Finite Group Databasebeta

← Group #11895958

Character table — Group #11895958

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666634466612121212442668121212121212242424242424242444444881212121212126661212244812121212121212242424244488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111-11111-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-111-111-111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-111-11-1-1111-1-11111-1-1-1-111-11-1
χ5111111111111111111111111-1-1111111111111111111-1111111-1-1111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-111-1-1-111-1-1-1-111-1-11111-1
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-111111111-1-11-11
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111111-1-11-1-1-11-1-1-1-111-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-11-11-11-1-111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-1-1-11-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1
χ12111111111111111-1-1111111111-1-1-11-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-11-111-1-111-1-111-1-111-1-11
χ14111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1111-11111-1-1111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-111-1-111-1-11111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111111-1-1
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-22-200002222-2-2000000000-200000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-2-22000022-2-222000000000-20000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000022-20000-2-222-2-200000000020000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002-220000-2-2-2-222000000000200000000002-200000
χ2122222-12222-1-1-12-122-1-1-1-122-122222222-1-1-1-122-1-1-1-1-1-12000000-1-10000-1-1-1-1-12202-1-1-1000000-1-10000-100
χ2222222-12222-1-1-12-122-1-1-1-122-122-2-2-2-222-1-1-1-1-2-21111112000000-1-10000111-1-1-220-2-1-1-1000000110000100
χ2322222-12222-1-1-12-122-1-1-1-122-1-2-2222222-1-1-1-122-1-1-1-1-1-1-2000000110000-1-1-1-1-1-2-20-2111000000110000100
χ2422222-12222-1-1-12-122-1-1-1-122-1-2-2-2-2-2-222-1-1-1-1-2-2111111-2000000110000111-1-12-202111000000-1-10000-100
χ2522222-12222-1-1-12-1-2-2-1-1-1-122-122222-2-2-211-1-1-2-21111112000000-1-10000-1-1-1112-20-2-111000000110000-100
χ2622222-12222-1-1-12-1-2-2-1-1-1-122-122-2-2-22-2-211-1-122-1-1-1-1-1-12000000-1-1000011111-2-202-111000000-1-10000100
χ2722222-12222-1-1-12-1-2-2-1-1-1-122-1-2-2222-2-2-211-1-1-2-2111111-2000000110000-1-1-111-22021-1-1000000-1-10000100
χ2822222-12222-1-1-12-1-2-2-1-1-1-122-1-2-2-2-2-22-2-211-1-122-1-1-1-1-1-1-200000011000011111220-21-1-1000000110000-100
χ292222-1222-1-1222-1-122-1-1-12-1-12002-1-12-1-122-1-1-1-122-1-1-1-1022222200-1-1-1-12-1-1-1-10020000-1-1-1-1-1-1000000000
χ302222-1222-1-1222-1-122-1-1-12-1-12002-1-12-1-122-1-1-1-122-1-1-1-10-2-2-2-2-2-20011112-1-1-1-100-20000111111000000000
χ312222-1222-1-1222-1-122-1-1-12-1-1200-211-2-1-122-1-111-2-21111022-2-2-2-200-1-1-1-1-211-1-10020000-1-11111000000000
χ322222-1222-1-1222-1-122-1-1-12-1-1200-211-2-1-122-1-111-2-211110-2-22222001111-211-1-100-2000011-1-1-1-1000000000
χ332222-1222-1-1222-1-1-2-2-1-1-12-1-12002-1-1-211-2-2-1-111-2-2111102222-2-200-1-1-1-12-1-11100-2000011-1-111000000000
χ342222-1222-1-1222-1-1-2-2-1-1-12-1-12002-1-1-211-2-2-1-111-2-211110-2-2-2-2220011112-1-1110020000-1-111-1-1000000000
χ352222-1222-1-1222-1-1-2-2-1-1-12-1-1200-211211-2-2-1-1-1-122-1-1-1-1022-2-22200-1-1-1-1-2111100-200001111-1-1000000000
χ362222-1222-1-1222-1-1-2-2-1-1-12-1-1200-211211-2-2-1-1-1-122-1-1-1-10-2-222-2-2001111-211110020000-1-1-1-111000000000
χ3722-2-222-222-22-2-2-222-2-2-22-22-220000002-22-2-22000000000002i−2i2i−2i0000000002-20000000002i−2i2i−2i000000000
χ3822-2-222-222-22-2-2-222-2-2-22-22-220000002-22-2-2200000000000−2i2i−2i2i0000000002-2000000000−2i2i−2i2i000000000
χ3922-2-222-222-22-2-2-22-22-2-22-22-22000000-22-22-22000000000002i−2i−2i2i000000000-220000000002i−2i−2i2i000000000
χ4022-2-222-222-22-2-2-22-22-2-22-22-22000000-22-22-2200000000000−2i2i2i−2i000000000-22000000000−2i2i2i−2i000000000
χ4122-2-2-12-22-112-2-21-12-211-1-2-112000−i3i30-112-21-1−i3i300−i3−i3i3i30002i−2i2i−2i003−33−30−i3i3-1100000003−3−ii−ii000000000
