Finite Group Databasebeta

← Group #11889733

Character table — Group #11889733

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666634466612121212224812121212121224242424242424244446688121212121212121224448121212121212242424242224886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1-1-1111111-1-1111-11-1-11111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-111-1-1111111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11-11-1-1-11-1-111-1-111-111-1111-1-1
χ5111111111111111111111111-1-111111111111111111-11-1-1111111111111-1-1-11-111-1-1-1-111-1-1-1-1-1-11-1-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-11-1111-111-1-111-1-1-111-111-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-1-1-1-1-111111-1-11-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11-111-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-11-11-1-1111-1-1-1-111-1-1-1-111-111
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-111-1-1-111-1-1-11-11
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1111-11-111-1-1-11111-1-1-1-1-1-1111-11
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-111-11-1-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-11-1-11111-1-1-1-1-1-1-1-111-11-1-1-111-1-111-111-1-1-1-111
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11-1-111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-222002200000000000-2-200000000200-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-222200-2-2000000000002-200000000-200200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-2-2-2002200000000000-2200000000-200200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-222-2-200-2-2000000000002200000000200-200000
χ2122222-1222-1-12-12-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-12020022-1-12-1-1-1-1-122000-10-1-10000-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-20-200-2-2112-1-1-1-1-1-2-20001011000011000000100
χ2322222-1222-1-12-12-122-1-1-1-122-100-2-2-1-122-1-1-2-211111120200-2-2-1-1-21-1-111-22000-10-1-1000011000000100
χ2422222-1222-1-12-12-122-1-1-1-122-100-2-2-1-122-1-1-2-2111111-20-2002211-21-1-1112-200010110000-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-211111120200-2-2-1-12-111-1-12-2000-1011000011000000-100
χ2622222-1222-1-12-12-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-2111111-20-20022112-111-1-1-2200010-1-10000-1-1000000100
χ2722222-1222-1-12-12-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-12020022-1-1-211111-2-2000-10110000-1-1000000100
χ2822222-1222-1-12-12-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-1-20-200-2-211-2111112200010-1-1000011000000-100
χ292222-1222-122-12-1-122-1-1-12-1-12222222-1-1-1-1-1-122-1-1-1-1020-1-10000-12-1-1-1-1002220-100-1-1-1-1000000000-10
χ302222-1222-122-12-1-122-1-1-12-1-1222-2-222-1-1-1-111-2-21111020-1-100001-2-1-111002-2-20-100-1-11100000000010
χ312222-1222-122-12-1-122-1-1-12-1-12-2-22222-1-1-1-1-1-122-1-1-1-10-20110000-12-1-1-1-100-2-2-20100111100000000010
χ322222-1222-122-12-1-122-1-1-12-1-12-2-2-2-222-1-1-1-111-2-211110-201100001-2-1-11100-222010011-1-1000000000-10
χ332222-1222-122-12-1-1-2-2-1-1-12-1-12222-2-2-211-1-111-2-21111020-1-10000-1211-1-100-22-20-1001111000000000-10
χ342222-1222-122-12-1-1-2-2-1-1-12-1-1222-22-2-211-1-1-1-122-1-1-1-1020-1-100001-2111100-2-220-10011-1-100000000010
χ352222-1222-122-12-1-1-2-2-1-1-12-1-12-2-22-2-2-211-1-111-2-211110-20110000-1211-1-1002-220100-1-1-1-100000000010
χ362222-1222-122-12-1-1-2-2-1-1-12-1-12-2-2-22-2-211-1-1-1-122-1-1-1-10-201100001-211110022-20100-1-111000000000-10
χ372-22-2222-2-2-2-222-222i−2i-2-222-22-200002i−2i2i−2i2-200000000000000000002i−2i0000000000000000002-202i−2i000
χ382-22-2222-2-2-2-222-222i−2i-2-222-22-200002i−2i2i−2i2-200000000000000000002i−2i000000000000000000-220−2i2i000
