Finite Group Databasebeta

← Group #10950887

Character table — Group #10950887

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222222224444444444444444444466666666888888888812121212121212121212121216161616161616161616161648484848
order12223444444666888888121212121212161616161616161624242424444488882424484848484848484824881616161616161616444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-1
χ911111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ1011111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ1111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ1211111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ1311111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-222222200000000-2-2-2-22222-2-2-2-2-2-20000000022-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-222222200000000-2-2-2-2-2-2-2-22222-2-200000000-2-222000000000000000000000000
χ192222222-2-2-2-222200000022-2-2-2-222−2−222−2−2000022-2-200000022−2−222−2−22-20022−2−222−2−20000000000000000
χ202222222-2-2-2-222200000022-2-2-2-222−2−222−2−20000-2-22200000022−2−222−2−2-2200−2−222−2−2220000000000000000
χ212222222-2-2-2-222200000022-2-2-2-2−2−222−2−222000022-2-2000000−2−222−2−2222-200−2−222−2−2220000000000000000
χ222222222-2-2-2-222200000022-2-2-2-2−2−222−2−2220000-2-222000000−2−222−2−222-220022−2−222−2−20000000000000000
χ2322222-2-222-2-2222000000-2-222-2-222−2−2−2−222000022-2-200000022−2−2−2−222-220022−2−2−2−2220000000000000000
χ2422222-2-222-2-2222000000-2-222-2-222−2−2−2−2220000-2-22200000022−2−2−2−2222-200−2−22222−2−20000000000000000
χ2522222-2-222-2-2222000000-2-222-2-2−2−22222−2−2000022-2-2000000−2−22222−2−2-2200−2−22222−2−20000000000000000
χ2622222-2-222-2-2222000000-2-222-2-2−2−22222−2−20000-2-222000000−2−22222−2−22-20022−2−2−2−2220000000000000000
χ2722222-2-2-2-222222-2-2-2-222-2-2-2-22200000000-2-2-2-22222-2-2-2-22200000000-2-222000000000000000000000000
χ2822222-2-2-2-222222-2-2-2-222-2-2-2-22200000000-2-2-2-2-2-2-2-22222220000000022-2-2000000000000000000000000
χ292222-1222222-1-1-1222222-1-1-1-1-1-122222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-10000
χ302222-1222222-1-1-1222222-1-1-1-1-1-122222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2111111110000
χ312222-1222222-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-100000000-1-1111111110000000000002-22-2-1-111-1-1110000
χ322222-1222222-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-100000000-1-111111111000000000000-22-2211-1-111-1-10000
χ332222-1-2-2-2-222-1-1-12222-2-21111-1-12222-2-2-2-2-1-1-1-10000000011-1-1-1-1111100000000000022-2-2-1-1-1-111110000
χ342222-1-2-2-2-222-1-1-12222-2-21111-1-12222-2-2-2-2-1-1-1-10000000011-1-1-1-11111000000000000-2-2221111-1-1-1-10000
χ352222-1-2-2-2-222-1-1-12222-2-21111-1-1-2-2-2-22222-1-1-1-100000000111111-1-1-1-10000000000002-2-22-1-11111-1-10000
χ362222-1-2-2-2-222-1-1-12222-2-21111-1-1-2-2-2-22222-1-1-1-100000000111111-1-1-1-1000000000000-222-211-1-1-1-1110000
