Finite Group Databasebeta

← Group #11723000

Character table — Group #11723000

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order1222333666666666333666666666443666441212121212121212121212121212121212121212121212124424661212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-111111111-1-1-1-111111111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1111-1-1-1-11111111111-1-1-1-11111-1-1-11-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111111-1-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-111
χ81111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9222222-122-12-1-12222-1-122-1-1-1-12-1-122-1-1-1-120-1-122-1-1220000-1-1-1-1-1-1-1-100000020-1-1000000
χ10222222-122-12-1-12222-1-122-1-1-1-12-1-122-1-1-1-1-20-1-1-2-211220000-1-1-1-11111000000-2011000000
χ11222222-122-12-1-12222-1-122-1-1-1-12-1-1-2-2-1-1-1-1201122-1-1-2-200001111-1-1-1-1000000-2011000000
χ12222222-122-12-1-12222-1-122-1-1-1-12-1-1-2-2-1-1-1-1-2011-2-211-2-200001111111100000020-1-1000000
χ1322222-122-12222-1-12-12-1-1-122-1-1-12-122-1-1-1-102220000-1-1-1-122-1-1-1-10000-1-1-1-1000200-1-10000
χ1422222-122-12222-1-12-12-1-1-122-1-1-12-122-1-1-1-10-2220000-1-111-2-2-1-1-1-100001111000-200110000
χ1522222-122-12222-1-12-12-1-1-122-1-1-12-1-2-2-1-1-1-102-2-2000011-1-12211110000-1-1-1-1000-200110000
χ1622222-122-12222-1-12-12-1-1-122-1-1-12-1-2-2-1-1-1-10-2-2-200001111-2-2111100001111000200-1-10000
χ172222-122-122-12222-1-1-12-1-1-1-122-1-1200-1-1-1-12200-1-1220022-1-10000-1-1-1-1-1-1-1-122000000-1-100
χ182222-122-122-12222-1-1-12-1-1-1-122-1-1200-1-1-1-12-200-1-12200-2-2110000-1-1-1-11111-2-20000001100
χ192222-122-122-12222-1-1-12-1-1-1-122-1-1200-1-1-1-1-220011-2-20022-1-100001111-1-1-1-1-2-20000001100
χ202222-122-122-12222-1-1-12-1-1-1-122-1-1200-1-1-1-1-2-20011-2-200-2-21100001111111122000000-1-100
χ2122-2-2222-22-222-2-2-2-22222-2-2-22-2-22-20022-2-2000000000000000000000000002i−2i0000002i−2i00
χ2222-2-2222-22-222-2-2-2-22222-2-2-22-2-22-20022-2-200000000000000000000000000−2i2i000000−2i2i00
χ2322-2-2-12212-2-12-2-2-21-1-12-11112-21-1-200-1-1110000−i3i30000003−30000−i3−i3i3i333−3−32i−2i000000−ii00
χ2422-2-2-12212-2-12-2-2-21-1-12-11112-21-1-200-1-1110000−i3i3000000−330000−i3−i3i3i3−3−333−2i2i000000i−i00
χ2522-2-2-12212-2-12-2-2-21-1-12-11112-21-1-200-1-1110000i3−i30000003−30000i3i3−i3−i333−3−3−2i2i000000i−i00
χ2622-2-2-12212-2-12-2-2-21-1-12-11112-21-1-200-1-1110000i3−i3000000−330000i3i3−i3−i3−3−3332i−2i000000−ii00
χ272-22-22222-22-2-2-2-22-2222-222-2-22-2-2-22i−2i2-22-2002i−2i00002i−2i00002i2i−2i−2i00000000000000000000
χ282-22-22222-22-2-2-2-22-2222-222-2-22-2-2-2−2i2i2-22-200−2i2i0000−2i2i0000−2i−2i2i2i00000000000000000000
χ292-22-222-12-2-1-211-22-22-1-1-22-111-1-2112i−2i-11-1100−ii003−32i−2i0000−i−iii3−33−300000000−i3i3000000
χ302-22-222-12-2-1-211-22-22-1-1-22-111-1-2112i−2i-11-1100−ii00−332i−2i0000−i−iii−33−3300000000i3−i3000000
χ312-22-222-12-2-1-211-22-22-1-1-22-111-1-211−2i2i-11-1100i−i003−3−2i2i0000ii−i−i3−33−300000000i3−i3000000
χ322-22-222-12-2-1-211-22-22-1-1-22-111-1-211−2i2i-11-1100i−i00−33−2i2i0000ii−i−i−33−3300000000−i3i3000000
χ332-22-22-12212-2-2-21-1-2-12-11-12-21-11-212i−2i-11-11002i−2i0000−ii3−300−i−iii00003−33−3000000−i3i30000
χ342-22-22-12212-2-2-21-1-2-12-11-12-21-11-212i−2i-11-11002i−2i0000−ii−3300−i−iii0000−33−33000000i3−i30000
χ352-22-22-12212-2-2-21-1-2-12-11-12-21-11-21−2i2i-11-1100−2i2i0000i−i3−300ii−i−i00003−33−3000000i3−i30000
χ362-22-22-12212-2-2-21-1-2-12-11-12-21-11-21−2i2i-11-1100−2i2i0000i−i−3300ii−i−i0000−33−33000000−i3i30000
