Finite Group Databasebeta

← Group #10847389

Character table — Group #10847389

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order12222222222234444444444446666666121212121212121244444466661212121212121212121212121212121212121212444444441212121212121212121212121212121288888888888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1
χ71111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1
χ81111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-11
χ911111111-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1111111111-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1
χ1411111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ1511111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ1611111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ172222222222222-2-2-2-2-2-22222-2-2222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ19222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222222-1222222-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222222-1222222-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-2-2-2-22-2-222222222-2-2222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-22222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ3022222222-2-2-2-2-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ3122222222-2-2-2-2-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ3222222222-2-2-2-2-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-111111111-2-222221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ3322222222-2-2-2-2-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3422222222-2-2-2-2-1-2-222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ3522222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ3622222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3722-222-2-2-200002002i2i−2i−2i2i2i−2i−2i0022-2-2-22-22i2i2i2i−2i−2i−2i−2i002-2000000000000002i2i−2i−2i000022-2-200000000000000000000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−20000
χ3822-222-2-2-200002002i2i−2i−2i2i2i−2i−2i0022-2-2-22-22i2i2i2i−2i−2i−2i−2i002-2000000000000002i2i−2i−2i000022-2-2000000000000000000000000−2−222i2i2−i2−i2i2i2−i2−i2−2−2220000
χ3922-222-2-2-200002002i2i−2i−2i−2i−2i2i2i0022-2-2-22-2−2i−2i−2i−2i2i2i2i2i00-22000000000000002i2i−2i−2i0000-2-22200000000000000000000000022−2−2−i2−i2i2i2i2i2−i2−i2−2−2220000
χ4022-222-2-2-200002002i2i−2i−2i−2i−2i2i2i0022-2-2-22-2−2i−2i−2i−2i2i2i2i2i00-22000000000000002i2i−2i−2i0000-2-222000000000000000000000000−2−222i2i2−i2−i2−i2−i2i2i222−2−20000
χ4122-222-2-2-20000200−2i−2i2i2i2i2i−2i−2i0022-2-2-22-22i2i2i2i−2i−2i−2i−2i00-2200000000000000−2i−2i2i2i0000-2-22200000000000000000000000022−2−2i2i2−i2−i2−i2−i2i2i2−2−2220000
χ4222-222-2-2-20000200−2i−2i2i2i2i2i−2i−2i0022-2-2-22-22i2i2i2i−2i−2i−2i−2i00-2200000000000000−2i−2i2i2i0000-2-222000000000000000000000000−2−222−i2−i2i2i2i2i2−i2−i222−2−20000
χ4322-222-2-2-20000200−2i−2i2i2i−2i−2i2i2i0022-2-2-22-2−2i−2i−2i−2i2i2i2i2i002-200000000000000−2i−2i2i2i000022-2-200000000000000000000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−20000
χ4422-222-2-2-20000200−2i−2i2i2i−2i−2i2i2i0022-2-2-22-2−2i−2i−2i−2i2i2i2i2i002-200000000000000−2i−2i2i2i000022-2-2000000000000000000000000−2−222−i2−i2i2i2−i2−i2i2i2−2−2220000
χ452-222-22-2-2000022-200002i−2i2i−2i2-22-22-2-2-222i2i−2i−2i2i2i−2i−2i2i−2i00000000000022-2-200002i2i−2i−2i000000000000000000000000000000002-22-200002i−2i2i−2i0000
χ462-222-22-2-2000022-200002i−2i2i−2i2-22-22-2-2-222i2i−2i−2i2i2i−2i−2i2i−2i00000000000022-2-200002i2i−2i−2i00000000000000000000000000000000-22-220000−2i2i−2i2i0000
χ472-222-22-2-2000022-20000−2i2i−2i2i2-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i−2i2i00000000000022-2-20000−2i−2i2i2i000000000000000000000000000000002-22-20000−2i2i−2i2i0000
χ482-222-22-2-2000022-20000−2i2i−2i2i2-22-22-2-2-22−2i−2i2i2i−2i−2i2i2i−2i2i00000000000022-2-20000−2i−2i2i2i00000000000000000000000000000000-22-2200002i−2i2i−2i0000
χ492-222-22-2-200002-2200002i−2i2i−2i-222-22-2-2-222i2i−2i−2i2i2i−2i−2i−2i2i000000000000-2-2220000−2i−2i2i2i00000000000000000000000000002i−2i2i−2i00002-22-200000000
χ502-222-22-2-200002-2200002i−2i2i−2i-222-22-2-2-222i2i−2i−2i2i2i−2i−2i−2i2i000000000000-2-2220000−2i−2i2i2i0000000000000000000000000000−2i2i−2i2i0000-22-2200000000
χ512-222-22-2-200002-220000−2i2i−2i2i-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i2i−2i000000000000-2-22200002i2i−2i−2i00000000000000000000000000002i−2i2i−2i0000-22-2200000000
χ522-222-22-2-200002-220000−2i2i−2i2i-222-22-2-2-22−2i−2i2i2i−2i−2i2i2i2i−2i000000000000-2-22200002i2i−2i−2i0000000000000000000000000000−2i2i−2i2i00002-22-200000000