χ372-2-2222i−2i2i−2i2-2-2-220000002i−2i2i−2i2-22−22−2−i2i2−i2i20000000022-2-2002−22−2−i2i2−i2i2002i−2i2−22−2−i2i2−i2i20000000000000000
χ382-2-2222i−2i2i−2i2-2-2-220000002i−2i2i−2i2-22−22−2−i2i2−i2i200000000-2-222002−22−2−i2i2−i2i200−2i2i−22−22i2−i2i2−i20000000000000000
χ392-2-2222i−2i2i−2i2-2-2-220000002i−2i2i−2i2-2−22−22i2−i2i2−i20000000022-2-200−22−22i2−i2i2−i2002i−2i−22−22i2−i2i2−i20000000000000000
χ402-2-2222i−2i2i−2i2-2-2-220000002i−2i2i−2i2-2−22−22i2−i2i2−i200000000-2-22200−22−22i2−i2i2−i200−2i2i2−22−2−i2i2−i2i20000000000000000
χ412-2-2222i−2i−2i2i-22-2-2222-2-22i−2i2i−2i−2i2i-220000000022-2-2000000002i−2i0000000000002-2-22−2i2i2i−2i0000000000000000
χ422-2-2222i−2i−2i2i-22-2-2222-2-22i−2i2i−2i−2i2i-220000000022-2-2000000002i−2i000000000000-222-22i−2i−2i2i0000000000000000
χ432-2-2222i−2i−2i2i-22-2-22-2-222−2i2i2i−2i−2i2i-222-2-22−2i2i2i−2i-2-22200000000−2i2i2-2-22−2i2i2i−2i0000000000000000000000000000
χ442-2-2222i−2i−2i2i-22-2-22-2-222−2i2i2i−2i−2i2i-22-222-22i−2i−2i2i-2-22200000000−2i2i-222-22i−2i−2i2i0000000000000000000000000000
χ452-2-222−2i2i2i−2i-22-2-2222-2-2−2i2i−2i2i2i−2i-220000000022-2-200000000−2i2i0000000000002-2-222i−2i−2i2i0000000000000000
χ462-2-222−2i2i2i−2i-22-2-2222-2-2−2i2i−2i2i2i−2i-220000000022-2-200000000−2i2i000000000000-222-2−2i2i2i−2i0000000000000000
χ472-2-222−2i2i2i−2i-22-2-22-2-2222i−2i−2i2i2i−2i-222-2-222i−2i−2i2i-2-222000000002i−2i2-2-222i−2i−2i2i0000000000000000000000000000
χ482-2-222−2i2i2i−2i-22-2-22-2-2222i−2i−2i2i2i−2i-22-222-2−2i2i2i−2i-2-222000000002i−2i-222-2−2i2i2i−2i0000000000000000000000000000
χ492-2-222−2i2i−2i2i2-2-2-22000000−2i2i−2i2i2-22−22−2i2−i2i2−i20000000022-2-2002−22−2i2−i2i2−i200−2i2i2−22−2i2−i2i2−i20000000000000000
χ502-2-222−2i2i−2i2i2-2-2-22000000−2i2i−2i2i2-22−22−2i2−i2i2−i200000000-2-222002−22−2i2−i2i2−i2002i−2i−22−22−i2i2−i2i20000000000000000
χ512-2-222−2i2i−2i2i2-2-2-22000000−2i2i−2i2i2-2−22−22−i2i2−i2i20000000022-2-200−22−22−i2i2−i2i200−2i2i−22−22−i2i2−i2i20000000000000000
χ522-2-222−2i2i−2i2i2-2-2-22000000−2i2i−2i2i2-2−22−22−i2i2−i2i200000000-2-22200−22−22−i2i2−i2i2002i−2i2−22−2i2−i2i2−i20000000000000000
χ532-2-22-12i−2i−2i2i-2211-1-2-222−2i2i−iii−i1-12-2-22−2i2i2i−2i11-1-100000000i−i-111-1i−i−ii00000000000000003−33−3−i3i3−i3i30000
χ542-2-22-12i−2i−2i2i-2211-1-2-222−2i2i−iii−i1-12-2-22−2i2i2i−2i11-1-100000000i−i-111-1i−i−ii0000000000000000−33−33i3−i3i3−i30000
χ552-2-22-12i−2i−2i2i-2211-1-2-222−2i2i−iii−i1-1-222-22i−2i−2i2i11-1-100000000i−i1-1-11−iii−i00000000000000003−3−33−i3i3i3−i30000
χ562-2-22-12i−2i−2i2i-2211-1-2-222−2i2i−iii−i1-1-222-22i−2i−2i2i11-1-100000000i−i1-1-11−iii−i0000000000000000−333−3i3−i3−i3i30000
χ572-2-22-1−2i2i2i−2i-2211-1-2-2222i−2ii−i−ii1-12-2-222i−2i−2i2i11-1-100000000−ii-111-1−iii−i00000000000000003−33−3i3−i3i3−i30000
χ582-2-22-1−2i2i2i−2i-2211-1-2-2222i−2ii−i−ii1-12-2-222i−2i−2i2i11-1-100000000−ii-111-1−iii−i0000000000000000−33−33−i3i3−i3i30000
χ592-2-22-1−2i2i2i−2i-2211-1-2-2222i−2ii−i−ii1-1-222-2−2i2i2i−2i11-1-100000000−ii1-1-11i−i−ii00000000000000003−3−33i3−i3−i3i30000
