Finite Group Databasebeta

← Group #11780436

Character table — Group #11780436

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444448888888888888812121212121212121212121216161616161624242424242424242424242424242424242436363636144
order1222334444666666346661212121212121212441212121212121212121212122244666612121212121212121212246688881212242424242424242488884
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
χ511111111111111111111111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-11111-1
χ611111111111111111111111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11
χ711111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11
χ811111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111111111-1
χ92222222-22-22222222-2222-22-2-222-2200-2-20000-2-2-2-2222200222200000000000-2000000-2-20000000000000
χ102222222-22-22222222-2222-22-2-222-2200-2-20000-2-2-2-222-2-200-2-2-2-2000000000002000000220000000000000
χ11222222-22-222222222-22222-222-2-22-200-2-2000022-2-2-2-2002200002222000000-20-2-20000000000000000000
χ12222222-22-222222222-22222-222-2-22-200-2-2000022-2-2-2-200-2-20000-2-2-2-200000020220000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-222-2-20000000000002-222-2-200000000000000000000000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2222-2-222-2-222-2-2000000000000-22-2-22200000000000000000000000
χ1522222-1222222-12-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-10000-1-10000000000000
χ1622222-1222222-12-1-1-12-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2110000110000000000000
χ1722222-1222222-12-1-1-12-1-1-122-1-1-1-122-2-22-11111-1-1-1-1-1-122-2-2-1-1-1-11111-2-21111-22110000-1-10000000000000
χ1822222-1222222-12-1-1-12-1-1-122-1-1-1-122-2-22-11111-1-1-1-1-1-1-2-2221111-1-1-1-1-2-211112-2-1-10000110000000000000
χ1922222-12-22-222-12-1-1-1-2-1-1-1-2211-1-1-2200-21−i3i3−i3i31111-1-12200-1-1-1-1−i3−i3i3i300−i3i3−i3i30-2−i3i30000110000000000000
χ2022222-12-22-222-12-1-1-1-2-1-1-1-2211-1-1-2200-21−i3i3−i3i31111-1-1-2-2001111i3i3−i3−i300−i3i3−i3i302i3−i30000-1-10000000000000
χ2122222-12-22-222-12-1-1-1-2-1-1-1-2211-1-1-2200-21i3−i3i3−i31111-1-12200-1-1-1-1i3i3−i3−i300i3−i3i3−i30-2i3−i30000110000000000000
χ2222222-12-22-222-12-1-1-1-2-1-1-1-2211-1-1-2200-21i3−i3i3−i31111-1-1-2-2001111−i3−i3i3i300i3−i3i3−i302−i3i30000-1-10000000000000
χ2322222-1-22-2222-12-1-1-1-2-1-1-12-2-1-1112-200-21−i3i3i3−i3-1-111110022−i3−i3i3i3-1-1-1-100−i3i3i3−i3-20110000−i3i30000000000000
χ2422222-1-22-2222-12-1-1-1-2-1-1-12-2-1-1112-200-21−i3i3i3−i3-1-1111100-2-2i3i3−i3−i3111100−i3i3i3−i320-1-10000i3−i30000000000000
χ2522222-1-22-2222-12-1-1-1-2-1-1-12-2-1-1112-200-21i3−i3−i3i3-1-111110022i3i3−i3−i3-1-1-1-100i3−i3−i3i3-20110000i3−i30000000000000
χ2622222-1-22-2222-12-1-1-1-2-1-1-12-2-1-1112-200-21i3−i3−i3i3-1-1111100-2-2−i3−i3i3i3111100i3−i3−i3i320-1-10000−i3i30000000000000
χ2722222-1-2-2-2-222-12-1-1-12-1-1-1-2-21111-2-22-22-1-1-11111-1-1110000−i3−i3i3i3−i3−i3i3i32-2-1-11100i3−i30000i3−i30000000000000
χ2822222-1-2-2-2-222-12-1-1-12-1-1-1-2-21111-2-22-22-1-1-11111-1-1110000i3i3−i3−i3i3i3−i3−i32-2-1-11100−i3i30000−i3i30000000000000
