Finite Group Databasebeta

← Group #10945078

Character table — Group #10945078

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444444888888888812121212121212121212121212121212161616161616161616161616242424244848
order1222222222223666222444444446666666666661212121212121212222244444444444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1
χ91111-1-11111111111-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-11-1
χ101111-1-11111111111-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-11-11-1-111-1-111-1-111-11
χ111111-1-11111111111-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-1-111-11
χ121111-1-11111111111-1-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-1-111-1-11111-1-11-1
χ131111-1-11111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-11111-1-1-11
χ141111-1-11111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1111-1
χ151111-1-11111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-111-1-1111-1
χ161111-1-11111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-111-1-1-11
χ17222222222222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000000
χ18222222222222-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000000
χ19222222222222-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000000
χ20222222222222-1-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000000
χ2122222222-2-2-2-222222-2-200000000-2-222-2-222-2-22-200000000000022220000-2-2-2-2000000000000000000
χ2222222222-2-2-2-222222-2-200000000-2-222-2-222-2-22-2000000000000-2-2-2-200002222000000000000000000
χ23222222-2-222-2-22222-22-200000000-2-222-2-2-2-222-220000000022220000-2-2-2-20000000000000000000000
χ24222222-2-222-2-22222-22-200000000-2-222-2-2-2-222-2200000000-2-2-2-2000022220000000000000000000000
χ25222222-2-2-2-2222222-2-222222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000
χ26222222-2-2-2-2222222-2-22-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000000000
χ27222222-2-2-2-222-1-1-1-1-2-222222-2-2-2-2-1-1-1-1-1-1111111-1-111-1-111000000000000000000003−33−33−33−3000000
χ28222222-2-2-2-222-1-1-1-1-2-222222-2-2-2-2-1-1-1-1-1-1111111-1-111-1-11100000000000000000000−33−33−33−33000000
χ29222222-2-2-2-222-1-1-1-1-2-22-2-2-2-22222-1-1-1-1-1-111111111-1-111-1-1000000000000000000003−33−3−33−33000000
χ30222222-2-2-2-222-1-1-1-1-2-22-2-2-2-22222-1-1-1-1-1-111111111-1-111-1-100000000000000000000−33−333−33−3000000
χ312222-2-2222222-1-1-1-1-2-2-222-2-222-2-2-1-11111-1-1-1-111-1-1-1-1111100000000000000002-22-2-1-111-1-111000000
χ322222-2-2222222-1-1-1-1-2-2-222-2-222-2-2-1-11111-1-1-1-111-1-1-1-111110000000000000000-22-2211-1-111-1-1000000
χ332222-2-2222222-1-1-1-1-2-2-2-2-222-2-222-1-11111-1-1-1-1111111-1-1-1-100000000000000002-2-22-1-11111-1-1000000
χ342222-2-2222222-1-1-1-1-2-2-2-2-222-2-222-1-11111-1-1-1-1111111-1-1-1-10000000000000000-222-211-1-1-1-111000000
χ352222-2-222-2-2-2-22222-22200000000-2-2-2-22222-2-2-2200000000000022-2-20000-2-222000000000000000000
χ362222-2-222-2-2-2-22222-22200000000-2-2-2-22222-2-2-22000000000000-2-222000022-2-2000000000000000000
χ372222-2-2-2-222-2-222222-2200000000-2-2-2-222-2-2222-20000000022-2-20000-2-2220000000000000000000000
χ382222-2-2-2-222-2-222222-2200000000-2-2-2-222-2-2222-200000000-2-222000022-2-20000000000000000000000
χ392222-2-2-2-2-2-222222222-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000000000
χ402222-2-2-2-2-2-222222222-2-2-22222-2-222-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000000000
χ412222-2-2-2-2-2-222-1-1-1-122-222-2-2-2-222-1-111111111-1-1-1-11111-1-1000000000000000000003−3−333−3−33000000
χ422222-2-2-2-2-2-222-1-1-1-122-222-2-2-2-222-1-111111111-1-1-1-11111-1-100000000000000000000−333−3−333−3000000
χ432222-2-2-2-2-2-222-1-1-1-122-2-2-22222-2-2-1-111111111-1-111-1-1-1-111000000000000000000003−3−33−333−3000000
χ442222-2-2-2-2-2-222-1-1-1-122-2-2-22222-2-2-1-111111111-1-111-1-1-1-11100000000000000000000−333−33−3−33000000
