Finite Group Databasebeta

← Group #11723030

Character table — Group #11723030

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444446666666666668888121212121212121212121212121212121212121212181818181818363636363636108
order122233366666666633366666666644441212121212121212366626666666612121212121212121212121244121212122266662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1-1
χ4111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111-1-111-1-1-1-111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1
χ61111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ9222222-122-1-1222-122-1-122-1-1-1-1-12-1002200002222-1-1-1-1222-1-1-1-1-1-100-1-10000-1-1-1-10000000200-1-10
χ10222222-122-1-1222-122-1-122-1-1-1-1-12-1002200002222-1-1-1-1-2-2-211111100-1-10000-1-1-1-10000000-200110
χ11222222-122-1-1222-122-1-122-1-1-1-1-12-100-2-20000-2-2-2-2-1-1-1-1222-1-1-1-1-1-10011000011110000000-200110
χ12222222-122-1-1222-122-1-122-1-1-1-1-12-100-2-20000-2-2-2-2-1-1-1-1-2-2-21111110011000011110000000200-1-10
χ1322222-12-1-12222-122-12-1-1-122-1-1-1-12220022220000-1-1-1-12-1-122-1-1-1-1-1-100-1-1-1-1000000000020-1-1000
χ1422222-12-1-12222-122-12-1-1-122-1-1-1-12220022220000-1-1-1-1-211-2-21111-1-100-1-1-1-10000000000-2011000
χ1522222-12-1-12222-122-12-1-1-122-1-1-1-12-2-200-2-2-2-20000-1-1-1-12-1-122-1-1-1-1110011110000000000-2011000
χ1622222-12-1-12222-122-12-1-1-122-1-1-1-12-2-200-2-2-2-20000-1-1-1-1-211-2-2111111001111000000000020-1-1000
χ172222-1222222-1-122-1-1-12-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002222-1-1-1-1-1-1-1-122-1-1-1-10000000
χ182222-1222222-1-122-1-1-12-1-1-1-1222-1-122-2-2-1-1-1-11111-1-1-1-100000000022-2-2-1-1-1-11111-2-211110000000
χ192222-1222222-1-122-1-1-12-1-1-1-1222-1-1-2-2221111-1-1-1-1-1-1-1-1000000000-2-2221111-1-1-1-1-2-211110000000
χ202222-1222222-1-122-1-1-12-1-1-1-1222-1-1-2-2-2-211111111-1-1-1-1000000000-2-2-2-21111111122-1-1-1-10000000
χ2122-2-22222-2-2-22-2-22-22222-2-2-22-2-2-22002-2000022-2-222-2-2000000000002-2000022-2-20000000000000
χ2222-2-22222-2-2-22-2-22-22222-2-2-22-2-2-2200-220000-2-22222-2-200000000000-220000-2-2220000000000000
χ2322-2-222-12-2112-2-2-1-22-1-12-211-111-2-1002-2000022-2-2-1-111000−i3i3−i3−i3i3i300-110000-1-1110000000000−i3i30
χ2422-2-222-12-2112-2-2-1-22-1-12-211-111-2-1002-2000022-2-2-1-111000i3−i3i3i3−i3−i300-110000-1-1110000000000i3−i30
χ2522-2-222-12-2112-2-2-1-22-1-12-211-111-2-100-220000-2-222-1-111000−i3i3−i3−i3i3i3001-1000011-1-10000000000i3−i30
χ2622-2-222-12-2112-2-2-1-22-1-12-211-111-2-100-220000-2-222-1-111000i3−i3i3i3−i3−i3001-1000011-1-10000000000−i3i30
χ2722-2-2-1222-2-2-2-11-221-1-12-11112-2-21-1002-233−3−3-1-111-1-111000000000002-233−3−3-1-1110033−3−30000000