χ2922222-1-2-2-2-222-12-1-1-12-1-1-1-2-21111-2-2-222-111-1-111-1-1110000−i3−i3i3i3i3i3−i3−i3-2211-1-100−i3i30000i3−i30000000000000
χ3022222-1-2-2-2-222-12-1-1-12-1-1-1-2-21111-2-2-222-111-1-111-1-1110000i3i3−i3−i3−i3−i3i3i3-2211-1-100i3−i30000−i3i30000000000000
χ312222-122222-1-12-122-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-100000
χ322222-122222-1-12-122-12-1-1-1-1-12222-1-122-122222-1-1-1-1-1-1000000000000-1-1-1-1-1-10000-2-2-2-2001111111100000
χ332222-122222-1-12-122-12-1-1-1-1-12222-1-1-2-2-12-2-2-2-2-1-1-1-1-1-1000000000000111111000022-2-200-1-1-1-1111100000
χ342222-122222-1-12-122-12-1-1-1-1-12222-1-1-2-2-12-2-2-2-2-1-1-1-1-1-10000000000001111110000-2-222001111-1-1-1-100000
χ352222-12-2-2-2-2-1-12-122-12-1-1-111-2-2-2-2112-2-1222-2-211-1-111000000000000-11-1-111000000000033−3−333−3−300000
χ362222-12-2-2-2-2-1-12-122-12-1-1-111-2-2-2-2112-2-1222-2-211-1-111000000000000-11-1-1110000000000−3−333−3−33300000
χ372222-12-2-2-2-2-1-12-122-12-1-1-111-2-2-2-211-22-12-2-22211-1-1110000000000001-111-1-1000000000033−3−3−3−33300000
χ382222-12-2-2-2-2-1-12-122-12-1-1-111-2-2-2-211-22-12-2-22211-1-1110000000000001-111-1-10000000000−3−33333−3−300000
χ392-22-22220-20-2-2-22-2220-2-2202002-20-20000000000002-22-2002-22-200000000000000−i2i20000−i2i2−i2i20000−i2−i2i2i20
χ402-22-22220-20-2-2-22-2220-2-2202002-20-20000000000002-22-2002-22-200000000000000i2−i20000i2−i2i2−i20000i2i2−i2−i20
χ412-22-22220-20-2-2-22-2220-2-2202002-20-20000000000002-2-2200-22-2200000000000000−i2i20000−i2i2−i2i20000i2i2−i2−i20
χ422-22-22220-20-2-2-22-2220-2-2202002-20-20000000000002-2-2200-22-2200000000000000i2−i20000i2−i2i2−i20000−i2−i2i2i20
χ432-2-2222020-22-2-2-22-2202-2-2202-200-20000000002-20000002i−2i00002i−2i2i−2i0000000000002−20000002−22−2−i2i2−i2i20
χ442-2-2222020-22-2-2-22-2202-2-2202-200-20000000002-20000002i−2i00002i−2i2i−2i000000000000−22000000−22−22i2−i2i2−i20
χ452-2-2222020-22-2-2-22-2202-2-2202-200-20000000002-2000000−2i2i0000−2i2i−2i2i0000000000002−20000002−22−2i2−i2i2−i20
χ462-2-2222020-22-2-2-22-2202-2-2202-200-20000000002-2000000−2i2i0000−2i2i−2i2i000000000000−22000000−22−22−i2i2−i2i20
χ474444-244-44-4-2-24-244-2-4-2-2-22-2-4-4442-2002-400002222-2-200000000000000000000000000000000000000000
χ484444-24-44-44-2-24-244-2-4-2-2-2-2244-4-4-22002-40000-2-2222200000000000000000000000000000000000000000
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
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2222211111100000000000022-1-1-1-100000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-21-41112-222-2-22-20022−2i32i3−2i32i3-1-1-1-11100000000000000i3−i3i3−i300000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-21-41112-222-2-22-200222i3−2i32i3−2i3-1-1-1-11100000000000000−i3i3−i3i300000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-21-4111-22-2-222-220022−2i32i32i3−2i311-1-1-1-100000000000000i3−i3−i3i300000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-21-4111-22-2-222-2200222i3−2i3−2i32i311-1-1-1-100000000000000−i3i3i3−i300000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-2-222-1-111-1-1000000000000-2211-1-100000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-222-2-2-1-111-1-10000000000002-2-1-11100000000000000000000000