χ602-2-22-1−2i2i2i−2i-2211-1-2-2222i−2ii−i−ii1-1-222-2−2i2i2i−2i11-1-100000000−ii1-1-11i−i−ii0000000000000000−333−3−i3i3i3−i30000
χ614444-2444444-2-2-2-4-4-4-4-4-4-2-2-2-2-2-20000000022220000000022000000000000000000000000000000000000
χ624444-244-4-4-4-4-2-2-2000000-2-222222222−22−222222−22−2200000000000000−2−222−2−2220000000000000000000000000000
χ634444-244-4-4-4-4-2-2-2000000-2-22222−22−222222−22−2222220000000000000022−2−222−2−20000000000000000000000000000
χ644444-2-4-444-4-4-2-2-200000022-2-2222222−22−22−22−22222200000000000000−2−22222−2−20000000000000000000000000000
χ654444-2-4-444-4-4-2-2-200000022-2-222−22−2222222222−22−220000000000000022−2−2−2−2220000000000000000000000000000
χ664444-2-4-4-4-444-2-2-2-4-4-4-4442222-2-200000000222200000000-2-2000000000000000000000000000000000000
χ6744-4-440000004-4-422−2222−22000000000000000022−2222−224-40022−2222−2200000000000000000000000000000000000000
χ6844-4-440000004-4-422−2222−22000000000000000022−2222−22-4400−2222−222200000000000000000000000000000000000000
χ6944-4-440000004-4-4−2222−22220000000000000000−2222−22224-400−2222−222200000000000000000000000000000000000000
χ7044-4-440000004-4-4−2222−22220000000000000000−2222−2222-440022−2222−2200000000000000000000000000000000000000
χ714-44-44000000-44-422−22−2222000000000000000022−22−2222004-422−22−222200000000000000000000000000000000000000
χ724-44-44000000-44-422−22−2222000000000000000022−22−222200-44−222222−2200000000000000000000000000000000000000
χ734-44-44000000-44-4−222222−220000000000000000−222222−22004-4−222222−2200000000000000000000000000000000000000
χ744-44-44000000-44-4−222222−220000000000000000−222222−2200-4422−22−222200000000000000000000000000000000000000
χ754-4-44-24i−4i4i−4i4-422-2000000−2i2i−2i2i-2222−2222−22−2i22i2−2i22i200000000000000−22−22i2−i2i2−i20000000000000000000000000000
χ764-4-44-24i−4i4i−4i4-422-2000000−2i2i−2i2i-22−2222−22222i2−2i22i2−2i2000000000000002−22−2−i2i2−i2i20000000000000000000000000000
χ774-4-44-24i−4i−4i4i-4422-244-4-44i−4i−2i2i2i−2i2-200000000-2-22200000000−2i2i000000000000000000000000000000000000
χ784-4-44-2−4i4i4i−4i-4422-244-4-4−4i4i2i−2i−2i2i2-200000000-2-222000000002i−2i000000000000000000000000000000000000
χ794-4-44-2−4i4i−4i4i4-422-20000002i−2i2i−2i-2222−2222−222i2−2i22i2−2i200000000000000−22−22−i2i2−i2i20000000000000000000000000000
χ804-4-44-2−4i4i−4i4i4-422-20000002i−2i2i−2i-22−2222−2222−2i22i2−2i22i2000000000000002−22−2i2−i2i2−i20000000000000000000000000000
χ8188-8-8-4000000-44442−4242−420000000000000000−2222−22220000000000000000000000000000000000000000000000
χ8288-8-8-4000000-444−4242−4242000000000000000022−2222−220000000000000000000000000000000000000000000000
χ838-88-8-40000004-4442−42−42420000000000000000−222222−220000000000000000000000000000000000000000000000
χ848-88-8-40000004-44−424242−42000000000000000022−22−22220000000000000000000000000000000000000000000000

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