χ2822-2-2-1222-2-2-2-11-221-1-12-11112-2-21-1002-2−3−333-1-111-1-111000000000002-2−3−333-1-11100−3−3330000000
χ2922-2-2-1222-2-2-2-11-221-1-12-11112-2-21-100-2233−3−311-1-1-1-11100000000000-2233−3−311-1-100−3−3330000000
χ3022-2-2-1222-2-2-2-11-221-1-12-11112-2-21-100-22−3−33311-1-1-1-11100000000000-22−3−33311-1-10033−3−30000000
χ312-22-2222-2-22-2-222-2-2222-2-22-2-22-22-22-2002-22-200002-22-20000000002-2002-22-200000000000000000
χ322-22-2222-2-22-2-222-2-2222-2-22-2-22-22-2-2200-22-2200002-22-2000000000-2200-22-2200000000000000000
χ332-22-22-12112-2-22-1-2-2-12-1112-21-11-1-22-2002-22-20000-11-110−i3i300−i3i3−i3i3-1100-11-11000000000000−i3i3000
χ342-22-22-12112-2-22-1-2-2-12-1112-21-11-1-22-2002-22-20000-11-110i3−i300i3−i3i3−i3-1100-11-11000000000000i3−i3000
χ352-22-22-12112-2-22-1-2-2-12-1112-21-11-1-2-2200-22-220000-11-110−i3i300−i3i3−i3i31-1001-11-1000000000000i3−i3000
χ362-22-22-12112-2-22-1-2-2-12-1112-21-11-1-2-2200-22-220000-11-110i3−i300i3−i3i3−i31-1001-11-1000000000000−i3i3000
χ372-22-2-122-2-22-21-12-21-1-1211-11-22-2-112-200-11-113−33−3-11-110000000002-200-11-113−33−3003−33−30000000
χ382-22-2-122-2-22-21-12-21-1-1211-11-22-2-112-200-11-11−33−33-11-110000000002-200-11-11−33−3300−33−330000000
χ392-22-2-122-2-22-21-12-21-1-1211-11-22-2-11-22001-11-13−33−3-11-11000000000-22001-11-13−33−300−33−330000000
χ402-22-2-122-2-22-21-12-21-1-1211-11-22-2-11-22001-11-1−33−33-11-11000000000-22001-11-1−33−33003−33−30000000
χ412-2-22222-22-22-2-2-2-22222-22-22-2-22-2-20000000000002-2-220000000000000000000002-22-2-220000000
χ422-2-22222-22-22-2-2-2-22222-22-22-2-22-2-20000000000002-2-22000000000000000000000-22-222-20000000
χ432-2-22-122-22-2211-2-2-1-1-121-11-1-2-221100003−3−333−3−33-111-100000000000003−3−333−3−33-221-1-110000000
χ442-2-22-122-22-2211-2-2-1-1-121-11-1-2-221100003−3−33−333−3-111-100000000000003−3−33−333−32-2-111-10000000
χ452-2-22-122-22-2211-2-2-1-1-121-11-1-2-22110000−333−33−3−33-111-10000000000000−333−33−3−332-2-111-10000000
χ462-2-22-122-22-2211-2-2-1-1-121-11-1-2-22110000−333−3−333−3-111-10000000000000−333−3−333−3-221-1-110000000
χ4744444-2-2-2-2-2-244-2-24-2-21-2-2-2-2111-2-200000000000011114-2-2-2-211110000000000000000000000000
χ4844444-2-2-2-2-2-244-2-24-2-21-2-2-2-2111-2-20000000000001111-42222-1-1-1-10000000000000000000000000
χ494444-24-244-2-2-2-24-2-2-21-2-2-211-2-2-2-2100440000-2-2-2-2111100000000000-2-2000011110000000000000
χ504444-24-244-2-2-2-24-2-2-21-2-2-211-2-2-2-2100-4-400002222111100000000000220000-1-1-1-10000000000000
χ514444-2-24-2-244-2-2-24-21-2-211-2-2-2-2-21-24400-2-2-2-200001111000000000-2-200111100000000000000000
χ524444-2-24-2-244-2-2-24-21-2-211-2-2-2-2-21-2-4-4002222000011110000000002200-1-1-1-100000000000000000
