Finite Group Databasebeta

← Group #11711760

Character table — Group #11711760

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11111111333333334444448888888812121212121216161616161616161616161624242424242424242424242424242424
order1222222222222222444444366666664444441212121212121212121212122244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ92222222222222222222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ10222222222222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ112222222222222222-2-222-2-2-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000000000000
χ122222222222222222-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ13222-2-2-2-2222-2-2-22-220000002222-2-2-2-2000000000000000000002i−2i0000002i−2i0000
χ14222-2-2-2-2222-2-2-22-220000002222-2-2-2-200000000000000000000−2i2i000000−2i2i0000
χ1522-222-2-2-22-222-22-2-200000022-2-2-222-20000000000000000000000002i−2i0000002i−2i
χ1622-222-2-2-22-222-22-2-200000022-2-2-222-2000000000000000000000000−2i2i000000−2i2i
χ1722-2-2-222-22-2-2-2222-2002i−2i0022-2-22-2-22002i−2i0000002i2i−2i−2i00000000000000000000
χ1822-2-2-222-22-2-2-2222-2002i−2i00-1-111-111-1002i−2i0033−3−3−i−iii−i3−i3i3i30000000000000000
χ1922-2-2-222-22-2-2-2222-2002i−2i00-1-111-111-1002i−2i00−3−333−i−iiii3i3−i3−i30000000000000000
χ2022-2-2-222-22-2-2-2222-200−2i2i0022-2-22-2-2200−2i2i000000−2i−2i2i2i00000000000000000000
χ2122-2-2-222-22-2-2-2222-200−2i2i00-1-111-111-100−2i2i0033−3−3ii−i−ii3i3−i3−i30000000000000000
χ2222-2-2-222-22-2-2-2222-200−2i2i00-1-111-111-100−2i2i00−3−333ii−i−i−i3−i3i3i30000000000000000
χ232-222-22-2-2-222-222-2-20000002-22-2-22-2200000000000000000000002i−2i0000002i−2i00
χ242-222-22-2-2-222-222-2-20000002-22-2-22-220000000000000000000000−2i2i000000−2i2i00
χ252-22-22-22-2-22-22-222-200002i−2i2-22-22-22-200002i−2i000000002i−2i2i−2i0000000000000000
χ262-22-22-22-2-22-22-222-200002i−2i-11-11-11-1100002i−2i3−33−3−i3i3−i3i3−ii−ii0000000000000000
χ272-22-22-22-2-22-22-222-200002i−2i-11-11-11-1100002i−2i−33−33i3−i3i3−i3−ii−ii0000000000000000
χ282-22-22-22-2-22-22-222-20000−2i2i2-22-22-22-20000−2i2i00000000−2i2i−2i2i0000000000000000
χ292-22-22-22-2-22-22-222-20000−2i2i-11-11-11-110000−2i2i3−33−3i3−i3i3−i3i−ii−i0000000000000000
χ302-22-22-22-2-22-22-222-20000−2i2i-11-11-11-110000−2i2i−33−33−i3i3−i3i3i−ii−i0000000000000000
χ312-2-22-2-222-2-22-2-22222-200002-2-2222-2-22-200002-2-22000000000000000000000000
χ322-2-22-2-222-2-22-2-22222-20000-111-1-1-1112-20000-111-13−3−33−333−30000000000000000
χ332-2-22-2-222-2-22-2-22222-20000-111-1-1-1112-20000-111-1−333−33−3−330000000000000000
χ342-2-22-2-222-2-22-2-2222-2200002-2-2222-2-2-220000-222-2000000000000000000000000
χ352-2-22-2-222-2-22-2-2222-220000-111-1-1-111-2200001-1-113−3−333−3−330000000000000000
χ362-2-22-2-222-2-22-2-2222-220000-111-1-1-111-2200001-1-11−333−3−333−30000000000000000
χ372-2-2-222-22-2-2-2222-220000002-2-22-2-2220000000000000000002-20000002-2000000
χ382-2-2-222-22-2-2-2222-220000002-2-22-2-222000000000000000000-22000000-22000000
χ3933333333-1-1-1-1-1-1-1-133333300000000-1-1-1-1-1-100000000000011111111-1-1-1-1-1-1-1-1
χ4033333333-1-1-1-1-1-1-1-133333300000000-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-111111111
χ4133333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-111110000000000001111-1-1-1-1-1-1-1-11111
χ4233333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-11111000000000000-1-1-1-111111111-1-1-1-1
χ4333333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-11100000000000011-1-111-1-1-1-111-1-111
χ4433333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-111000000000000-1-111-1-11111-1-111-1-1
χ4533333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-100000000000011-1-1-1-111-1-11111-1-1
χ4633333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-1000000000000-1-11111-1-111-1-1-1-111
χ47444-4-4-4-4444-4-4-44-44000000-2-2-2-222220000000000000000000000000000000000
χ4844-444-4-4-44-444-44-4-4000000-2-2222-2-220000000000000000000000000000000000
χ494-444-44-4-4-444-444-4-4000000-22-222-22-20000000000000000000000000000000000
χ504-4-4-444-44-4-4-4444-44000000-222-222-2-20000000000000000000000000000000000
χ51666-6-6-6-66-2-2222-22-200000000000000000000000000000000002i−2i000000−2i2i0000
χ52666-6-6-6-66-2-2222-22-20000000000000000000000000000000000−2i2i0000002i−2i0000
χ5366-666-6-6-6-22-2-22-222000000000000000000000000000000000000002i−2i000000−2i2i
χ5466-666-6-6-6-22-2-22-22200000000000000000000000000000000000000−2i2i0000002i−2i
χ5566-6-6-666-6-2222-2-2-22006i−6i000000000000−2i2i000000000000000000000000000000
χ5666-6-6-666-6-2222-2-2-2200−6i6i0000000000002i−2i000000000000000000000000000000
χ576-666-66-6-62-2-22-2-2220000000000000000000000000000000000002i−2i000000−2i2i00
χ586-666-66-6-62-2-22-2-222000000000000000000000000000000000000−2i2i0000002i−2i00
χ596-66-66-66-62-22-22-2-2200006i−6i000000000000−2i2i0000000000000000000000000000
χ606-66-66-66-62-22-22-2-220000−6i6i0000000000002i−2i0000000000000000000000000000
χ616-6-66-6-66622-222-2-2-26-6000000000000-2200000000000000000000000000000000
χ626-6-66-6-66622-222-2-2-2-660000000000002-200000000000000000000000000000000
χ636-6-6-666-66222-2-2-22-2000000000000000000000000000000002-2000000-22000000
χ646-6-6-666-66222-2-2-22-200000000000000000000000000000000-220000002-2000000

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