Finite Group Databasebeta

← Group #11889460

Character table — Group #11889460

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121222448121212121212242424242424242424444446688121212121212121244681212121212242424244488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1111-111-1-1-1-1111111-11-11-1-111111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1111-111-1-1-111-1111-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-1-111-1-1-1-11-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-111-11-1-1111-11-1-1-1111-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-111111-11111-1-1-11-1-111-1-1-1-111111-1-111-1-111-1-11-1
χ7111111111111111111111111-1-11-1-1-1-111111111111-1-11-1-11111111-1-1-1-1-1-1-1-111-1-11-1-111111111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-11111111111-1111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1-11-111
χ91111111111111111111111-1-111111111111111111111-1-1-11-1-111111111111-11-111-1-1-1-1-111-1-1-1-11-1-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-1111-1-1-1-1111-111-1-1-1-11111-11111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-111-1-11-1-11-1-1-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-111-11-1-1111111-1-1-1-1-111-1-1-1-111111-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11-1-111-11-1111-1-1-1111111-1-1-11-11
χ151111111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1111-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1111
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000200-200-22200-2-2000000002000-2000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-200222002200000000-2000-20000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200200-2-2-200-2-200000000200020000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000-2002002-2-2002200000000-20002000000-22000000
χ2122222-12222-1-1-12-1-1-1-1-12-1200222-1-122-1-122-1-1-1-1-1-122200020022-1-12-1-1-1-1-120-10-1-100000-1-10000-1000
χ2222222-12222-1-1-12-1-1-1-1-12-1200222-1-122-1-122-1-1-1-1-1-1-2-2-2000-200-2-2112-1-1-1-1-1-201011000001100001000
χ2322222-12222-1-1-12-1-1-1-1-12-12002-2-2-1-1-2-2-1-1-2-2111111222000200-2-2-1-121-1-111-20-10-1-1000001100001000
χ2422222-12222-1-1-12-1-1-1-1-12-12002-2-2-1-1-2-2-1-1-2-2111111-2-2-2000-200221121-1-11120101100000-1-10000-1000
χ2522222-12222-1-1-12-1-1-1-1-12-1200-22-21122-1-1-2-21111112-2-2000200-2-2-1-1-2-111-1-120-101100000110000-1000
χ2622222-12222-1-1-12-1-1-1-1-12-1200-22-21122-1-1-2-2111111-222000-2002211-2-111-1-1-2010-1-100000-1-100001000
χ2722222-12222-1-1-12-1-1-1-1-12-1200-2-2211-2-2-1-122-1-1-1-1-1-12-2-200020022-1-1-211111-20-101100000-1-100001000
χ2822222-12222-1-1-12-1-1-1-1-12-1200-2-2211-2-2-1-122-1-1-1-1-1-1-222000-200-2-211-2111112010-1-100000110000-1000
χ292222-1222-1-1222-1-1-1-1-12-12-12222222-1-1-1-1-1-122-1-1-1-10002220-1-10000-12-1-1-1-1020200-1-1-1-1-10000000-100
χ302222-1222-1-1222-1-1-1-1-12-12-1222-2-22211-1-111-2-211110002-2-20-1-10000-1-2-1-111020-200-111110000000-100
χ312222-1222-1-1222-1-1-1-1-12-12-122-22-2-2-2-1-1-1-111-2-211110002220-1-100001211-1-10-20-200-1-1-1110000000100
χ322222-1222-1-1222-1-1-1-1-12-12-122-2-22-2-211-1-1-1-122-1-1-1-10002-2-20-1-100001-211110-20200-111-1-10000000100
χ332222-1222-1-1222-1-1-1-1-12-12-1-2-222222-1-1-1-1-1-122-1-1-1-1000-2-2-20110000-12-1-1-1-10-20-200111110000000100
χ342222-1222-1-1222-1-1-1-1-12-12-1-2-22-2-22211-1-111-2-21111000-2220110000-1-2-1-1110-202001-1-1-1-10000000100
χ352222-1222-1-1222-1-1-1-1-12-12-1-2-2-22-2-2-2-1-1-1-111-2-21111000-2-2-201100001211-1-1020200111-1-10000000-100
χ362222-1222-1-1222-1-1-1-1-12-12-1-2-2-2-22-2-211-1-1-1-122-1-1-1-1000-22201100001-21111020-2001-1-1110000000-100
χ372-2-22222-2-2-22-2-222-2-2222-2-2000000000-220000000002i−2i02-2000000000000000002i−2i02-20000002i−2i0000
χ382-2-22222-2-2-22-2-222-2-2222-2-2000000000-220000000002i−2i0-22000000000000000002i−2i0-22000000−2i2i0000
