Finite Group Databasebeta

← Group #11895960

Character table — Group #11895960

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666634466612121212442812121212121224242424242424244448812121212666612122244812121212121224242424444488664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-11111111-11-11111-1-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1111111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-111-1-1111-1-1-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-11111111111111111-11111-1-111111111-11-11-1-1-1-1111-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-111111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111111111-1-111-1-1-11-1-11-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-11-1-11-11-1-1-111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-11111-1-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-11-1111-1-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111-11111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-11111-1-111-1-1-1-1-1-11-11-1-1-1111-1-1-1-111-1-111-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-11111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-200222200000000000-200-20000002-20000000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-220022-2-200000000000-2002000000-220000000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-200-2-22200000000000200-2000000-220000000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-2200-2-2-2-20000000000020020000002-20000000
χ2122222-12222-1-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-10222200-1-12-1-1-1-1-102020000-1-1-100-1-10000000-10
χ2222222-12222-1-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-10-2-2-2-200112-1-1-1-1-10-20-200001110011000000010
χ2322222-12222-1-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-2111111022-2-200-1-1-2111-1-10-2020000-1-1-10011000000010
χ2422222-12222-1-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-21111110-2-2220011-2111-1-1020-2000011100-1-10000000-10
χ2522222-12222-1-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-2111111022-2-200-1-12-1-1-111020-20000-11100110000000-10
χ2622222-12222-1-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-21111110-2-22200112-1-1-1110-20200001-1-100-1-1000000010
χ2722222-12222-1-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-10222200-1-1-2111110-20-20000-11100-1-1000000010
χ2822222-12222-1-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-10-2-2-2-20011-211111020200001-1-100110000000-10
χ292222-1222-1-122-12-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-120000-1-100-12-1-1-1-120202-1-1-1000-1-100000000-100
χ302222-1222-1-122-12-122-1-1-1-12-1222-2-2-1-122-1-111-2-2111120000-1-1001-211-1-1-2020-2-1-1-10001100000000100
χ312222-1222-1-122-12-122-1-1-1-12-12-2-222-1-122-1-1-1-122-1-1-1-1-200001100-12-1-1-1-1-20-20-21110001100000000100
χ322222-1222-1-122-12-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-21111-2000011001-211-1-120-202111000-1-100000000-100
χ332222-1222-1-122-12-1-2-2-1-1-1-12-12222-211-2-2-1-111-2-2111120000-1-100-12-1-11120-20-2-1110001100000000-100
χ342222-1222-1-122-12-1-2-2-1-1-1-12-1222-2211-2-2-1-1-1-122-1-1-1-120000-1-1001-21111-20-202-111000-1-100000000100
χ352222-1222-1-122-12-1-2-2-1-1-1-12-12-2-22-211-2-2-1-111-2-21111-200001100-12-1-111-202021-1-1000-1-100000000100
χ362222-1222-1-122-12-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-1-1-122-1-1-1-1-2000011001-211112020-21-1-10001100000000-100
χ3722-2-2222-22-22-2-2-222-2-2-22-2-22200002-22-2-220000000000000000000002-2000000000000000002i−2i2i−2i000
χ3822-2-2222-22-22-2-2-222-2-2-22-2-22200002-22-2-220000000000000000000002-200000000000000000−2i2i−2i2i000
χ3922-2-2222-22-22-2-2-22-22-2-22-2-2220000-22-22-22000000000000000000000-22000000000000000002i−2i−2i2i000