χ372-2-22222-2-2-2-2-222-22222-2-2-22-2-22-22002-2-220000000000000000000000000000000000002-2
χ382-2-22222-2-2-2-2-222-22222-2-2-22-2-22-22002-2-22000000000000000000000000000000000000-22
χ3944444-2-24-2-24-2-2-2-24-2-21-2-2-2-211-2-2144111100-2-20000-2-20000111100000000000000000000
χ4044444-2-24-2-24-2-2-2-24-2-21-2-2-2-211-2-21-4-4111100220000220000-1-1-1-100000000000000000000
χ414444-24-2-24-2-2-2-244-2-21-2-2-211-2-2-21-20011114000-2-2-2-2000000000011110000000000000000
χ424444-24-2-24-2-2-2-244-2-21-2-2-211-2-2-21-2001111-400022220000000000-1-1-1-10000000000000000
χ434444-2-24-2-24-244-2-2-21-2-211-2-2-2-21-2-20011110400000000-2-2-2-2000000001111000000000000
χ444444-2-24-2-24-244-2-2-21-2-211-2-2-2-21-2-20011110-400000000222200000000-1-1-1-1000000000000
χ4544-4-444-2-4424-22-4-4-44-2-24-422-22-4-2200-2-22200000000000000000000000000000000000000
χ4644-4-44-24-4-2-444-422-4-24-2-22-4-4-2224200-2-22200000000000000000000000000000000000000
χ4744-4-44-2-2-4-224-2222-4-2-21-22221-12-2-10011-1-1000000000000003i−3i3i−3i00000000000000000000
χ4844-4-44-2-2-4-224-2222-4-2-21-22221-12-2-10011-1-100000000000000−3i3i−3i3i00000000000000000000
χ4944-4-4-24-2242-2-22-4-42-21-2-22-1-1-222120011-1-10000−2i32i3000000000000i3i3−i3−i30000000000000000
χ5044-4-4-24-2242-2-22-4-42-21-2-22-1-1-222120011-1-100002i3−2i3000000000000−i3−i3i3i30000000000000000
χ5144-4-4-2-242-2-4-24-42221-2-21-122-22-1-220011-1-100000000000023−2300000000−3−333000000000000
χ5244-4-4-2-242-2-4-24-42221-2-21-122-22-1-220011-1-1000000000000−23230000000033−3−3000000000000
χ534-44-44-2-242-2-4222-2-4-2-212-2-22-1122-14i−4i1-11-100−2i2i0000−2i2i0000ii−i−i00000000000000000000
χ544-44-44-2-242-2-4222-2-4-2-212-2-22-1122-1−4i4i1-11-1002i−2i00002i−2i0000−i−iii00000000000000000000
χ554-44-4-244-2-442-4-4-442-2-242-2-22-4422-400-22-2200000000000000000000000000000000000000
χ564-44-4-24-2-2-4-2222-442-21-22-21-12-22-12001-11-100000023−230000000000−33−330000000000000000
χ574-44-4-24-2-2-4-2222-442-21-22-21-12-22-12001-11-1000000−232300000000003−33−30000000000000000
χ584-44-4-2-24-2242-4-42-221-2-2-11-222-2-122001-11-1000000000023−230000000000−33−33000000000000
χ594-44-4-2-24-2242-4-42-221-2-2-11-222-2-122001-11-10000000000−232300000000003−33−3000000000000
χ604-4-4444-2-4-42-42-24-444-2-2-4-42-22242-200-222-200000000000000000000000000000000000000
χ614-4-444-24-42-4-4-44-224-24-222-4422-2-4-200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-422-42-2-224-2-21222-2-1-1-221001-1-11000000000000003-3-3300000000000000000000
χ634-4-444-2-2-422-42-2-224-2-21222-2-1-1-221001-1-1100000000000000-333-300000000000000000000
χ644-4-44-2442-4-42-444-4-2-2-24222-2-4-4-22400-222-200000000000000000000000000000000000000
χ654-4-44-24-22-4222-24-4-2-21-222-1122-2-1-2001-1-110000000000000000003i−3i−3i3i0000000000000000
χ664-4-44-24-22-4222-24-4-2-21-222-1122-2-1-2001-1-11000000000000000000−3i3i3i−3i0000000000000000
χ674-4-44-2-2422-42-44-22-21-2-2-1-12-22212-2001-1-1100000000000000000000003-3-33000000000000
χ684-4-44-2-2422-42-44-22-21-2-2-1-12-22212-2001-1-110000000000000000000000-333-3000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-44-44-4-444442222-2-2-22-2-22-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4-44-44444-44222-222-2-22-2-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-444444-4-44-4222-2-2-22-2-22-2200-111-100000000000000000000000000000000000000

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