χ392-2-22222-2-2-22-2-222-2-2222-2-2000000000-22000000000−2i2i02-200000000000000000−2i2i02-2000000−2i2i0000
χ402-2-22222-2-2-22-2-222-2-2222-2-2000000000-22000000000−2i2i0-2200000000000000000−2i2i0-220000002i−2i0000
χ4144444-2-4-444-2-2-24-2-2-2-22-42-40000000002200000000400000-400002200000000-2000000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-22-42-40000000002200000000-40000040000-2-2000000002000000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-2-42-424400000002200000000000-4000-2-20000000000000000200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-2-42-42-4-4000000022000000000004000220000000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-44400-44-4-44-44-44-40000000000000000000000000000000022−22000000000000000000022−2200000000
χ5044-4-44400-44-4-44-44-44-400000000000000000000000000000000−22220000000000000000000−222200000000
χ5144-4-44-200-4422-2-4-22-22000000000000000006−666−6−600000000022−2223−2300000000000000000−2200000000
χ5244-4-44-200-4422-2-4-22-22000000000000000006−666−6−6000000000−2222−2323000000000000000002−200000000
χ5344-4-44-200-4422-2-4-22-2200000000000000000−66−6−66600000000022−22−232300000000000000000−2200000000
χ5444-4-44-200-4422-2-4-22-2200000000000000000−66−6−666000000000−222223−23000000000000000002−200000000
χ554-44-444004-4-44-4-444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ564-44-444004-4-44-4-444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ574-44-4-2400-22-44-42-2-22200004-4000000000i6−i600i6−i6i6−i60000000-220000000000000000000i6−i60000000000
χ584-44-4-2400-22-44-42-2-22200004-4000000000−i6i600−i6i6−i6i60000000-220000000000000000000−i6i60000000000
χ594-44-4-2400-22-44-42-2-2220000-44000000000i6−i600i6−i6i6−i600000002-20000000000000000000−i6i60000000000
χ604-44-4-2400-22-44-42-2-2220000-44000000000−i6i600−i6i6−i6i600000002-20000000000000000000i6−i60000000000
χ614-4-4444-44-4-44-4-444-4-44-4-4440000000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-4-2224-222-2-242-40000000002-20000000004i−4i00000000000000000000−2i2i000000000000000
χ634-4-444-24-4-4-4-2224-222-2-242-40000000002-2000000000−4i4i000000000000000000002i−2i000000000000000
χ644-4-444-2-44-4-4-2224-222-22-4-240000023−2300-220000000000000000000000023−2300000000000000000000000
χ654-4-444-2-44-4-4-2224-222-22-4-2400000−232300-2200000000000000000000000−232300000000000000000000000
χ664-4-44-244-4224-4-4-2-222-24-2-420000000002-20000000000004-400000000000000000000-22000000000000
χ674-4-44-244-4224-4-4-2-222-24-2-420000000002-2000000000000-44000000000000000000002-2000000000000
χ684-4-44-24-44224-4-4-2-222-2-424-20000000−2i32i3-220000000000000000000000000−2i32i3000000000000000000000
χ694-4-44-24-44224-4-4-2-222-2-424-200000002i3−2i3-2200000000000000000000000002i3−2i3000000000000000000000
χ704-4-44-2-2-4422-222-21-1-1122-2-20000023−23−2i32i31-100003i−3i−3i3i000000000000000−33i3−i3000000000000000000000
χ714-4-44-2-2-4422-222-21-1-1122-2-20000023−232i3−2i31-10000−3i3i3i−3i000000000000000−33−i3i3000000000000000000000
χ724-4-44-2-2-4422-222-21-1-1122-2-200000−2323−2i32i31-10000−3i3i3i−3i0000000000000003−3i3−i3000000000000000000000
χ734-4-44-2-2-4422-222-21-1-1122-2-200000−23232i3−2i31-100003i−3i−3i3i0000000000000003−3−i3i3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-48004-4-8-884-44-44000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-444-442-22-20000000000000000026−26−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-4004-444-442-22-200000000000000000−262666−6−60000000000000000000000000000000000000000
χ788-88-88-4008-84-44-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-44422-2-20000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-400-444-44422-2-2000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-48-844-444-42-2-22-4-444000000000-22000000000000000000000000000000000000000000000000

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