Finite Group Databasebeta

← Group #11711764

Character table — Group #11711764

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11111111333333334444448888888812121212121216161616161616161616161624242424242424242424242424242424
order1222222222222222444444366666664444441212121212121212121212122222444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ61111111111111111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ71111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ13222-22-2-2-2222-2-2-2-22002i−2i00222-2-22-2-2002i−2i0000002i2i−2i−2i00000000000000000000
χ14222-22-2-2-2222-2-2-2-22002i−2i00-1-1-111-111002i−2i00−i3−i3i3i3−i−iii33−3−30000000000000000
χ15222-22-2-2-2222-2-2-2-22002i−2i00-1-1-111-111002i−2i00i3i3−i3−i3−i−iii−3−3330000000000000000
χ16222-22-2-2-2222-2-2-2-2200−2i2i00222-2-22-2-200−2i2i000000−2i−2i2i2i00000000000000000000
χ17222-22-2-2-2222-2-2-2-2200−2i2i00-1-1-111-11100−2i2i00−i3−i3i3i3ii−i−i−3−3330000000000000000
χ18222-22-2-2-2222-2-2-2-2200−2i2i00-1-1-111-11100−2i2i00i3i3−i3−i3ii−i−i33−3−30000000000000000
χ1922-22-22-2-22-2-222-2-222i−2i000022-22-2-22-22i−2i00002i−2i2i−2i000000000000000000000000
χ2022-22-22-2-22-2-222-2-222i−2i0000-1-11-111-112i−2i0000−ii−ii−i3i3−i3i33−33−30000000000000000
χ2122-22-22-2-22-2-222-2-222i−2i0000-1-11-111-112i−2i0000−ii−iii3−i3i3−i3−33−330000000000000000
χ2222-22-22-2-22-2-222-2-22−2i2i000022-22-2-22-2−2i2i0000−2i2i−2i2i000000000000000000000000
χ2322-22-22-2-22-2-222-2-22−2i2i0000-1-11-111-11−2i2i0000i−ii−i−i3i3−i3i3−33−330000000000000000
χ2422-22-22-2-22-2-222-2-22−2i2i0000-1-11-111-11−2i2i0000i−ii−ii3−i3i3−i33−33−30000000000000000
χ2522-2-2-2-2222-2-2-2-222200002-222-2-22-2-2200002-2000000002-2-220000000000000000
χ2622-2-2-2-2222-2-2-2-222200002-2-1-111-111-100002-23−3−33−333−3-111-10000000000000000
χ2722-2-2-2-2222-2-2-2-222200002-2-1-111-111-100002-2−333−33−3−33-111-10000000000000000
χ2822-2-2-2-2222-2-2-2-22220000-2222-2-22-2-220000-2200000000-222-20000000000000000
χ2922-2-2-2-2222-2-2-2-22220000-22-1-111-111-10000-223−3−333−3−331-1-110000000000000000
χ3022-2-2-2-2222-2-2-2-22220000-22-1-111-111-10000-22−333−3−333−31-1-110000000000000000
χ312-222-2-22-2-22-22-22-220000002-2222-2-2-20000000000000000000000002i−2i002i−2i0000
χ322-222-2-22-2-22-22-22-220000002-2222-2-2-2000000000000000000000000−2i2i00−2i2i0000
χ332-22-2-22-22-22-2-22-2220000002-22-2-2-2220000000000000000002-200000000002-200
χ342-22-2-22-22-22-2-22-2220000002-22-2-2-222000000000000000000-220000000000-2200
χ352-2-222-2-22-2-222-2-2220000002-2-22-22-22000000000000000000002-200000000002-2
χ362-2-222-2-22-2-222-2-2220000002-2-22-22-2200000000000000000000-220000000000-22
χ372-2-2-2222-2-2-22-222-220000002-2-2-2222-200000000000000000000002-2002-2000000
χ382-2-2-2222-2-2-22-222-220000002-2-2-2222-20000000000000000000000-2200-22000000
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
χ4133333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-1111100000000000011-1-111-1-1-1-111-1-111
χ4233333333-1-1-1-1-1-1-1-133-3-3-3-300000000-1-11111000000000000-1-111-1-11111-1-111-1-1
χ4333333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-11100000000000011-1-1-1-11111-1-1-1-111
χ4433333333-1-1-1-1-1-1-1-1-3-333-3-30000000011-1-111000000000000-1-11111-1-1-1-11111-1-1
χ4533333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-10000000000001111-1-1-1-11111-1-1-1-1
χ4633333333-1-1-1-1-1-1-1-1-3-3-3-333000000001111-1-1000000000000-1-1-1-11111-1-1-1-11111
χ474-444-4-44-4-44-44-44-44000000-22-2-2-22220000000000000000000000000000000000
χ484-44-4-44-44-44-4-44-444000000-22-2222-2-20000000000000000000000000000000000
χ494-4-444-4-44-4-444-4-444000000-222-22-22-20000000000000000000000000000000000
χ504-4-4-4444-4-4-44-444-44000000-2222-2-2-220000000000000000000000000000000000
χ51666-66-6-6-6-2-2-22222-2006i−6i000000000000−2i2i000000000000000000000000000000
χ52666-66-6-6-6-2-2-22222-200−6i6i0000000000002i−2i000000000000000000000000000000
χ5366-66-66-6-6-222-2-222-26i−6i000000000000−2i2i00000000000000000000000000000000
χ5466-66-66-6-6-222-2-222-2−6i6i0000000000002i−2i00000000000000000000000000000000
χ5566-6-6-6-666-22222-2-2-200006-6000000000000-220000000000000000000000000000
χ5666-6-6-6-666-22222-2-2-20000-660000000000002-20000000000000000000000000000
χ576-666-6-66-62-22-22-22-2000000000000000000000000000000000000002i−2i00−2i2i0000
χ586-666-6-66-62-22-22-22-200000000000000000000000000000000000000−2i2i002i−2i0000
χ596-66-6-66-662-222-22-2-2000000000000000000000000000000002-20000000000-2200
χ606-66-6-66-662-222-22-2-200000000000000000000000000000000-2200000000002-200
χ616-6-666-6-6622-2-222-2-200000000000000000000000000000000002-20000000000-22
χ626-6-666-6-6622-2-222-2-20000000000000000000000000000000000-2200000000002-2
χ636-6-6-6666-622-22-2-22-20000000000000000000000000000000000002-200-22000000
χ646-6-6-6666-622-22-2-22-2000000000000000000000000000000000000-22002-2000000

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