χ392-22-2222-2-2-2-222-22−2i2i-2-222-22-20000−2i2i−2i2i2-20000000000000000000−2i2i0000000000000000002-20−2i2i000
χ402-22-2222-2-2-2-222-22−2i2i-2-222-22-20000−2i2i−2i2i2-20000000000000000000−2i2i000000000000000000-2202i−2i000
χ4144444-2-4-44-2-24-24-200-2-2-22-4-4200000000220000000040-40000-2-2000000000002000000000000000000
χ4244444-2-4-44-2-24-24-200-2-2-22-4-42000000002200000000-40400002200000000000-2000000000000000000
χ434444-24-4-4-244-24-2-200-2-2-2-422-44400000022000000000-40-2-20000000000000000200000000000000000
χ444444-24-4-4-244-24-2-200-2-2-2-422-4-4-40000002200000000040220000000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-4440044-4-4-4-44004-4-400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-4440044-4-4-4-44004-4-40000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-4-2400-24-42-42-200-22200004-400000000i6−i600i6i6−i6−i6000-22000000000000000000000i6−i600000000000
χ5244-4-4-2400-24-42-42-200-22200004-400000000−i6i600−i6−i6i6i6000-22000000000000000000000−i6i600000000000
χ5344-4-4-2400-24-42-42-200-2220000-4400000000i6−i600i6i6−i6−i60002-2000000000000000000000−i6i600000000000
χ5444-4-4-2400-24-42-42-200-2220000-4400000000−i6i600−i6−i6i6i60002-2000000000000000000000i6−i600000000000
χ554-44-444-44-4-4-444-4400-4-44-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-4224-2-4-24i−4i22-2-2-4420000−2i2i4i−4i-220000000000000000000−2i2i00000000000000000000000000
χ574-44-44-24-4-4224-2-4-2−4i4i22-2-2-44200002i−2i−4i4i-2200000000000000000002i−2i00000000000000000000000000
χ584-44-44-2-44-4224-2-4-20022-224-4-2000000002-2000000000000000000000000000000−2i32i3000000000000000
χ594-44-44-2-44-4224-2-4-20022-224-4-2000000002-20000000000000000000000000000002i3−2i3000000000000000
χ604-44-4-244-42-4-4-242-24i−4i22-242-2-400004i−4i−2i2i-220000000000000000000−2i2i00000000000000000000000000
χ614-44-4-244-42-4-4-242-2−4i4i22-242-2-40000−4i4i2i−2i-2200000000000000000002i−2i00000000000000000000000000
χ624-44-4-24-442-4-4-242-20022-2-4-224000000002-20000000000000000000000000000000023−230000000000000
χ634-44-4-24-442-4-4-242-20022-2-4-224000000002-200000000000000000000000000000000−23230000000000000
χ644-44-4-2-24-4222-2-2214i−4i-1-11-22-220000−2i2i−2i2i1-100003i−3i3i−3i00000000000i−i3-3000000000000000000000000
χ654-44-4-2-24-4222-2-2214i−4i-1-11-22-220000−2i2i−2i2i1-10000−3i3i−3i3i00000000000i−i-33000000000000000000000000
χ664-44-4-2-24-4222-2-221−4i4i-1-11-22-2200002i−2i2i−2i1-100003i−3i3i−3i00000000000−ii-33000000000000000000000000
χ674-44-4-2-24-4222-2-221−4i4i-1-11-22-2200002i−2i2i−2i1-10000−3i3i−3i3i00000000000−ii3-3000000000000000000000000
χ684-4-444400-4-44-4-44400-44-400000000000000000000000000022−2200000000000000000000022−22000000000
χ694-4-444400-4-44-4-44400-44-4000000000000000000000000000−2222000000000000000000000−2222000000000
χ704-4-444-200-42-2-424-2002-2200000000000000006−66−6−660000022−2223−230000000000000000000−22000000000
χ714-4-444-200-42-2-424-2002-2200000000000000006−66−6−6600000−2222−232300000000000000000002−2000000000
χ724-4-444-200-42-2-424-2002-220000000000000000−66−666−60000022−22−23230000000000000000000−22000000000
χ734-4-444-200-42-2-424-2002-220000000000000000−66−666−600000−222223−2300000000000000000002−2000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-4008-44-84-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-444442002-2-2000000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-400-4-444442002-2-200000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-4-4-88444-4-44200-2-224-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-88-48004-884-8-4-4004-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-4200-22-2000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-40044-444-4200-22-20000000000000000−26266−6−66000000000000000000000000000000000000000

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