Finite Group Databasebeta

← Group #10692974

Character table — Group #10692974

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order12222222223446664446666661212121224446612121212121212124444121212121212121244448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ911111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1i−ii−iii−i−iii−i−i11-1-1ii−i−iii−i−i1-1
χ1011111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1i−ii−iii−i−iii−i−i-1-111−i−iii−i−iii-11
χ1111111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1−ii−ii−i−iii−i−iii11-1-1−i−iii−i−iii1-1
χ1211111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1−ii−ii−i−iii−i−iii-1-111ii−i−iii−i−i-11
χ1311111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111i−i−iiii−i−i−i−iii11-1-1ii−i−i−i−iii-11
χ1411111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111i−i−iiii−i−i−i−iii-1-111−i−iiiii−i−i1-1
χ1511111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111−iii−i−i−iiiii−i−i11-1-1−i−iiiii−i−i-11
χ1611111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111−iii−i−i−iiiii−i−i-1-111ii−i−i−i−iii1-1
χ1722222222222-2-2222-2-2-2222222-2-2-2-222-2-222-2-222-2-2-2-200000000000000000000000000
χ1822222222222-2-2222-2-2-2222222-2-2-2-2-2-222-2-222-2-2-2-22200000000000000000000000000
χ192222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ202222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ212222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-11122-2-2-1-1-1-1111100000000000000
χ222222222222-122-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-111-2-2221111-1-1-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-2-1-111-1-111110000−i3i3−i3i3−i3i3−i3i300000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-1111122-2-2-1-111-1-111110000i3−i3i3−i3i3−i3i3−i300000000000000
χ252222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-22211-1-11111-1-10000−i3i3−i3i3i3−i3i3−i300000000000000
χ262222222222-1-2-2-1-1-1-2-2-2-1-1-1-1-1-11111-2-22211-1-11111-1-10000i3−i3i3−i3−i3i3−i3i300000000000000
χ2722222-2-2-2-22222222-2-2222-2-2-2-222222-22-222-2-2-2-2-2-22200000000000000000000000000
χ2822222-2-2-2-22222222-2-2222-2-2-2-22222-22-22-2-22222-2-2-2-200000000000000000000000000
χ2922222-2-2-2-22-122-1-1-1-2-22-1-11111-1-1-1-12-22-2-1-1111111-1-100003−3−333−3−3300000000000000
χ3022222-2-2-2-22-122-1-1-1-2-22-1-11111-1-1-1-12-22-2-1-1111111-1-10000−333−3−333−300000000000000
χ3122222-2-2-2-22-122-1-1-1-2-22-1-11111-1-1-1-1-22-2211-1-1-1-1111100003−3−33−333−300000000000000
χ3222222-2-2-2-22-122-1-1-1-2-22-1-11111-1-1-1-1-22-2211-1-1-1-111110000−333−33−3−3300000000000000
χ3322222-2-2-2-22-1-2-2-1-1-122-2-1-1111111112-2-22-1-1-1-111-1-1112i−2i2i−2i−i−iii−i−iii00000000000000
χ3422222-2-2-2-22-1-2-2-1-1-122-2-1-1111111112-2-22-1-1-1-111-1-111−2i2i−2i2iii−i−iii−i−i00000000000000
χ3522222-2-2-2-22-1-2-2-1-1-122-2-1-111111111-222-21111-1-1-1-1-1-12i−2i−2i2i−i−iiiii−i−i00000000000000
χ3622222-2-2-2-22-1-2-2-1-1-122-2-1-111111111-222-21111-1-1-1-1-1-1−2i2i2i−2iii−i−i−i−iii00000000000000
χ372222-22-22-2-22222222-2-2-2-22-22-222-2-200000000002-20000000000000000002-22-2000000
χ382222-22-22-2-22222222-2-2-2-22-22-222-2-200000000002-2000000000000000000-22-22000000
χ392222-22-22-2-22-2-2222-222-2-22-22-2-2-2220000000000-2200000000000000000000002i−2i2i−2i00
χ402222-22-22-2-22-2-2222-222-2-22-22-2-2-2220000000000-220000000000000000000000−2i2i−2i2i00
χ412222-2-22-22-2222222-22-2-2-2-22-2222-2-20000000000-2200000000000000000000002-2-2200
χ422222-2-22-22-2222222-22-2-2-2-22-2222-2-20000000000-220000000000000000000000-222-200
χ432222-2-22-22-22-2-22222-22-2-2-22-22-2-22200000000002-20000000000000000002i−2i−2i2i000000
χ442222-2-22-22-22-2-22222-22-2-2-22-22-2-22200000000002-2000000000000000000−2i2i2i−2i000000
χ454444-44-44-4-4-244-2-2-24-4-422-22-22-2-2220000000000-220000000000000000000000000000
χ464444-44-44-4-4-2-4-4-2-2-2-44422-22-2222-2-200000000002-20000000000000000000000000000
χ474444-4-44-44-4-244-2-2-2-44-4222-22-2-2-22200000000002-20000000000000000000000000000
χ484444-4-44-44-4-2-4-4-2-2-24-44222-22-222-2-20000000000-220000000000000000000000000000
χ4944-4-444-4-44-44004-4-40004-44-4-4400000000000000000000000000000000000000000000
χ5044-4-444-4-44-4-200-222000-22-222-2000000000023−23000023−2300000000000000000000000000
χ5144-4-444-4-44-4-200-222000-22-222-20000000000−23230000−232300000000000000000000000000
χ5244-4-44-444-4-44004-4-40004-4-444-400000000000000000000000000000000000000000000
χ5344-4-44-444-4-4-200-222000-222-2-22000000000023−230000−232300000000000000000000000000
χ5444-4-44-444-4-4-200-222000-222-2-220000000000−2323000023−2300000000000000000000000000
χ5544-4-4-444-4-444004-4-4000-4444-4-400000000000000000000000000000000000000000000
χ5644-4-4-444-4-44-200-2220002-2-2-22200000000−2i32i300−2i32i3000000000000000000000000000000
χ5744-4-4-444-4-44-200-2220002-2-2-222000000002i3−2i3002i3−2i3000000000000000000000000000000
χ5844-4-4-4-4-44444004-4-4000-44-4-44400000000000000000000000000000000000000000000
χ5944-4-4-4-4-4444-200-2220002-222-2-200000000−2i32i3002i3−2i3000000000000000000000000000000
χ6044-4-4-4-4-4444-200-2220002-222-2-2000000002i3−2i300−2i32i3000000000000000000000000000000
χ614-44-400000044-4-4-440000000004-400000000000000000000000000002i−2i2i−2i0000000000
χ624-44-400000044-4-4-440000000004-40000000000000000000000000000−2i2i−2i2i0000000000
χ634-44-40000004-44-4-44000000000-4400000000000000000000000000002i−2i−2i2i0000000000
χ644-44-40000004-44-4-44000000000-440000000000000000000000000000−2i2i2i−2i0000000000
χ658-88-8000000-48-844-4000000000-44000000000000000000000000000000000000000000
χ668-88-8000000-4-8844-40000000004-4000000000000000000000000000000000000000000
χ678-8-88000000800-88-800000000000000000000000000000000000000000000000000000
χ688-8-88000000-4004-440000000000043−430000000000000000000000000000000000000000
χ698-8-88000000-4004-4400000000000−43430000000000000000000000000000000000000000

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