χ5344-4-44-24-22-4-44-424-4-24-2-22-4-4-22224000000000000-2-2220000000000000000000000000000000000
χ5444-4-44-2-2-22224-42-2-4-2-21-22221-1-12-200000000000011-1-1000−2i32i3i3i3−i3−i30000000000000000000000000
χ5544-4-44-2-2-22224-42-2-4-2-21-22221-1-12-200000000000011-1-10002i3−2i3−i3−i3i3i30000000000000000000000000
χ5644-4-4-24-24-422-22-4-22-21-2-22-1-1-22221004-40000-2-22211-1-100000000000-22000011-1-10000000000000
χ5744-4-4-24-24-422-22-4-22-21-2-22-1-1-2222100-44000022-2-211-1-1000000000002-20000-1-1110000000000000
χ5844-4-4-2-24-22-4-4-222421-2-21-122-222-1-200002323−23−23000011-1-10000000000000−3−33300000000000000000
χ5944-4-4-2-24-22-4-4-222421-2-21-122-222-1-20000−23−232323000011-1-1000000000000033−3−300000000000000000
χ604-44-444-2-4-4-22-4442-44-2-2-4-4-222-2242000000000000-22-220000000000000000000000000000000000
χ614-44-44-2-222-22-44-22-4-2-2122-22-11-1-220000000000001-11-10−2i32i300i3−i3i3−i30000000000000000000000000
χ624-44-44-2-222-22-44-22-4-2-2122-22-11-1-220000000000001-11-102i3−2i300−i3i3−i3i30000000000000000000000000
χ634-44-4-24-2-4-4-222-2422-21-2221-12-22-2-10000000023−2323−231-11-100000000000000000−33−330000000000000
χ644-44-4-24-2-4-4-222-2422-21-2221-12-22-2-100000000−2323−23231-11-1000000000000000003−33−30000000000000
χ654-44-4-2-24224-42-2-2-421-2-2-1-1-222-22124-400-22-2200001-11-1000000000-22001-11-100000000000000000
χ664-44-4-2-24224-42-2-2-421-2-2-1-1-222-2212-44002-22-200001-11-10000000002-200-11-1100000000000000000
χ674-4-4444-2-442-2-4-4-4244-2-2-442-222-2-42000000000000-222-20000000000000000000000000000000000
χ684-4-444-242-2-44-4-42-44-24-22-2-4422-22-4000000000000-222-20000000000000000000000000000000000
χ694-4-444-2-22-22-2-4-4224-2-212-22-2-1-11220000000000001-1-11000003-3-330000000000000000000000000
χ704-4-444-2-22-22-2-4-4224-2-212-22-2-1-11220000000000001-1-1100000-333-30000000000000000000000000
χ714-4-44-24-2-442-222-42-2-21-22-2-1122-22-10000000023−23−23231-1-1100000000000000000−333−30000000000000
χ724-4-44-24-2-442-222-42-2-21-22-2-1122-22-100000000−232323−231-1-11000000000000000003−3−330000000000000
χ734-4-44-2-242-2-44222-4-21-2-2-112-222-2-12000023−23−232300001-1-110000000000000−333−300000000000000000
χ744-4-44-2-242-2-44222-4-21-2-2-112-222-2-120000−232323−2300001-1-1100000000000003−3−3300000000000000000
χ758888-4-4-4-4-4-4-4-4-4-4-4-4222222222222000000000000-1-1-1-10000000000000000000000000000000000
χ7688-8-8-4-4-4-4444-444-442222-2-2-22-2-2-22000000000000-1-1110000000000000000000000000000000000
χ778-88-8-4-4-444-444-4-444222-2-22-2-22-22-2000000000000-11-110000000000000000000000000000000000
χ788-8-88-4-4-44-44-44444-4222-22-22-2-22-2-2000000000000-111-10000000000000000000000000000000000

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