χ532-2-22-2-22222-2-220000002-2-22002-2-222-2-222-2-2-2-22200002-222-2-222-2-20000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000
χ542-2-22-2-22222-2-220000002-2-22002-2-222-2-222-2-2-2-22200002-222-2-222-2-20000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000
χ552-2-22-2-22222-2-22000000-222-2002-2-222-2-2-2-22222-2-20000-2222-2-2-2-2220000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000
χ562-2-22-2-22222-2-22000000-222-2002-2-222-2-2-2-22222-2-20000-2222-2-2-2-2220000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000
χ572-2-22-2-222-2-22220000002-2-22002-2-222-2-222-2-2-2-2220000-22-2-222-2-2220000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000
χ582-2-22-2-222-2-22220000002-2-22002-2-222-2-222-2-2-2-2220000-22-2-222-2-2220000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000
χ592-2-22-2-222-2-2222000000-222-2002-2-222-2-2-2-22222-2-200002-2-2-22222-2-20000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000
χ602-2-22-2-222-2-2222000000-222-2002-2-222-2-2-2-22222-2-200002-2-2-22222-2-20000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000
χ612-2-2-222-222-22-222-22-22-20000-22-2-2-2-2222000000000000002-22-200002-22-22-22-20000000000002-22-2000000002-22-22-22-200000000000000000000
χ622-2-2-222-222-22-222-22-22-20000-22-2-2-2-2222000000000000002-22-200002-22-22-22-2000000000000-22-2200000000-22-22-22-2200000000000000000000
χ632-2-2-222-222-22-22-22-22-2200002-2-2-2-2-2222000000000000002-22-20000-22-22-22-22000000002-22-200002-22-22-22-20000000000000000000000000000
χ642-2-2-222-222-22-22-22-22-2200002-2-2-2-2-2222000000000000002-22-20000-22-22-22-2200000000-22-220000-22-22-22-220000000000000000000000000000
χ652-2-2-222-222-22-2-12-22-22-20000-221111-1-1-1−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i3-11-11-11-11−i3i3−i3i3−i3i3−i3i300002-22-2−i3i3i3−i3−i3i3i3−i3-11-11-11-1100000000000000000000
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χ692-2-2-222-222-22-2-1-22-22-2200002-21111-1-1-1−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i31-11-11-11-1i3−i3i3−i3i3−i3i3−i32-22-20000-11-11-11-11−i3i3i3−i3−i3i3i3−i300000000000000000000
χ702-2-2-222-222-22-2-1-22-22-2200002-21111-1-1-1−i3i3−i3i3−i3i3−i3i3000000-11-11−i3i3−i3i31-11-11-11-1i3−i3i3−i3i3−i3i3−i3-22-2200001-11-11-11-1i3−i3−i3i3i3−i3−i3i300000000000000000000
χ712-2-2-222-222-22-2-1-22-22-2200002-21111-1-1-1i3−i3i3−i3i3−i3i3−i3000000-11-11i3−i3i3−i31-11-11-11-1−i3i3−i3i3−i3i3−i3i32-22-20000-11-11-11-11i3−i3−i3i3i3−i3−i3i300000000000000000000
χ722-2-2-222-222-22-2-1-22-22-2200002-21111-1-1-1i3−i3i3−i3i3−i3i3−i3000000-11-11i3−i3i3−i31-11-11-11-1−i3i3−i3i3−i3i3−i3i3-22-2200001-11-11-11-1−i3i3i3−i3−i3i3i3−i300000000000000000000
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χ742-2-2-222-22-22-2222-2-22-220000-22-2-2-2-222200000000000000-22-2200002-22-2-22-22000000000000-222-200000000-22-222-22-200000000000000000000
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χ1024-444-44-4-40000-24-40000−4i4i−4i4i4-4-22-2222-22i2i−2i−2i2i2i−2i−2i−4i4i000000000000-2-22200002i2i−2i−2i000000000000000000000000000000000000000000000000
χ1034-444-44-4-40000-2-4400004i−4i4i−4i-44-22-2222-2−2i−2i2i2i−2i−2i2i2i−4i4i00000000000022-2-200002i2i−2i−2i000000000000000000000000000000000000000000000000
χ1044-444-44-4-40000-2-440000−4i4i−4i4i-44-22-2222-22i2i−2i−2i2i2i−2i−2i4i−4i00000000000022-2-20000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ1054-44-44-44-400004004i−4i−4i4i000000-4-444-44-4000000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
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χ1084-44-44-44-40000-2004i−4i−4i4i00000022-2-22-22−2323−232323−2323−23000000000000000000−2i2i2i−2i00002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1094-44-44-44-40000-200−4i4i4i−4i00000022-2-22-2223−2323−23−2323−23230000000000000000002i−2i−2i2i00002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1104-44-44-44-40000-200−4i4i4i−4i00000022-2-22-22−2323−232323−2323−230000000000000000002i−2i−2i2i0000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ1114-4-44-4-44444-4-4-20000004-4-4400-222-2-222-2-22222-2-200004-4-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-4-44444-4-4-2000000-444-400-222-2-22222-2-2-2-2220000-44-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-4-444-4-444-20000004-4-4400-222-2-222-2-22222-2-20000-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-444-4-444-2000000-444-400-222-2-22222-2-2-2-22200004-422-2-2-2-222000000000000000000000000000000000000000000000000000000000000

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