Finite Group Databasebeta

← Group #11723001

Character table — Group #11723001

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222224444444444446688881212121212121212121212121212121212121212121212121212181836363636363636365454
order12223336666666663336666666664436662466666666121212121212121212121212121212124424661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11111111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1
χ31111111111111111111111111111111111-11-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111
χ51111111111111111111111111111-1-111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1
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
χ71111111111111111111111111111-1-11111-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-1-111
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
χ9222222-1222-1-12-1222-1-122-1-1-1-1-12-122-1-1-1-12022-1-1-1-1-1-1-1-1002200-1-1-1-100000020-1-1000000
χ10222222-1222-1-12-1222-1-122-1-1-1-1-12-122-1-1-1-1-20-2-2111111-1-1002200-1-1-1-1000000-2011000000
χ11222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-2-1-1-1-12022-1-1-1-1-1-11100-2-2001111000000-2011000000
χ12222222-1222-1-12-1222-1-122-1-1-1-1-12-1-2-2-1-1-1-1-20-2-21111111100-2-200111100000020-1-1000000
χ1322222-1222-122-12-12-12-1-1-122-1-1-1-1200-1-1-1-122-1-122-1-1-1-100-1-100220000-1-1-1-1220000-1-10000
χ1422222-1222-122-12-12-12-1-1-122-1-1-1-1200-1-1-1-12-2-1-122-1-1-1-1001100-2-200001111-2-20000110000
χ1522222-1222-122-12-12-12-1-1-122-1-1-1-1200-1-1-1-1-2211-2-2111100-1-100220000-1-1-1-1-2-20000110000
χ1622222-1222-122-12-12-12-1-1-122-1-1-1-1200-1-1-1-1-2-211-2-21111001100-2-200001111220000-1-10000
χ172222-122-1-1222222-1-1-12-1-1-1-1222-1-122-1-1-1-102000000002222-1-1-1-1-1-1-1-1-1-1-1-100020000-1-100
χ182222-122-1-1222222-1-1-12-1-1-1-1222-1-122-1-1-1-10-20000000022-2-2-1-111-1-1-1-11111000-200001100
χ192222-122-1-1222222-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-10200000000-2-22211-1-11111-1-1-1-1000-200001100
χ202222-122-1-1222222-1-1-12-1-1-1-1222-1-1-2-2-1-1-1-10-200000000-2-2-2-211111111111100020000-1-100
χ2122-2-22222-2-22-2-2-22-22222-22-22-2-2-2-20022-2-20000000000000000000000000000000000002i−2i
χ2222-2-22222-2-22-2-2-22-22222-22-22-2-2-2-20022-2-2000000000000000000000000000000000000−2i2i
χ232-22-2222-2-2-2-2-222-22222-2-2-2-2-22-2222-22-22-200000000002-2002-20022-2-20000000000000000
χ242-22-2222-2-2-2-2-222-22222-2-2-2-2-22-222-222-22-20000000000-2200-2200-2-2220000000000000000
χ252-22-222-1-2-2-2112-1-222-1-1-2-2111-112-12-2-11-110000−i3i3−i3−i3i3i3-11002-200-1-11100000000−i3i3000000
χ262-22-222-1-2-2-2112-1-222-1-1-2-2111-112-12-2-11-110000i3−i3i3i3−i3−i3-11002-200-1-11100000000i3−i3000000
χ272-22-222-1-2-2-2112-1-222-1-1-2-2111-112-1-22-11-110000−i3i3−i3−i3i3i31-100-220011-1-100000000i3−i3000000
χ282-22-222-1-2-2-2112-1-222-1-1-2-2111-112-1-22-11-110000i3−i3i3i3−i3−i31-100-220011-1-100000000−i3i3000000
χ292-22-2-12211-2-2-222-2-1-1-121111-22-2-1-12-2-11-1100000000002-200-11−i3i3-1-111−i3−i3i3i300000000−i3i300
χ302-22-2-12211-2-2-222-2-1-1-121111-22-2-1-12-2-11-1100000000002-200-11i3−i3-1-111i3i3−i3−i300000000i3−i300
χ312-22-2-12211-2-2-222-2-1-1-121111-22-2-1-1-22-11-110000000000-22001-1−i3i311-1-1−i3−i3i3i300000000i3−i300
χ322-22-2-12211-2-2-222-2-1-1-121111-22-2-1-1-22-11-110000000000-22001-1i3−i311-1-1i3i3−i3−i300000000−i3i300
χ332-2-22222-222-22-2-2-2-2222-22-22-2-22-2-2002-2-22000000000000000000000000002i−2i00002i−2i0000
χ342-2-22222-222-22-2-2-2-2222-22-22-2-22-2-2002-2-2200000000000000000000000000−2i2i0000−2i2i0000
χ352-2-222-12-22-1-221-21-2-12-11-1-2211-11-200-111-100−i3i300−i3i3−i3i3003−3000000003−33−32i−2i0000−ii0000