χ4022-2-2222-22-22-2-2-22-22-2-22-2-2220000-22-22-22000000000000000000000-2200000000000000000−2i2i2i−2i000
χ4144444-2-4-444-2-24-2-200-2-2-2-42-4200000000220000000004-40000-2-2000000000000002000000000000000
χ4244444-2-4-444-2-24-2-200-2-2-2-42-420000000022000000000-4400002200000000000000-2000000000000000
χ434444-24-4-4-2-244-24-200-2-2-22-42-4440000002200000000-40000-2-200000000000002000000000000000000
χ444444-24-4-4-2-244-24-200-2-2-22-42-4-4-4000000220000000040000220000000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-100000000022-1-111000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-211-1-1000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444-444-44-4-4-4400-4-4444-4-4000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-4-22-42-24-422-2-424-200004-4-222-2000000000000000000000-22000000000000000000000000
χ5144-4-44-24-44-4-22-42-2-4422-2-424-20000-442-22-20000000000000000000002-2000000000000000000000000
χ5244-4-44-2-444-4-22-42-20022-24-2-4200000000-220000000000000000000000000000000023−230000000000000
χ5344-4-44-2-444-4-22-42-20022-24-2-4200000000-2200000000000000000000000000000000−23230000000000000
χ5444-4-4-244-4-224-42-4-24-422-22-4-240000-224-42-2000000000000000000000-22000000000000000000000000
χ5544-4-4-244-4-224-42-4-2-4422-22-4-2400002-2-442-20000000000000000000002-2000000000000000000000000
χ5644-4-4-24-44-224-42-4-20022-2-242-400000000-220000000000000000000000000000023−230000000000000000
χ5744-4-4-24-44-224-42-4-20022-2-242-400000000-2200000000000000000000000000000−23230000000000000000
χ5844-4-4-2-24-4-22-222214-4-1-1122-2-20000-22-22-11000033-3-3000000000003-31-1000000000000000000000000
χ5944-4-4-2-24-4-22-222214-4-1-1122-2-20000-22-22-110000-3-33300000000000-331-1000000000000000000000000
χ6044-4-4-2-24-4-22-22221-44-1-1122-2-200002-22-2-11000033-3-300000000000-33-11000000000000000000000000
χ6144-4-4-2-24-4-22-22221-44-1-1122-2-200002-22-2-110000-3-333000000000003-3-11000000000000000000000000
χ624-44-44400-4-4-444-44004-4-40000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ634-44-44400-4-4-444-44004-4-400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ644-44-44-200-4-42-242-200-22200000000000000006−66−66−6000−2i22i200−2i32i30000000000000000000i2−i2000000000
χ654-44-44-200-4-42-242-200-22200000000000000006−66−66−60002i2−2i2002i3−2i30000000000000000000−i2i2000000000
χ664-44-44-200-4-42-242-200-2220000000000000000−66−66−66000−2i22i2002i3−2i30000000000000000000i2−i2000000000
χ674-44-44-200-4-42-242-200-2220000000000000000−66−66−660002i2−2i200−2i32i30000000000000000000−i2i2000000000
χ684-4-444400-44-4-4-44400-44-400004-40000000000000000000004-400000000000000000000000000000000
χ694-4-444400-44-4-4-44400-44-40000-44000000000000000000000-4400000000000000000000000000000000
χ704-4-44-24002-2-4-424-2002-2200004-4000000006−6006−6−6600000-2200000000000000000006−600000000000
χ714-4-44-24002-2-4-424-2002-2200004-400000000−6600−666−600000-220000000000000000000−6600000000000
χ724-4-44-24002-2-4-424-2002-220000-44000000006−6006−6−66000002-20000000000000000000−6600000000000
χ734-4-44-24002-2-4-424-2002-220000-4400000000−6600−666−6000002-200000000000000000006−600000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-44-4444200-2-22-4-444000000002-200000000000000000000000000000000000000000000000
χ768-88-8-480044-88-4-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400444-4-442002-2-2000000000000000026−26−66−66000000000000000000000000000000000000000
χ788-88-8-4-400444-4-442002-2-20000000000000000−26266−66−6000000000000000000000000000000000000000
χ798-8-888-400-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004-4444-4200-22-20000000000000026−2600−666−6000000000000000000000000000000000000000
χ818-8-88-4-4004-4444-4200-22-200000000000000−2626006−6−66000000000000000000000000000000000000000

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