Finite Group Databasebeta

← Group #11722963

Character table — Group #11722963

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order12223336666666663336666666664436662466666666121212121212121212121212121212124424661212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1111111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-11-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ51111111111111111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-111
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
χ9222222-122-1-122-1222-1-122-1-1-1-1-12-122-1-1-1-12022-1-1-1-1-1-122-1-10000-1-1-1-100000020-1-1000000
χ10222222-122-1-122-1222-1-122-1-1-1-1-12-122-1-1-1-1-20-2-211111122-1-10000-1-1-1-1000000-2011000000
χ11222222-122-1-122-1222-1-122-1-1-1-1-12-1-2-2-1-1-1-12022-1-1-1-1-1-1-2-21100001111000000-2011000000
χ12222222-122-1-122-1222-1-122-1-1-1-1-12-1-2-2-1-1-1-1-20-2-2111111-2-2110000111100000020-1-1000000
χ1322222-122-1222-12-12-12-1-1-122-1-1-1-1200-1-1-1-122-1-122-1-1-1-10000-1-1220000-1-1-1-1220000-1-10000
χ1422222-122-1222-12-12-12-1-1-122-1-1-1-1200-1-1-1-12-2-1-122-1-1-1-1000011-2-200001111-2-20000110000
χ1522222-122-1222-12-12-12-1-1-122-1-1-1-1200-1-1-1-1-2211-2-211110000-1-1220000-1-1-1-1-2-20000110000
χ1622222-122-1222-12-12-12-1-1-122-1-1-1-1200-1-1-1-1-2-211-2-21111000011-2-200001111220000-1-10000
χ172222-122-1222-1222-1-1-12-1-1-1-1222-1-122-1-1-1-10200000000-1-12222-1-1-1-1-1-1-1-1-1-100020000-1-100
χ182222-122-1222-1222-1-1-12-1-1-1-1222-1-122-1-1-1-10-200000000-1-122-2-211-1-1-1-11111000-200001100
χ192222-122-1222-1222-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-1020000000011-2-222-1-11111-1-1-1-1000-200001100
χ202222-122-1222-1222-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-10-20000000011-2-2-2-2111111111100020000-1-100
χ2122-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-2000000000000000000000000002i−2i00002i−2i0000
χ2222-2-2222222-2-2-2-2-2-22222-22-22-2-2-2-20022-2-200000000000000000000000000−2i2i0000−2i2i0000
χ2322-2-22-122-12-2-21-21-2-12-1-112-2-1111-200-1-11100−i3i300−i3−i3i3i300003−300000033−3−32i−2i0000−ii0000
χ2422-2-22-122-12-2-21-21-2-12-1-112-2-1111-200-1-11100−i3i300−i3−i3i3i30000−33000000−3−333−2i2i0000i−i0000
χ2522-2-22-122-12-2-21-21-2-12-1-112-2-1111-200-1-11100i3−i300i3i3−i3−i300003−300000033−3−3−2i2i0000i−i0000
χ2622-2-22-122-12-2-21-21-2-12-1-112-2-1111-200-1-11100i3−i300i3i3−i3−i30000−33000000−3−3332i−2i0000−ii0000
χ272-22-2222-2-2-22-22-2-22222-2-2-22-22-22-2002-22-20000000000000000000000000000000000002-2
χ282-22-2222-2-2-22-22-2-22222-2-2-22-22-22-2002-22-2000000000000000000000000000000000000-22
χ292-2-22222-2-2-2-22-222-2222-22-2-2-2-22-222-22-2-2200000000002-22-2000022-2-20000000000000000
χ302-2-22222-2-2-2-22-222-2222-22-2-2-2-22-22-222-2-220000000000-22-220000-2-2220000000000000000
χ312-2-2222-1-2-2112-2-12-22-1-1-221111-1-2-12-2-111-10000−i3i3−i3i3−i3i32-2-110000-1-11100000000−i3i3000000
χ322-2-2222-1-2-2112-2-12-22-1-1-221111-1-2-12-2-111-10000i3−i3i3−i3i3−i32-2-110000-1-11100000000i3−i3000000
χ332-2-2222-1-2-2112-2-12-22-1-1-221111-1-2-1-22-111-10000−i3i3−i3i3−i3i3-221-1000011-1-100000000i3−i3000000
χ342-2-2222-1-2-2112-2-12-22-1-1-221111-1-2-1-22-111-10000i3−i3i3−i3i3−i3-221-1000011-1-100000000−i3i3000000
χ352-2-22-1221-2-2-2-1-2221-1-121-111-2-221-12-2-111-10000000000-112-2003−3-1-1113−33−3000000003−300
χ362-2-22-1221-2-2-2-1-2221-1-121-111-2-221-12-2-111-10000000000-112-200−33-1-111−33−3300000000−3300