χ362-2-222-12-22-1-221-21-2-12-11-1-2211-11-200-111-100−i3i300−i3i3−i3i300−3300000000−33−33−2i2i0000i−i0000
χ372-2-222-12-22-1-221-21-2-12-11-1-2211-11-200-111-100i3−i300i3−i3i3−i3003−3000000003−33−3−2i2i0000i−i0000
χ382-2-222-12-22-1-221-21-2-12-11-1-2211-11-200-111-100i3−i300i3−i3i3−i300−3300000000−33−332i−2i0000−ii0000
χ3944444-2-244-2-2-2-2-2-24-2-21-2-2-2-2111-2-200111140-2-2-2-211110000000000000000000000000000
χ4044444-2-244-2-2-2-2-2-24-2-21-2-2-2-2111-2-2001111-402222-1-1-1-10000000000000000000000000000
χ414444-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2-214411110000000000-2-200-2-20011110000000000000000
χ424444-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2-21-4-41111000000000022002200-1-1-1-10000000000000000
χ434444-2-24-2-2-244-24-2-21-2-211-2-2-2-2-21-2001111040000000000-2-200-2-200001111000000000000
χ444444-2-24-2-2-244-24-2-21-2-211-2-2-2-2-21-20011110-400000000002200220000-1-1-1-1000000000000
χ4544-4-444-24-4-4-22-424-44-2-24-4-22-222-4200-2-22200000000000000000000000000000000000000
χ4644-4-44-244-424-42-4-2-4-24-2-224-4-2222-400-2-22200000000000000000000000000000000000000
χ4744-4-44-2-24-42-2222-2-4-2-21-22-221-1-1220011-1-10000003-3-330000000000000000000000000000
χ4844-4-44-2-24-42-2222-2-4-2-21-22-221-1-1220011-1-1000000-333-30000000000000000000000000000
χ4944-4-4-244-22-44-4-4-442-2-24-22-224-4-42200-2-22200000000000000000000000000000000000000
χ5044-4-4-24-2-22-4-22-4242-21-2-221-1-2222-10011-1-10000000000000000003i−3i3i−3i0000000000000000
χ5144-4-4-24-2-22-4-22-4242-21-2-221-1-2222-10011-1-1000000000000000000−3i3i−3i3i0000000000000000
χ5244-4-4-2-24-2224-42-4-221-2-21-1-22-222-120011-1-100000000000000000000003i−3i−3i3i000000000000
χ5344-4-4-2-24-2224-42-4-221-2-21-1-22-222-120011-1-10000000000000000000000−3i3i3i−3i000000000000
χ544-44-44-24-4-42-4-4-2424-24-222-4-42-22-2400-22-2200000000000000000000000000000000000000
χ554-44-44-2-2-4-4222-2-224-2-212222-11-1-2-2001-11-10000−2i32i3i3i3−i3−i30000000000000000000000000000
χ564-44-44-2-2-4-4222-2-224-2-212222-11-1-2-2001-11-100002i3−2i3−i3−i3i3i30000000000000000000000000000
χ574-44-4-24-222-4224-2-4-2-21-222-1-12-22-214-41-11-10000000000-2200-220011-1-10000000000000000
χ584-44-4-24-222-4224-2-4-2-21-222-1-12-22-21-441-11-100000000002-2002-200-1-1110000000000000000
χ594-44-4-2-24222-4-4-242-21-2-2-1-1222-221-2001-11-10000000000000000−2i32i30000i3i3−i3−i3000000000000
χ604-44-4-2-24222-4-4-242-21-2-2-1-1222-221-2001-11-100000000000000002i3−2i30000−i3−i3i3i3000000000000
χ614-4-4444-2-4442-2-42-4-44-2-2-442-222-2-4200-222-200000000000000000000000000000000000000
χ624-4-444-2-2-44-22-2222-4-2-212-22-2-1-1122001-1-1100−2i32i300i3−i3i3−i30000000000000000000000000000
χ634-4-444-2-2-44-22-2222-4-2-212-22-2-1-1122001-1-11002i3−2i300−i3i3−i3i30000000000000000000000000000
χ644-4-44-2442-24-44-4-4-42-2-242-22-2-4-442200-222-200000000000000000000000000000000000000
χ654-4-44-24-22-242-2-42-42-21-22-2-1122-22-1001-1-110000000000000000003i−3i−3i3i0000000000000000
χ664-4-44-24-22-242-2-42-42-21-22-2-1122-22-1001-1-11000000000000000000−3i3i3i−3i0000000000000000
χ674-4-44-2-242-2-2-442-4221-2-2-112-222-2-12001-1-1100000000000023−2300000000−33−33000000000000
χ684-4-44-2-242-2-2-442-4221-2-2-112-222-2-12001-1-11000000000000−2323000000003−33−3000000000000
χ698888-4-4-4-4-4-4-4-4-4-4-4-422222222222200-1-1-1-100000000000000000000000000000000000000
χ7088-8-8-4-4-4-444-4444-442222-22-22-2-2-2-200-1-11100000000000000000000000000000000000000
χ718-88-8-4-4-444444-4-44-4222-2-2-2-2-22-22200-11-1100000000000000000000000000000000000000
χ728-8-88-4-4-44-4-44-44444222-22-22-2-22-2-200-111-100000000000000000000000000000000000000

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