Finite Group Databasebeta

← Group #11722962

Character table — Group #11722962

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366624666666661212121212121212121212121212121222246666121244
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
χ9222222-1222-1-122-122-1-122-1-1-1-1-12-100-1-1-1-12222-1-1-1-1-1-10000-1-1220000-1-1-1-1220000-1-10000
χ10222222-1222-1-122-122-1-122-1-1-1-1-12-100-1-1-1-12-222-1-1-1-1-1-1000011-2-200001111-2-20000110000
χ11222222-1222-1-122-122-1-122-1-1-1-1-12-100-1-1-1-1-22-2-21111110000-1-1220000-1-1-1-1-2-20000110000
χ12222222-1222-1-122-122-1-122-1-1-1-1-12-100-1-1-1-1-2-2-2-2111111000011-2-200001111220000-1-10000
χ1322222-122-1-1222-122-12-1-1-122-1-1-1-1222-1-1-1-120-1-122-1-1-1-122-1-10000-1-1-1-100000020-1-1000000
χ1422222-122-1-1222-122-12-1-1-122-1-1-1-1222-1-1-1-1-2011-2-2111122-1-10000-1-1-1-1000000-2011000000
χ1522222-122-1-1222-122-12-1-1-122-1-1-1-12-2-2-1-1-1-120-1-122-1-1-1-1-2-21100001111000000-2011000000
χ1622222-122-1-1222-122-12-1-1-122-1-1-1-12-2-2-1-1-1-1-2011-2-21111-2-2110000111100000020-1-1000000
χ172222-122-12222-122-1-1-12-1-1-1-1222-1-122-1-1-1-10200000000-1-12222-1-1-1-1-1-1-1-1-1-100020000-1-100
χ182222-122-12222-122-1-1-12-1-1-1-1222-1-122-1-1-1-10-200000000-1-122-2-211-1-1-1-11111000-200001100
χ192222-122-12222-122-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-1020000000011-2-222-1-11111-1-1-1-1000-200001100
χ202222-122-12222-122-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-10-20000000011-2-2-2-2111111111100020000-1-100
χ2122-2-222222-22-2-2-2-2-22222-22-22-2-2-2-20022-2-20000000000000000000000000000000000002i−2i
χ2222-2-222222-22-2-2-2-2-22222-22-22-2-2-2-20022-2-2000000000000000000000000000000000000−2i2i
χ232-22-2222-2-22-2-2-2-222222-22-2-2-22-2-22002-22-2000000000000000000000000002-200002-20000
χ242-22-2222-2-22-2-2-2-222222-22-2-2-22-2-22002-22-200000000000000000000000000-220000-220000
χ252-22-222-1-2-2211-2-2-122-1-1-22111-11-2-100-11-110000−i3i3−i3−i3i3i30000−i3i3000000−i3−i3i3i32-20000-110000
χ262-22-222-1-2-2211-2-2-122-1-1-22111-11-2-100-11-110000−i3i3−i3−i3i3i30000i3−i3000000i3i3−i3−i3-2200001-10000
χ272-22-222-1-2-2211-2-2-122-1-1-22111-11-2-100-11-110000i3−i3i3i3−i3−i30000−i3i3000000−i3−i3i3i3-2200001-10000
χ282-22-222-1-2-2211-2-2-122-1-1-22111-11-2-100-11-110000i3−i3i3i3−i3−i30000i3−i3000000i3i3−i3−i32-20000-110000
χ292-2-22222-2-2-2-2222-2-2222-2-2-22-2-222-22-22-2-2200000000002-22-2000022-2-20000000000000000
χ302-2-22222-2-2-2-2222-2-2222-2-2-22-2-222-2-222-2-220000000000-22-220000-2-2220000000000000000
χ312-2-222-12-211-222-1-2-2-12-111-2211-1-1-22-2-111-100−i3i300−i3i3−i3i32-2-110000-1-11100000000−i3i3000000
χ322-2-222-12-211-222-1-2-2-12-111-2211-1-1-22-2-111-100i3−i300i3−i3i3−i32-2-110000-1-11100000000i3−i3000000
χ332-2-222-12-211-222-1-2-2-12-111-2211-1-1-2-22-111-100−i3i300−i3i3−i3i3-221-1000011-1-100000000i3−i3000000
χ342-2-222-12-211-222-1-2-2-12-111-2211-1-1-2-22-111-100i3−i300i3−i3i3−i3-221-1000011-1-100000000−i3i3000000
χ352-2-22-1221-2-2-22-12-21-1-12111-1-2-22-112-2-111-10000000000-112-2003−3-1-1113−33−3000000003−300
χ362-2-22-1221-2-2-22-12-21-1-12111-1-2-22-112-2-111-10000000000-112-200−33-1-111−33−3300000000−3300
χ372-2-22-1221-2-2-22-12-21-1-12111-1-2-22-11-22-111-100000000001-1-22003−311-1-13−33−300000000−3300
