Finite Group Databasebeta

← Group #11780245

Character table — Group #11780245

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888888812121212121212121212121216161616161624242424242424242424242424242424242436363636144
order12223344446666663466612121212121212124412121212121212121212121244441212121212121212121212121212246688881212242424242424242488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111111111111111-1-11-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-11111-1
χ611111111111111111111111111111-1-11-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111111111-1
χ92222222-22-22222222-22222-2-2-2222-200-20000-222-2-2-2-22200222200000000000-2000000-2-20000000000000
χ102222222-22-22222222-22222-2-2-2222-200-20000-222-2-2-2-2-2-200-2-2-2-2000000000002000000220000000000000
χ11222222-22-222222222-2222-2222-2-2-2200-20000-2-2-2-2-222002200002222000000-20-2-20000000000000000000
χ12222222-22-222222222-2222-2222-2-2-2200-20000-2-2-2-2-22200-2-20000-2-2-2-200000020220000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-22-2222-2-22-2-222-2-20000000000002-222-2-200000000000000000000000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-222-2-2222-2-222-2-2000000000000-22-2-22200000000000000000000000
χ1522222-12222222-1-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-10000-1-10000000000000
χ1622222-12222222-1-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2110000110000000000000
χ1722222-12222222-1-1-1-12-1-1-122-1-1-1-122-2-221111-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-21111-22110000-1-10000000000000
χ1822222-12222222-1-1-1-12-1-1-122-1-1-1-122-2-221111-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211112-2-1-10000110000000000000
χ1922222-12-22-2222-1-1-1-1-2-1-1-12-211-1-12-200-2−i3i3−i3i31-1-111112200-1-1-1-1−i3−i3i3i300−i3i3−i3i30-2−i3i30000110000000000000
χ2022222-12-22-2222-1-1-1-1-2-1-1-12-211-1-12-200-2−i3i3−i3i31-1-11111-2-2001111i3i3−i3−i300−i3i3−i3i302i3−i30000-1-10000000000000
χ2122222-12-22-2222-1-1-1-1-2-1-1-12-211-1-12-200-2i3−i3i3−i31-1-111112200-1-1-1-1i3i3−i3−i300i3−i3i3−i30-2i3−i30000110000000000000
χ2222222-12-22-2222-1-1-1-1-2-1-1-12-211-1-12-200-2i3−i3i3−i31-1-11111-2-2001111−i3−i3i3i300i3−i3i3−i302−i3i30000-1-10000000000000
χ2322222-1-22-22222-1-1-1-1-2-1-1-1-22-1-111-2200-2−i3i3i3−i311111-1-10022−i3−i3i3i3-1-1-1-100−i3i3i3−i3-20110000−i3i30000000000000
χ2422222-1-22-22222-1-1-1-1-2-1-1-1-22-1-111-2200-2−i3i3i3−i311111-1-100-2-2i3i3−i3−i3111100−i3i3i3−i320-1-10000i3−i30000000000000
χ2522222-1-22-22222-1-1-1-1-2-1-1-1-22-1-111-2200-2i3−i3−i3i311111-1-10022i3i3−i3−i3-1-1-1-100i3−i3−i3i3-20110000i3−i30000000000000
χ2622222-1-22-22222-1-1-1-1-2-1-1-1-22-1-111-2200-2i3−i3−i3i311111-1-100-2-2−i3−i3i3i3111100i3−i3−i3i320-1-10000−i3i30000000000000
χ2722222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-22-22-1-111-111-1-1110000−i3−i3i3i3−i3−i3i3i32-2-1-11100i3−i30000i3−i30000000000000
χ2822222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-22-22-1-111-111-1-1110000i3i3−i3−i3i3i3−i3−i32-2-1-11100−i3i30000−i3i30000000000000
χ2922222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-2-22211-1-1-111-1-1110000−i3−i3i3i3i3i3−i3−i3-2211-1-100−i3i30000i3−i30000000000000
χ3022222-1-2-2-2-2222-1-1-1-12-1-1-1-2-21111-2-2-22211-1-1-111-1-1110000i3i3−i3−i3−i3−i3i3i3-2211-1-100i3−i30000−i3i30000000000000
χ312222-122222-1-1-1222-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-100000
χ322222-122222-1-1-1222-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-10000-2-2-2-2001111111100000
χ332222-122222-1-1-1222-12-1-1-1-1-12222-1-1-2-2-1-2-2-2-22-1-1-1-1-1-1000000000000111111000022-2-200-1-1-1-1111100000
χ342222-122222-1-1-1222-12-1-1-1-1-12222-1-1-2-2-1-2-2-2-22-1-1-1-1-1-10000000000001111110000-2-222001111-1-1-1-100000
χ352222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-2112-2-122-2-2211-1-111000000000000-11-1-111000000000033−3−333−3−300000
χ362222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-2112-2-122-2-2211-1-111000000000000-11-1-1110000000000−3−333−3−33300000
χ372222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-211-22-1-2-222211-1-1110000000000001-111-1-1000000000033−3−3−3−33300000
χ382222-12-2-2-2-2-1-1-1222-12-1-1-111-2-2-2-211-22-1-2-222211-1-1110000000000001-111-1-10000000000−3−33333−3−300000
χ392-22-222-20202-2-2-2-22202-2-2-20002-220000000002-200002i−2i002i−2i2i−2i00000000000000−i2i20000−i2i2−i2i2000022−2−20
χ402-22-222-20202-2-2-2-22202-2-2-20002-220000000002-200002i−2i002i−2i2i−2i00000000000000i2−i20000i2−i2i2−i20000−2−2220
χ412-22-222-20202-2-2-2-22202-2-2-20002-220000000002-20000−2i2i00−2i2i−2i2i00000000000000−i2i20000−i2i2−i2i20000−2−2220