χ452-22-2002-22-22-222-2-2000002i−2i002i−2i2-200002-22-20000002i−2i2i−2i002-22i−2i00002-22i−2i00000000000000000000
χ462-22-2002-22-22-222-2-2000002i−2i002i−2i2-200002-22-20000002i−2i2i−2i00-22−2i2i0000-22−2i2i00000000000000000000
χ472-22-2002-22-22-222-2-200000−2i2i00−2i2i2-200002-22-2000000−2i2i−2i2i002-2−2i2i00002-2−2i2i00000000000000000000
χ482-22-2002-22-22-222-2-200000−2i2i00−2i2i2-200002-22-2000000−2i2i−2i2i00-222i−2i0000-222i−2i00000000000000000000
χ492-22-2002-2-22-2222-2-20002i−2i002i−2i00-2200002-2-22002i−2i2i−2i00002-2002i−2i002-200−2i2i00000000000000000000
χ502-22-2002-2-22-2222-2-20002i−2i002i−2i00-2200002-2-22002i−2i2i−2i0000-2200−2i2i00-22002i−2i00000000000000000000
χ512-22-2002-2-22-2222-2-2000−2i2i00−2i2i00-2200002-2-2200−2i2i−2i2i00002-200−2i2i002-2002i−2i00000000000000000000
χ522-22-2002-2-22-2222-2-2000−2i2i00−2i2i00-2200002-2-2200−2i2i−2i2i0000-22002i−2i00-2200−2i2i00000000000000000000
χ532-22-200-222-2-2222-2-20002i−2i00−2i2i00-220000-222-2002i−2i−2i2i0000002-2002i−2i00-22002i−2i000000000000000000
χ542-22-200-222-2-2222-2-20002i−2i00−2i2i00-220000-222-2002i−2i−2i2i000000-2200−2i2i002-200−2i2i000000000000000000
χ552-22-200-222-2-2222-2-2000−2i2i002i−2i00-220000-222-200−2i2i2i−2i0000002-200−2i2i00-2200−2i2i000000000000000000
χ562-22-200-222-2-2222-2-2000−2i2i002i−2i00-220000-222-200−2i2i2i−2i000000-22002i−2i002-2002i−2i000000000000000000
χ572-22-200-22-222-222-2-2000002i−2i00−2i2i2-20000-22-220000002i−2i−2i2i2-200002i−2i-220000−2i2i000000000000000000
χ582-22-200-22-222-222-2-2000002i−2i00−2i2i2-20000-22-220000002i−2i−2i2i-220000−2i2i2-200002i−2i000000000000000000
χ592-22-200-22-222-222-2-200000−2i2i002i−2i2-20000-22-22000000−2i2i2i−2i2-20000−2i2i-2200002i−2i000000000000000000
χ602-22-200-22-222-222-2-200000−2i2i002i−2i2-20000-22-22000000−2i2i2i−2i-2200002i−2i2-20000−2i2i000000000000000000
χ6144444444-4-4-4-4-2-2-2-24-4-40000000022-2-222-2-222-22000000000000000000000000000000000000000000
χ62444444-4-444-4-4-2-2-2-2-44-40000000022-2-22222-2-22-2000000000000000000000000000000000000000000
χ634444-4-444-4-4-4-4-2-2-2-2-444000000002222-2-2-2-2222-2000000000000000000000000000000000000000000
χ644444-4-4-4-444-4-4-2-2-2-24-44000000002222-2-222-2-2-22000000000000000000000000000000000000000000
χ6544-4-44-40000004-44-400000000000004-4000000000000000000000000000000000000000000002i−2i2i−2i00
χ6644-4-44-40000004-44-400000000000004-400000000000000000000000000000000000000000000−2i2i−2i2i00
χ6744-4-4-440000004-44-40000000000000-44000000000000000000000000000000000000000000002i−2i−2i2i00
χ6844-4-4-440000004-44-40000000000000-4400000000000000000000000000000000000000000000−2i2i2i−2i00
χ694-44-4004-44-44-4-2-222000004i−4i004i−4i-220000-22-22000000−2i2i−2i2i0000000000000000000000000000000000
χ704-44-4004-44-44-4-2-22200000−4i4i00−4i4i-220000-22-220000002i−2i2i−2i0000000000000000000000000000000000
χ714-44-4004-4-44-44-2-2220004i−4i004i−4i002-20000-222-200−2i2i−2i2i00000000000000000000000000000000000000
χ724-44-4004-4-44-44-2-222000−4i4i00−4i4i002-20000-222-2002i−2i2i−2i00000000000000000000000000000000000000
χ734-44-400-444-4-44-2-2220004i−4i00−4i4i002-200002-2-2200−2i2i2i−2i00000000000000000000000000000000000000
χ744-44-400-444-4-44-2-222000−4i4i004i−4i002-200002-2-22002i−2i−2i2i00000000000000000000000000000000000000
χ754-44-400-44-444-4-2-222000004i−4i00−4i4i-2200002-22-2000000−2i2i2i−2i0000000000000000000000000000000000
χ764-44-400-44-444-4-2-22200000−4i4i004i−4i-2200002-22-20000002i−2i−2i2i0000000000000000000000000000000000
χ7788-8-88-8000000-44-440000000000000-4400000000000000000000000000000000000000000000000000
χ7888-8-8-88000000-44-4400000000000004-400000000000000000000000000000000000000000000000000
χ798-8-88000000008-8-8800000000000000000000000000000000000000000000000000000000000000000
χ808-8-8800000000-444-4000000000000000−4i34i3000000000000000000000000000000000000000000000000
χ818-8-8800000000-444-40000000000000004i3−4i3000000000000000000000000000000000000000000000000

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