Finite Group Databasebeta

← Group #72267092

Character table — Group #72267092

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11233333346666612121212121224242424242424243232484848486464641123333334666661212121212122424242424242424323248484848646464
order124222222222444222224888888883624446612224222222222444222224888888886624446612
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111
χ3111111111-111111-1-1-1-1-111111111111-1-1-1-1-1-11111111111-111111-1-1-1-1-111111111111-1-1-1-1-1-11
χ4111111111-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11111111111-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11
χ522222222222222222222200000000-1-10000-1-1-122222222222222222222200000000-1-10000-1-1-1
χ6222222222-222222-2-2-2-2-2200000000-1-1000011-1222222222-222222-2-2-2-2-2200000000-1-1000011-1
χ722-2222222022-2-2-200000-20000000022000000-222-2222222022-2-2-200000-20000000022000000-2
χ822-2222222022-2-2-200000-200000000-1-10000−i3i3122-2222222022-2-2-200000-200000000-1-10000−i3i31
χ922-2222222022-2-2-200000-200000000-1-10000i3−i3122-2222222022-2-2-200000-200000000-1-10000i3−i31
χ102-20-2-2-222202-20000000002−2222−2−2−22-200000002-20-2-2-222202-20000000002−2222−2−2−22-20000000
χ112-20-2-2-222202-2000000000−22−2−2−22222-200000002-20-2-2-222202-2000000000−22−2−2−22222-20000000
χ123333-1-13-1-13-1-13-1-13-1-1-1-1-1111-1-11-1-10011-1-10003333-1-13-1-13-1-13-1-13-1-1-1-1-1111-1-11-1-10011-1-1000
χ133333-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-11100-1-1110003333-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-11100-1-111000
χ143333-1-13-1-1-3-1-13-1-1-31111-1111-1-11-1-100-1-1110003333-1-13-1-1-3-1-13-1-1-31111-1111-1-11-1-100-1-111000
χ153333-1-13-1-1-3-1-13-1-1-31111-1-1-1-111-1110011-1-10003333-1-13-1-1-3-1-13-1-1-31111-1-1-1-111-1110011-1-1000
χ16333-13-1-13-13-1-1-13-1-13-1-1-1-111-11-1-11-1001-11-1000333-13-1-13-13-1-1-13-1-13-1-1-1-111-11-1-11-1001-11-1000
χ17333-13-1-13-13-1-1-13-1-13-1-1-1-1-1-11-111-1100-11-11000333-13-1-13-13-1-1-13-1-13-1-1-1-1-1-11-111-1100-11-11000
χ18333-13-1-13-1-3-1-1-13-11-3111-111-11-1-11-100-11-11000333-13-1-13-1-3-1-1-13-11-3111-111-11-1-11-100-11-11000
χ19333-13-1-13-1-3-1-1-13-11-3111-1-1-11-111-11001-11-1000333-13-1-13-1-3-1-1-13-11-3111-1-1-11-111-11001-11-1000
χ20333-1-13-1-133-1-1-1-13-1-13-1-1-111-1-11-1-11001-1-11000333-1-13-1-133-1-1-1-13-1-13-1-1-111-1-11-1-11001-1-11000
χ21333-1-13-1-133-1-1-1-13-1-13-1-1-1-1-111-111-100-111-1000333-1-13-1-133-1-1-1-13-1-13-1-1-1-1-111-111-100-111-1000
χ22333-1-13-1-13-3-1-1-1-1311-311-111-1-11-1-1100-111-1000333-1-13-1-13-3-1-1-1-1311-311-111-1-11-1-1100-111-1000
χ23333-1-13-1-13-3-1-1-1-1311-311-1-1-111-111-1001-1-11000333-1-13-1-13-3-1-1-1-1311-311-1-1-111-111-1001-1-11000
χ244-40-4-4-444404-400000000000000000-2200000004-40-4-4-444404-400000000000000000-220000000
χ25666-2-2-2-2-2-2622-2-2-2-2-2-222200000000000000000666-2-2-2-2-2-2622-2-2-2-2-2-222200000000000000000
χ26666-2-2-2-2-2-2-622-2-2-2222-2-2200000000000000000666-2-2-2-2-2-2-622-2-2-2222-2-2200000000000000000
χ2766-66-2-26-2-20-2-2-6220000020000000000000000066-66-2-26-2-20-2-2-62200000200000000000000000
χ2866-6-26-2-26-20-2-22-620000020000000000000000066-6-26-2-26-20-2-22-6200000200000000000000000
χ2966-6-2-26-2-260-2-222-60000020000000000000000066-6-2-26-2-260-2-222-600000200000000000000000
χ3066-6-2-2-2-2-2-20222220004-4-20000000000000000066-6-2-2-2-2-2-20222220004-4-200000000000000000
χ3166-6-2-2-2-2-2-2022222000-44-20000000000000000066-6-2-2-2-2-2-2022222000-44-200000000000000000
χ326-6022-6-2-260-220000000002−2−2−2222−20000000006-6022-6-2-260-220000000002−2−2−2222−2000000000
χ336-6022-6-2-260-22000000000−2222−2−2−220000000006-6022-6-2-260-22000000000−2222−2−2−22000000000
χ346-602-62-26-20-220000000002−2−22−22−220000000006-602-62-26-20-220000000002−2−22−22−22000000000
χ356-602-62-26-20-22000000000−222−22−22−20000000006-602-62-26-20-22000000000−222−22−22−2000000000
χ366-60-6226-2-20-220000000002−22−2−2−2220000000006-60-6226-2-20-220000000002−22−2−2−222000000000