χ382-2-22-1221-2-2-22-12-21-1-12111-1-2-22-11-22-111-100000000001-1-2200−3311-1-1−33−33000000003−300
χ3944444-2-24-2-2-2-24-2-24-2-21-2-2-2-2111-2-200111140-2-2-2-211110000000000000000000000000000
χ4044444-2-24-2-2-2-24-2-24-2-21-2-2-2-2111-2-2001111-402222-1-1-1-10000000000000000000000000000
χ414444-24-2-244-2-2-24-2-2-21-2-2-211-2-2-2-2100111104000000000000-2-2-2-200001111000000000000
χ424444-24-2-244-2-2-24-2-2-21-2-2-211-2-2-2-210011110-400000000000022220000-1-1-1-1000000000000
χ434444-2-24-2-2-244-2-24-21-2-211-2-2-2-2-21-24411110000000000-2-2-2-2000011110000000000000000
χ444444-2-24-2-2-244-2-24-21-2-211-2-2-2-2-21-2-4-41111000000000022220000-1-1-1-10000000000000000
χ4544-4-444-244-4-22-4-42-44-2-24-4-22-222-4200-2-22200000000000000000000000000000000000000
χ4644-4-44-244-224-4-42-4-4-24-2-224-4-2222-400-2-22200000000000000000000000000000000000000
χ4744-4-44-2-24-22-22-422-4-2-21-22-221-1-1220011-1-10000003-3-330000000000000000000000000000
χ4844-4-44-2-24-22-22-422-4-2-21-22-221-1-1220011-1-1000000-333-30000000000000000000000000000
χ4944-4-4-244-24-44-42-4-42-2-24-22-224-4-42200-2-22200000000000000000000000000000000000000
χ5044-4-4-24-2-24-4-222-422-21-2-221-1-2222-10011-1-100000000000000000000003i−3i−3i3i000000000000
χ5144-4-4-24-2-24-4-222-422-21-2-221-1-2222-10011-1-10000000000000000000000−3i3i3i−3i000000000000
χ5244-4-4-2-24-2-224-422-421-2-21-1-22-222-120011-1-10000000000000000003i−3i3i−3i0000000000000000
χ5344-4-4-2-24-2-224-422-421-2-21-1-22-222-120011-1-1000000000000000000−3i3i−3i3i0000000000000000
χ544-44-44-24-42-2-4-4-4244-24-22-2-4-42-222400-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-42-222-42-24-2-212-222-11-12-2001-11-10000−2i32i3i3i3−i3−i30000000000000000000000000000
χ564-44-44-2-2-42-222-42-24-2-212-222-11-12-2001-11-100002i3−2i3−i3−i3i3i30000000000000000000000000000
χ574-44-4-2442-44-4-42-44-2-2-242-222-44-42-200-22-2200000000000000000000000000000000000000
χ584-44-4-24-22-44222-4-2-2-21-22-2-1-12-2221001-11-100000000000000−2i32i3000000i3i3−i3−i3000000000000
χ594-44-4-24-22-44222-4-2-2-21-22-2-1-12-2221001-11-1000000000000002i3−2i3000000−i3−i3i3i3000000000000
χ604-44-4-2-2422-2-4-4224-21-2-2-11222-22-1-2001-11-10000000000000000003i−3i−3i3i0000000000000000
χ614-44-4-2-2422-2-4-4224-21-2-2-11222-22-1-2001-11-1000000000000000000−3i3i3i−3i0000000000000000
χ624-4-4444-2-4-4-42-2442-44-2-2-4-42-222-24200-222-200000000000000000000000000000000000000
χ634-4-444-2-2-4222-24-22-4-2-21222-2-1-11-22001-1-1100−2i32i300i3−i3i3−i30000000000000000000000000000
χ644-4-444-2-2-4222-24-22-4-2-21222-2-1-11-22001-1-11002i3−2i300−i3i3−i3i30000000000000000000000000000
χ654-4-44-24-22-4-42-2-2422-21-222-1122-2-2-1001-1-11000000000000000023−230000−33−33000000000000
χ664-4-44-24-22-4-42-2-2422-21-222-1122-2-2-1001-1-110000000000000000−232300003−33−3000000000000
χ674-4-44-2-24222-44-2-2-421-2-2-1-12-222-2124-41-1-110000000000-22-22000011-1-10000000000000000
χ684-4-44-2-24222-44-2-2-421-2-2-1-12-222-212-441-1-1100000000002-22-20000-1-1110000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-4-44-4444442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-444-44444-4-4222-22-2-2-22-2-2200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-44444-4-4-444222-2-2-22-2-222-200-111-100000000000000000000000000000000000000

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