χ4222-2-2-12-22-112-2-21-12-211-1-2-112000−i3i30-112-21-1−i3i300−i3−i3i3i3000−2i2i−2i2i00−33−330−i3i3-110000000−33i−ii−i000000000
χ4322-2-2-12-22-112-2-21-12-211-1-2-112000i3−i30-112-21-1i3−i300i3i3−i3−i30002i−2i2i−2i00−33−330i3−i3-110000000−33−ii−ii000000000
χ4422-2-2-12-22-112-2-21-12-211-1-2-112000i3−i30-112-21-1i3−i300i3i3−i3−i3000−2i2i−2i2i003−33−30i3−i3-1100000003−3i−ii−i000000000
χ4522-2-2-12-22-112-2-21-1-2211-1-2-112000−i3i301-1-221-1i3−i300i3i3−i3−i30002i−2i−2i2i003−33−30−i3i31-10000000−33−iii−i000000000
χ4622-2-2-12-22-112-2-21-1-2211-1-2-112000−i3i301-1-221-1i3−i300i3i3−i3−i3000−2i2i2i−2i00−33−330−i3i31-100000003−3i−i−ii000000000
χ4722-2-2-12-22-112-2-21-1-2211-1-2-112000i3−i301-1-221-1−i3i300−i3−i3i3i30002i−2i−2i2i00−33−330i3−i31-100000003−3−iii−i000000000
χ4822-2-2-12-22-112-2-21-1-2211-1-2-112000i3−i301-1-221-1−i3i300−i3−i3i3i3000−2i2i2i−2i003−33−30i3−i31-10000000−33i−i−ii000000000
χ4944444-2-4-444-2-2-24-200-2-2-22-4-4244000000002200000000-4000000-2-20000000000000200000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-22-4-42-4-40000000022000000004000000220000000000000-200000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2-422-40000000000220000000004-4000000-2-222000000000000000000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2-422-4000000000022000000000-4400000022-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-2004-2-24-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-422-4-2-2-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-2-2-42222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4224222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-4444-44-44-4-4-4400-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-4-222-4-20022-2-2-4420000000000-22000000000000000000000000000000023−23000000000000000
χ5944-4-44-24-44-4-222-4-20022-2-2-4420000000000-220000000000000000000000000000000−2323000000000000000
χ6044-4-44-2-444-4-222-4-24-422-224-4-20000004-4-222-2000000000000000000000000-220000000000000000000000
χ6144-4-44-2-444-4-222-4-2-4422-224-4-2000000-442-22-20000000000000000000000002-20000000000000000000000
χ6244-4-4-244-4-224-4-42-20022-242-2-40000000000-220000000000000000023−23−2323000000000000000000000000000
χ6344-4-4-244-4-224-4-42-20022-242-2-40000000000-2200000000000000000−232323−23000000000000000000000000000
χ6444-4-4-2-2-44-22-222214-4-1-112-22-2000−2i32i30-22-22-11−2i32i300i3i3−i3−i300000000000000i3−i31-10000000000000000000000
χ6544-4-4-2-2-44-22-222214-4-1-112-22-20002i3−2i30-22-22-112i3−2i300−i3−i3i3i300000000000000−i3i31-10000000000000000000000
χ6644-4-4-2-2-44-22-22221-44-1-112-22-2000−2i32i302-22-2-112i3−2i300−i3−i3i3i300000000000000i3−i3-110000000000000000000000
χ6744-4-4-2-2-44-22-22221-44-1-112-22-20002i3−2i302-22-2-11−2i32i300i3i3−i3−i300000000000000−i3i3-110000000000000000000000
χ684-44-44400-44-4-44-44004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ694-44-44400-44-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ704-4-444400-4-4-44-44400-44-400004-400000000000000000000000004-40000000000000000000000000000000
χ714-4-444400-4-4-44-44400-44-40000-440000000000000000000000000-440000000000000000000000000000000
χ724-4-444-200-4-42-224-2002-2200004-40000000000006−66−66−60000000-2200000000000000000000006−60000000
χ734-4-444-200-4-42-224-2002-2200004-4000000000000−66−66−660000000-220000000000000000000000−660000000
χ744-4-444-200-4-42-224-2002-220000-440000000000006−66−66−600000002-20000000000000000000000−660000000
χ754-4-444-200-4-42-224-2002-220000-44000000000000−66−66−6600000002-200000000000000000000006−60000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-44-4444200-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000
χ788-88-88-400-8844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-4-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-444-442002-2-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ818-88-8-4-4004-444-442002-2-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ828-8-88-480044-88-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4200-22-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4200-22-2000000000000000000−26266−66−60000000000000000000000000000000000000000

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