000000000000000000
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χ7544-4-400004-4-20000-22−2i32i3−2i32i3−2i32i3−2i32i3-22-22222−2222−2200000022−2200000000−22−22i6−i6i6−i6i6−i6i6−i6−22−22000000000000000000000000000000000000
χ7644-4-400004-4-20000-22−2i32i3−2i32i3−2i32i3−2i32i3-22-222−2222−2222000000−2222000000002−22−2−i6i6−i6i6−i6i6−i6i62−22−2000000000000000000000000000000000000
χ7744-4-400004-4-20000-222i3−2i32i3−2i32i3−2i32i3−2i3-22-22222−2222−2200000022−2200000000−22−22−i6i6−i6i6−i6i6−i6i6−22−22000000000000000000000000000000000000
χ7844-4-400004-4-20000-222i3−2i32i3−2i32i3−2i32i3−2i3-22-222−2222−2222000000−2222000000002−22−2i6−i6i6−i6i6−i6i6−i62−22−2000000000000000000000000000000000000
χ7944-4-40000-44400004-400000000-44-44-422−2222−22000000−22220000000022−2222−2200000000−2222−2222000000000000000000000000000000000000
χ8044-4-40000-44400004-400000000-44-44-4−2222−222200000022−2200000000−2222−22220000000022−2222−22000000000000000000000000000000000000
χ8144-4-40000-44-20000-22−2i32i3−2i32i32i3−2i32i3−2i32-22-2222−2222−22000000−222200000000−22−22i6−i6i6−i6−i6i6−i6i62−22−2000000000000000000000000000000000000
χ8244-4-40000-44-20000-22−2i32i3−2i32i32i3−2i32i3−2i32-22-22−2222−222200000022−22000000002−22−2−i6i6−i6i6i6−i6i6−i6−22−22000000000000000000000000000000000000
χ8344-4-40000-44-20000-222i3−2i32i3−2i3−2i32i3−2i32i32-22-2222−2222−22000000−222200000000−22−22−i6i6−i6i6i6−i6i6−i62−22−2000000000000000000000000000000000000
χ8444-4-40000-44-20000-222i3−2i32i3−2i3−2i32i3−2i32i32-22-22−2222−222200000022−22000000002−22−2i6−i6i6−i6−i6i6−i6i6−22−22000000000000000000000000000000000000
χ854-44-4004-40040000-4400004-4-440000-422−22−2222000022−22000000000022−22−22220000−222222−220000000000000000000000000000000000000000
χ864-44-4004-40040000-4400004-4-440000-4−222222−220000−22220000000000−222222−22000022−22−22220000000000000000000000000000000000000000
χ874-44-4004-400-200002-2−2i32i32i3−2i3-222-2−2i32i32i3−2i3222−22−2222000022−220000000000−222−2i6−i6−i6i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ884-44-4004-400-200002-2−2i32i32i3−2i3-222-2−2i32i32i3−2i32−222222−220000−222200000000002−2−22−i6i6i6−i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ894-44-4004-400-200002-22i3−2i3−2i32i3-222-22i3−2i3−2i32i3222−22−2222000022−220000000000−222−2−i6i6i6−i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ904-44-4004-400-200002-22i3−2i3−2i32i3-222-22i3−2i3−2i32i32−222222−220000−222200000000002−2−22i6−i6−i6i6−222−2−i6i6i6−i6000000000000000000000000000000000000
χ914-44-400-440040000-440000-444-40000-422−22−22220000−2222000000000022−22−2222000022−22−22220000000000000000000000000000000000000000
χ924-44-400-440040000-440000-444-40000-4−222222−22000022−220000000000−222222−220000−222222−220000000000000000000000000000000000000000
χ934-44-400-4400-200002-2−2i32i32i3−2i32-2-222i3−2i3−2i32i3222−22−22220000−22220000000000−222−2i6−i6−i6i6−222−2i6−i6−i6i6000000000000000000000000000000000000
χ944-44-400-4400-200002-2−2i32i32i3−2i32-2-222i3−2i3−2i32i32−222222−22000022−2200000000002−2−22−i6i6i6−i62−2−22−i6i6i6−i6000000000000000000000000000000000000
χ954-44-400-4400-200002-22i3−2i3−2i32i32-2-22−2i32i32i3−2i3222−22−22220000−22220000000000−222−2−i6i6i6−i6−222−2−i6i6i6−i6000000000000000000000000000000000000
χ964-44-400-4400-200002-22i3−2i3−2i32i32-2-22−2i32i32i3−2i32−222222−22000022−2200000000002−2−22i6−i6−i6i62−2−22i6−i6−i6i6000000000000000000000000000000000000
χ974-4-444-4000044-44-4-4-444-4-40000000040000000000004-440000-40000000000000000000000000000000000000000000000000000
χ984-4-444-40000-24-44-422-2-222−2i3−2i32i32i3−2i3−2i32i32i3-2000000000000-22-22i3−2i32i3−2i320000000000000000000000000000000000000000000000000000
χ994-4-444-40000-24-44-422-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-2000000000000-22-2−2i32i3−2i32i320000000000000000000000000000000000000000000000000000
χ1004-4-44-440000444-4-4-4-4-4-44400000000400000000000044-40000-40000000000000000000000000000000000000000000000000000
χ1014-4-44-440000-244-4-42222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-2000000000000-2-222i3−2i3−2i32i320000000000000000000000000000000000000000000000000000
χ1024-4-44-440000-244-4-42222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-2000000000000-2-22−2i32i32i3−2i320000000000000000000000000000000000000000000000000000

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