χ372-2-22-1221-2-2-2-1-2221-1-121-111-2-221-1-22-111-100000000001-1-22003−311-1-13−33−300000000−3300
χ382-2-22-1221-2-2-2-1-2221-1-121-111-2-221-1-22-111-100000000001-1-2200−3311-1-1−33−33000000003−300
χ3944444-2-24-2-2-24-2-2-24-2-21-2-2-2-2111-2-200111140-2-2-2-211110000000000000000000000000000
χ4044444-2-24-2-2-24-2-2-24-2-21-2-2-2-2111-2-2001111-402222-1-1-1-10000000000000000000000000000
χ414444-24-2-24-2-2-24-24-2-21-2-2-211-2-2-2-214411110000000000-2-2-2-2000011110000000000000000
χ424444-24-2-24-2-2-24-24-2-21-2-2-211-2-2-2-21-4-41111000000000022220000-1-1-1-10000000000000000
χ434444-2-24-2-244-2-24-2-21-2-211-2-2-2-2-21-200111104000000000000-2-2-2-200001111000000000000
χ444444-2-24-2-244-2-24-2-21-2-211-2-2-2-2-21-20011110-400000000000022220000-1-1-1-1000000000000
χ4544-4-444-244-22-4-42-4-44-2-24-4-22-222-4200-2-22200000000000000000000000000000000000000
χ4644-4-44-2-24-2-22-4222-4-2-21-22-221-1-1220011-1-100−2i32i300i3i3−i3−i30000000000000000000000000000
χ4744-4-44-2-24-2-22-4222-4-2-21-22-221-1-1220011-1-1002i3−2i300−i3−i3i3i30000000000000000000000000000
χ4844-4-4-244-244-42-4-4-42-2-24-22-224-4-42200-2-22200000000000000000000000000000000000000
χ4944-4-4-24-2-24-222-42-42-21-2-221-1-2222-10011-1-10000000000000000003i−3i3i−3i0000000000000000
χ5044-4-4-24-2-24-222-42-42-21-2-221-1-2222-10011-1-1000000000000000000−3i3i−3i3i0000000000000000
χ5144-4-4-2-24-2-24-422-4221-2-21-1-22-222-120011-1-10000000000000023−23000000−3−333000000000000
χ5244-4-4-2-24-2-24-422-4221-2-21-1-22-222-120011-1-100000000000000−232300000033−3−3000000000000
χ534-44-444-2-4-42-2-442-444-2-2-4-42-22-224200-22-2200000000000000000000000000000000000000
χ544-44-44-24-42-44-4-2-424-24-222-442-22-2-400-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-422-2-4-2224-2-21222-2-11-1-22001-11-10000003-3-330000000000000000000000000000
χ564-44-44-2-2-422-2-4-2224-2-21222-2-11-1-22001-11-1000000-333-30000000000000000000000000000
χ574-44-4-2442-4-4424-4-4-2-2-24222-2-44-4-2200-22-2200000000000000000000000000000000000000
χ584-44-4-24-22-42-2242-4-2-21-222-112-22-2-1001-11-10000000000000000003i−3i−3i3i0000000000000000
χ594-44-4-24-22-42-2242-4-2-21-222-112-22-2-1001-11-1000000000000000000−3i3i3i−3i0000000000000000
χ604-44-4-2-2422-442-2-42-21-2-2-1-12-22-2212001-11-100000000000000000000003-3-33000000000000
χ614-44-4-2-2422-442-2-42-21-2-2-1-12-22-2212001-11-10000000000000000000000-333-3000000000000
χ624-4-444-24-42-4-4424-2-4-24-22-2-4-422-22400-222-200000000000000000000000000000000000000
χ634-4-444-2-2-422242-2-2-4-2-212-222-1-112-2001-1-110000−2i32i3i3−i3i3−i30000000000000000000000000000
χ644-4-444-2-2-422242-2-2-4-2-212-222-1-112-2001-1-1100002i3−2i3−i3i3−i3i30000000000000000000000000000
χ654-4-44-24-22-422-2-4-242-21-22-2-1-122-2214-41-1-110000000000-22-22000011-1-10000000000000000
χ664-4-44-24-22-422-2-4-242-21-22-2-1-122-221-441-1-1100000000002-22-20000-1-1110000000000000000
χ674-4-44-2-2422-4-4-224-221-2-2-112222-2-1-2001-1-11000000000000000023−230000−33−33000000000000
χ684-4-44-2-2422-4-4-224-221-2-2-112222-2-1-2001-1-110000000000000000−232300003−33−3000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-4-4-44444442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-4444-44-444-4222-2-2-22-22-22-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-44444-44-4-44222-22-2-2-2-22-2200-111-100000000000000000000000000000000000000

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