χ5744-4-4440000-444-4-4-440-44-400000000000000000000000000000000000000000000000000000000002-2-220
χ5844-4-4440000-444-4-4-440-44-40000000000000000000000000000000000000000000000000000000000-222-20
χ594-44-444-4040-4-4-44-4440-4-440-400-4404000000000000-4400000000000000000000000000000000000000000
χ604-44-44-240-40-4-4242-2-2022-20400-220-4000000000000-224-400-22-22000000000000000000000000000000000
χ614-44-44-240-40-4-4242-2-2022-20400-220-4000000000000-22-44002-22-2000000000000000000000000000000000
χ624-44-44-2-4040-4-4242-2-2022-20-4002-2040000000000002-20000−2i32i32i3−2i3000000000000000000000000000000000
χ634-44-44-2-4040-4-4242-2-2022-20-4002-2040000000000002-200002i3−2i3−2i32i3000000000000000000000000000000000
χ644-44-4-2440-4022-4-2-44-2022-20-2004-402000000000000-220000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ654-44-4-2440-4022-4-2-44-2022-20-2004-402000000000000-2200000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ664-44-4-24-404022-4-2-44-2022-20200-440-20000000000002-20000000000000000000000000000i6−i6−i6i6000000000
χ674-44-4-24-404022-4-2-44-2022-20200-440-20000000000002-20000000000000000000000000000−i6i6i6−i6000000000
χ684-4-44440-4044-4-4-44-4404-4-4-40-44004000000000-44000000000000000000000000000000000000000000000
χ694-4-444-2040-44-42-4-22-20-22240-2200-4000000000-220000004i−4i0000−2i2i−2i2i00000000000000000000000000000
χ704-4-444-2040-44-42-4-22-20-22240-2200-4000000000-22000000−4i4i00002i−2i2i−2i00000000000000000000000000000
χ714-4-444-20-4044-42-4-22-20-222-402-20040000000002-200000000000023−23−232300000000000000000000000000000
χ724-4-444-20-4044-42-4-22-20-222-402-20040000000002-2000000000000−232323−2300000000000000000000000000000
χ734-4-44-24040-4-22-424-4-20-222-204-4002000000000-22000000000000000000000000000022−22000000−22−2200000
χ744-4-44-24040-4-22-424-4-20-222-204-4002000000000-220000000000000000000000000000−22220000002−22−200000
χ754-4-44-240-404-22-424-4-20-22220-4400-20000000002-20000000000000000000000000000000000006−6−6600000
χ764-4-44-240-404-22-424-4-20-22220-4400-20000000002-2000000000000000000000000000000000000−666−600000
χ7788-8-88-40000-88-4-844-404-44000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800004-484-8-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400004-4-444420-22-20000000000000000006-60000000000000000000000000000000000000000000
χ8088-8-8-4-400004-4-444420-22-2000000000000000000-660000000000000000000000000000000000000000000
χ818-88-8-4-480-80444-44-420-2-220-400-44040000000000002-200000000000000000000000000000000000000000
χ828-88-8-4-4-8080444-44-420-2-2204004-40-4000000000000-2200000000000000000000000000000000000000000
χ838-8-88-4-4080-8-4444-44202-2-2-40-440040000000002-2000000000000000000000000000000000000000000000
χ848-8-88-4-40-808-4444-44202-2-2404-400-4000000000-22000000000000000000000000000000000000000000000

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