Finite Group Databasebeta

← Group #11723035

Character table — Group #11723035

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order122233366666666633366666666644366644121212121212121212121212121212121212121212121212444412121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1111111-1-111-1-111111111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-111111-1-111-1-1111111-1-1-1-11111-1-1-11-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-111111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-111
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
χ9222222-1222-12-12-122-1-122-1-1-1-12-1-122-1-1-1-10222-1-100-1-10022-1-1-1-10000-1-1-1-1000200-1-10000
χ10222222-1222-12-12-122-1-122-1-1-1-12-1-122-1-1-1-10-222-1-1001100-2-2-1-1-1-100001111000-200110000
χ11222222-1222-12-12-122-1-122-1-1-1-12-1-1-2-2-1-1-1-102-2-21100-1-1002211110000-1-1-1-1000-200110000
χ12222222-1222-12-12-122-1-122-1-1-1-12-1-1-2-2-1-1-1-10-2-2-211001100-2-2111100001111000200-1-10000
χ1322222-1222-12-12-122-12-1-1-122-1-1-12-122-1-1-1-120-1-122-1-1002200-1-1-1-1-1-1-1-100000020-1-1000000
χ1422222-1222-12-12-122-12-1-1-122-1-1-12-122-1-1-1-1-20-1-1221100-2-200-1-1-1-11111000000-2011000000
χ1522222-1222-12-12-122-12-1-1-122-1-1-12-1-2-2-1-1-1-12011-2-2-1-10022001111-1-1-1-1000000-2011000000
χ1622222-1222-12-12-122-12-1-1-122-1-1-12-1-2-2-1-1-1-1-2011-2-21100-2-2001111111100000020-1-1000000
χ172222-122-1-1222222-1-1-12-1-1-1-122-1-1200-1-1-1-12200002222-1-1-1-10000-1-1-1-1-1-1-1-122000000-1-100
χ182222-122-1-1222222-1-1-12-1-1-1-122-1-1200-1-1-1-12-2000022-2-2-1-1110000-1-1-1-11111-2-20000001100
χ192222-122-1-1222222-1-1-12-1-1-1-122-1-1200-1-1-1-1-220000-2-22211-1-100001111-1-1-1-1-2-20000001100
χ202222-122-1-1222222-1-1-12-1-1-1-122-1-1200-1-1-1-1-2-20000-2-2-2-2111100001111111122000000-1-100
χ2122-2-22222-2-2-222-2-2-22222-22-2-2-2-2-222-222-2-2002-22-20000000022-2-200000000000000000000
χ2222-2-22222-2-2-222-2-2-22222-22-2-2-2-2-22-2222-2-200-22-2200000000-2-22200000000000000000000
χ2322-2-222-12-2-212-1-21-22-1-12-2-1111-21-12-2-1-111002-2-11003−30000-1-111000033−3−30000003−30000
χ2422-2-222-12-2-212-1-21-22-1-12-2-1111-21-12-2-1-111002-2-1100−330000-1-1110000−3−333000000−330000
χ2522-2-222-12-2-212-1-21-22-1-12-2-1111-21-1-22-1-11100-221-1003−3000011-1-1000033−3−3000000−330000
χ2622-2-222-12-2-212-1-21-22-1-12-2-1111-21-1-22-1-11100-221-100−33000011-1-10000−3−3330000003−30000
χ2722-2-22-122-21-2-121-2-2-12-1-112-2111-2-12-2-1-11100-112-23−3000000-1-11133−3−3000000003−3000000
χ2822-2-22-122-21-2-121-2-2-12-1-112-2111-2-12-2-1-11100-112-2−33000000-1-111−3−33300000000−33000000
χ2922-2-22-122-21-2-121-2-2-12-1-112-2111-2-1-22-1-111001-1-223−300000011-1-133−3−300000000−33000000
χ3022-2-22-122-21-2-121-2-2-12-1-112-2111-2-1-22-1-111001-1-22−3300000011-1-1−3−333000000003−3000000
χ312-22-2222-2222-2-2-2-2-2222-22-222-2-2-2-2002-22-20000000000000000000000000000000000002-2
χ322-22-2222-2222-2-2-2-2-2222-22-222-2-2-2-2002-22-2000000000000000000000000000000000000-22
χ332-2-22222-2-2-2-2-2-2222222-2-2-2-2-2222-2002-2-22000000000000000000000000002-20000002-200
χ342-2-22222-2-2-2-2-2-2222222-2-2-2-2-2222-2002-2-2200000000000000000000000000-22000000-2200
χ352-2-22-12211-2-2-2-222-1-1-121111-22-1-1-200-111-10000000000−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-2000000-1100
χ362-2-22-12211-2-2-2-222-1-1-121111-22-1-1-200-111-10000000000−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-220000001-100