χ376-60-6226-2-20-22000000000−22−2222−2−20000000006-60-6226-2-20-22000000000−22−2222−2−2000000000
χ3812-120444-4-4-404-40000000000000000000000000012-120444-4-4-404-400000000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ40111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1
χ41111111111-111111-1-1-1-1-111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1
χ42111111111-111111-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-111111111-1-1-1-1-1-111-1
χ4322222222222222222222200000000-1-10000-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000110000111
χ44222222222-222222-2-2-2-2-2200000000-1-1000011-1-2-2-2-2-2-2-2-2-22-2-2-2-2-222222-200000000110000-1-11
χ4522-2222222022-2-2-200000-20000000022000000-2-2-22-2-2-2-2-2-20-2-222200000200000000-2-20000002
χ4622-2222222022-2-2-200000-200000000-1-10000−i3i31-2-22-2-2-2-2-2-20-2-222200000200000000110000i3−i3-1
χ4722-2222222022-2-2-200000-200000000-1-10000i3−i31-2-22-2-2-2-2-2-20-2-222200000200000000110000−i3i3-1
χ482-20-2-2-222202-20000000002−2222−2−2−22-20000000-220222-2-2-20-22000000000−22−2−2−2222-220000000
χ492-20-2-2-222202-2000000000−22−2−2−22222-20000000-220222-2-2-20-220000000002−2222−2−2−2-220000000
χ503333-1-13-1-13-1-13-1-13-1-1-1-1-1111-1-11-1-10011-1-1000-3-3-3-311-311-311-311-311111-1-1-111-11100-1-111000
χ513333-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-111-11100-1-111000-3-3-3-311-311-311-311-311111111-1-11-1-10011-1-1000
χ523333-1-13-1-1-3-1-13-1-1-31111-1111-1-11-1-100-1-111000-3-3-3-311-311311-3113-1-1-1-11-1-1-111-1110011-1-1000
χ533333-1-13-1-1-3-1-13-1-1-31111-1-1-1-111-1110011-1-1000-3-3-3-311-311311-3113-1-1-1-11111-1-11-1-100-1-111000
χ54333-13-1-13-13-1-1-13-1-13-1-1-1-111-11-1-11-1001-11-1000-3-3-31-311-31-3111-311-31111-1-11-111-1100-11-11000
χ55333-13-1-13-13-1-1-13-1-13-1-1-1-1-1-11-111-1100-11-11000-3-3-31-311-31-3111-311-3111111-11-1-11-1001-11-1000
χ56333-13-1-13-1-3-1-1-13-11-3111-111-11-1-11-100-11-11000-3-3-31-311-313111-31-13-1-1-11-1-11-111-11001-11-1000
χ57333-13-1-13-1-3-1-1-13-11-3111-1-1-11-111-11001-11-1000-3-3-31-311-313111-31-13-1-1-1111-11-1-11-100-11-11000
χ58333-1-13-1-133-1-1-1-13-1-13-1-1-111-1-11-1-11001-1-11000-3-3-311-311-3-31111-311-3111-1-111-111-100-111-1000
χ59333-1-13-1-133-1-1-1-13-1-13-1-1-1-1-111-111-100-111-1000-3-3-311-311-3-31111-311-311111-1-11-1-11001-1-11000
χ60333-1-13-1-13-3-1-1-1-1311-311-111-1-11-1-1100-111-1000-3-3-311-311-331111-3-1-13-1-11-1-111-111-1001-1-11000
χ61333-1-13-1-13-3-1-1-1-1311-311-1-1-111-111-1001-1-11000-3-3-311-311-331111-3-1-13-1-1111-1-11-1-1100-111-1000
χ624-40-4-4-444404-400000000000000000-220000000-440444-4-4-40-44000000000000000002-20000000
χ63666-2-2-2-2-2-2622-2-2-2-2-2-222200000000000000000-6-6-6222222-6-2-2222222-2-2-200000000000000000
χ64666-2-2-2-2-2-2-622-2-2-2222-2-2200000000000000000-6-6-62222226-2-2222-2-2-222-200000000000000000
χ6566-66-2-26-2-20-2-2-62200000200000000000000000-6-66-622-6220226-2-200000-200000000000000000
χ6666-6-26-2-26-20-2-22-6200000200000000000000000-6-662-622-62022-26-200000-200000000000000000
χ6766-6-2-26-2-260-2-222-600000200000000000000000-6-6622-622-6022-2-2600000-200000000000000000
χ6866-6-2-2-2-2-2-20222220004-4-200000000000000000-6-662222220-2-2-2-2-2000-44200000000000000000
χ6966-6-2-2-2-2-2-2022222000-44-200000000000000000-6-662222220-2-2-2-2-20004-4200000000000000000
χ706-6022-6-2-260-220000000002−2−2−2222−2000000000-660-2-2622-602-2000000000−2222−2−2−22000000000
χ716-6022-6-2-260-22000000000−2222−2−2−22000000000-660-2-2622-602-20000000002−2−2−2222−2000000000
χ726-602-62-26-20-220000000002−2−22−22−22000000000-660-26-22-6202-2000000000−222−22−22−2000000000
χ736-602-62-26-20-22000000000−222−22−22−2000000000-660-26-22-6202-20000000002−2−22−22−22000000000
χ746-60-6226-2-20-220000000002−22−2−2−222000000000-6606-2-2-62202-2000000000−22−2222−2−2000000000
χ756-60-6226-2-20-22000000000−22−2222−2−2000000000-6606-2-2-62202-20000000002−22−2−2−222000000000
χ7612-120444-4-4-404-400000000000000000000000000-12120-4-4-44440-4400000000000000000000000000

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