χ422-22-222-20202-2-2-2-22202-2-2-20002-220000000002-20000−2i2i00−2i2i−2i2i00000000000000i2−i20000i2−i2i2−i2000022−2−20
χ432-2-2222020-2-2-222-2-220-2-22022-2000-20000000000002-2002i−2i00002i−2i2i−2i000000000000−i2i2000000−i2i2−i2i22−22−20
χ442-2-2222020-2-2-222-2-220-2-22022-2000-20000000000002-2002i−2i00002i−2i2i−2i000000000000i2−i2000000i2−i2i2−i2−22−220
χ452-2-2222020-2-2-222-2-220-2-22022-2000-20000000000002-200−2i2i0000−2i2i−2i2i000000000000−i2i2000000−i2i2−i2i2−22−220
χ462-2-2222020-2-2-222-2-220-2-22022-2000-20000000000002-200−2i2i0000−2i2i−2i2i000000000000i2−i2000000i2−i2i2−i22−22−20
χ474444-244-44-4-2-2-2444-2-4-2-2-2-22-4-444-220020000-4-2-2222200000000000000000000000000000000000000000
χ484444-24-44-44-2-2-2444-2-4-2-2-22-244-4-42-20020000-42222-2-200000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-2-2-2-2-2111111000000000000-2-2111100000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-22222-211111100000000000022-1-1-1-100000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-21-4111-2222-2-2-22002−2i32i3−2i32i3211-1-1-1-100000000000000i3−i3i3−i300000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-4111-2222-2-2-220022i3−2i32i3−2i3211-1-1-1-100000000000000−i3i3−i3i300000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-21-41112-2-2-2222-2002−2i32i32i3−2i32-1-1-1-11100000000000000i3−i3−i3i300000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-21-41112-2-2-2222-20022i3−2i3−2i32i32-1-1-1-11100000000000000−i3i3i3−i300000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-222-2-1-111-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-222-2-2-2-1-111-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-4440000-44-4-44-440-44-400000000000000000000000000000000000000000000000000000000002-2-220
χ5844-4-4440000-44-4-44-440-44-40000000000000000000000000000000000000000000000000000000000-222-20
χ594-44-44440-404-4-4-4-44404-4-44000-44-4000000000-44000000000000000000000000000000000000000000000
χ604-44-44-240-404-4-422-2-20-22240002-2-40000000002-20000000023−23−2323000000000000000000000000000000000
χ614-44-44-240-404-4-422-2-20-22240002-2-40000000002-200000000−232323−23000000000000000000000000000000000
χ624-44-44-2-40404-4-422-2-20-222-4000-224000000000-2200004i−4i00−2i2i−2i2i000000000000000000000000000000000
χ634-44-44-2-40404-4-422-2-20-222-4000-224000000000-220000−4i4i002i−2i2i−2i000000000000000000000000000000000
χ644-44-4-2440-40-222-4-44-20-222-2000-4420000000002-200000000000000000000000000000000i6−i6−i6i6000000000
χ654-44-4-2440-40-222-4-44-20-222-2000-4420000000002-200000000000000000000000000000000−i6i6i6−i6000000000
χ664-44-4-24-4040-222-4-44-20-22220004-4-2000000000-2200000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ674-44-4-24-4040-222-4-44-20-22220004-4-2000000000-22000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ684-4-44440-404-4-444-4-440-4-440-4-440004000000000000-4400000000000000000000000000000000000000000
χ694-4-444-2040-4-4-44-222-2022-204-22000-4000000000000-22004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ704-4-444-2040-4-4-44-222-2022-204-22000-4000000000000-2200−4i4i00002i−2i2i−2i00000000000000000000000000000
χ714-4-444-20-404-4-44-222-2022-20-42-200040000000000002-20000000023−23−232300000000000000000000000000000
χ724-4-444-20-404-4-44-222-2022-20-42-200040000000000002-200000000−232323−2300000000000000000000000000000
χ734-4-44-24040-422-24-4-4-2022-20-24-40002000000000000-22000000000000000000000000−2i22i2000000i2−i2i2−i200000
χ744-4-44-24040-422-24-4-4-2022-20-24-40002000000000000-220000000000000000000000002i2−2i2000000−i2i2−i2i200000
χ754-4-44-240-40422-24-4-4-2022-202-44000-20000000000002-200000000000000000000000000000000i6−i6−i6i600000
χ764-4-44-240-40422-24-4-4-2022-202-44000-20000000000002-200000000000000000000000000000000−i6i6i6−i600000
χ7788-8-88-40000-88-84-44-404-44000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800004-44-88-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400004-444-4420-22-20000000000000000006-60000000000000000000000000000000000000000000
χ8088-8-8-4-400004-444-4420-22-2000000000000000000-660000000000000000000000000000000000000000000
χ818-88-8-4-480-80-44444-4202-2-2-40004-44000000000-22000000000000000000000000000000000000000000000
χ828-88-8-4-4-8080-44444-4202-2-24000-44-40000000002-2000000000000000000000000000000000000000000000
χ838-8-88-4-4080-844-4-44420-2-220-4-4400040000000000002-200000000000000000000000000000000000000000
χ848-8-88-4-40-80844-4-44420-2-22044-4000-4000000000000-2200000000000000000000000000000000000000000

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