χ372-2-22-12211-2-2-2-222-1-1-121111-22-1-1-200-111-10000000000i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-220000001-100
χ382-2-22-12211-2-2-2-222-1-1-121111-22-1-1-200-111-10000000000i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-2000000-1100
χ3944444-2-244-2-2-2-2-2-24-2-21-2-2-2-211-2-2144111100-2-2-2-200000000111100000000000000000000
χ4044444-2-244-2-2-2-2-2-24-2-21-2-2-2-211-2-21-4-4111100222200000000-1-1-1-100000000000000000000
χ414444-24-2-2-24-24-24-2-2-21-2-2-211-2-2-21-200111104000000-2-200-2-2000000001111000000000000
χ424444-24-2-2-24-24-24-2-2-21-2-2-211-2-2-21-20011110-400000022002200000000-1-1-1-1000000000000
χ434444-2-24-2-2-24-24-24-21-2-211-2-2-2-21-2-2001111400000-2-200-2-200000011110000000000000000
χ444444-2-24-2-2-24-24-24-21-2-211-2-2-2-21-2-2001111-400000220022000000-1-1-1-10000000000000000
χ4544-4-44-2-24-422-2-222-4-2-21-22-22-1-12214-411-1-100-22-220000000011-1-100000000000000000000
χ4644-4-44-2-24-422-2-222-4-2-21-22-22-1-1221-4411-1-1002-22-200000000-1-11100000000000000000000
χ4744-4-4-244-22-4-444-4-42-2-24-22-22-4-422400-2-22200000000000000000000000000000000000000
χ4844-4-4-24-2-22-424-2-422-21-2-221-1222-1-20011-1-10000000023−23000000000000−3−333000000000000
χ4944-4-4-24-2-22-424-2-422-21-2-221-1222-1-20011-1-100000000−232300000000000033−3−3000000000000
χ5044-4-4-2-24-222-4-242-421-2-21-1-2222-12-20011-1-100000023−230000000000−3−3330000000000000000
χ5144-4-4-2-24-222-4-242-421-2-21-1-2222-12-20011-1-1000000−2323000000000033−3−30000000000000000
χ524-44-444-2-444-2-42-42-44-2-2-442-2-22-42200-22-2200000000000000000000000000000000000000
χ534-44-44-24-44-242-42-4-4-24-22-2-44-222-4200-22-2200000000000000000000000000000000000000
χ544-44-44-2-2-44-2-22222-4-2-212-22-21-122-1001-11-1000000000000003i−3i3i−3i00000000000000000000
χ554-44-44-2-2-44-2-22222-4-2-212-22-21-122-1001-11-100000000000000−3i3i−3i3i00000000000000000000
χ564-44-4-2442-244-4-4-4-42-2-242-22-24-422-400-22-2200000000000000000000000000000000000000
χ574-44-4-24-22-24-2-42-422-21-22-2-11-222-12001-11-100000000000000000000003i−3i−3i3i000000000000
χ584-44-4-24-22-24-2-42-422-21-22-2-11-222-12001-11-10000000000000000000000−3i3i3i−3i000000000000
χ594-44-4-2-242-2-242-42-421-2-2-112-2-22-122001-11-10000000000000000003i−3i−3i3i0000000000000000
χ604-44-4-2-242-2-242-42-421-2-2-112-2-22-122001-11-1000000000000000000−3i3i3i−3i0000000000000000
χ614-4-4444-2-4-4-42-424-244-2-2-4-4222-24-2200-222-200000000000000000000000000000000000000
χ624-4-444-24-4-42-42-4-244-24-222-4-42-2-24200-222-200000000000000000000000000000000000000
χ634-4-444-2-2-4-42222-2-24-2-212222-11-2-2-1001-1-11000000000000003i−3i−3i3i00000000000000000000
χ644-4-444-2-2-4-42222-2-24-2-212222-11-2-2-1001-1-1100000000000000−3i3i3i−3i00000000000000000000
χ654-4-44-24-222-42-424-2-2-21-222-1-12-2-212001-1-11000000000000−2i32i300000000i3−i3i3−i3000000000000
χ664-4-44-24-222-42-424-2-2-21-222-1-12-2-212001-1-110000000000002i3−2i300000000−i3i3−i3i3000000000000
χ674-4-44-2-24222-42-4-24-21-2-2-1-1222-21-22001-1-110000000000−2i32i3000000i3−i3i3−i30000000000000000
χ684-4-44-2-24222-42-4-24-21-2-2-1-1222-21-22001-1-1100000000002i3−2i3000000−i3i3−i3i30000000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-4444-4-44442222-22-2-2-2-2-2200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-44-4-4-444444222-22-222-2-2-2-200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-4444444-4-4-4222-2-2-2-2-2222-200-111-100000000000000000000000000000000000000

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