Finite Group Databasebeta

← Group #11895959

Character table — Group #11895959

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212266812121212121224242424242424244444448888121212121212666121244244121212121212122424242446248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-111-1-11111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-111111-1-11-11111-1-1-1-1-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11-11
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111111-11-1
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-111111-1-111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-1-1-111-1-111-111-11
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1111-1-11-1-111-1-1-1-1-1-1111-1-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-11-11111-1-1-1-111-1-1-111
χ11111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-111-11-1-1-1-11111-1-1-11-111
χ12111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-111-111-1-11111111-11-1-1
χ13111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1
χ14111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-200000000002-22-200002222-2-20000022000-20000000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-22000022-2-2-2-200000-2-20002000000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-20000-2-2222200000-2-2000-2000000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-22-220000-2-2-2-222000002200020000000000-20000
χ2122222-12222-1-1-12-122-1-1-1-122-1222222-1-1-1-122-1-1-1-1-1-1000022002200-1-100-1-1-1-1-100202-1-1-1000000-1-10-1000
χ2222222-12222-1-1-12-122-1-1-1-122-1222222-1-1-1-122-1-1-1-1-1-10000-2-200-2-2001100-1-1-1-1-100-20-21110000001101000
χ2322222-12222-1-1-12-122-1-1-1-122-1-2-2-2-222-1-1-1-1-2-211111100002200-2-200-1-100111-1-100-202-1-1-10000001101000
χ2422222-12222-1-1-12-122-1-1-1-122-1-2-2-2-222-1-1-1-1-2-21111110000-2-20022001100111-1-10020-2111000000-1-10-1000
χ2522222-12222-1-1-12-1-2-2-1-1-1-122-1222-2-2-211-1-1-2-211111100002200-2-200-1-100-1-1-1110020-2-111000000110-1000
χ2622222-12222-1-1-12-1-2-2-1-1-1-122-1222-2-2-211-1-1-2-21111110000-2-20022001100-1-1-11100-2021-1-1000000-1-101000
χ2722222-12222-1-1-12-1-2-2-1-1-1-122-1-2-2-22-2-211-1-122-1-1-1-1-1-1000022002200-1-1001111100-20-2-111000000-1-101000
χ2822222-12222-1-1-12-1-2-2-1-1-1-122-1-2-2-22-2-211-1-122-1-1-1-1-1-10000-2-200-2-200110011111002021-1-1000000110-1000
χ292222-1222-1-1222-1-122-1-1-12-1-122-1-12-1-122-1-1-1-122-1-1-1-12222002200-1-100-1-12-1-1-1-100020000-1-1-1-1-1-10000000
χ302222-1222-1-1222-1-122-1-1-12-1-122-1-12-1-122-1-1-1-122-1-1-1-1-2-2-2-200-2-2001100112-1-1-1-1000-200001111110000000
χ312222-1222-1-1222-1-122-1-1-12-1-12-211-2-1-122-1-111-2-2111122-2-2002200110011-211-1-1000-20000-1-111-1-10000000
χ322222-1222-1-1222-1-122-1-1-12-1-12-211-2-1-122-1-111-2-21111-2-22200-2-200-1-100-1-1-211-1-10002000011-1-1110000000
χ332222-1222-1-1222-1-1-2-2-1-1-12-1-122-1-1-211-2-2-1-111-2-21111222200-2-200-1-100-1-12-1-111000-20000-1-111110000000
χ342222-1222-1-1222-1-1-2-2-1-1-12-1-122-1-1-211-2-2-1-111-2-21111-2-2-2-20022001100112-1-1110002000011-1-1-1-10000000
χ352222-1222-1-1222-1-1-2-2-1-1-12-1-12-211211-2-2-1-1-1-122-1-1-1-122-2-200-2-200110011-2111100020000-1-1-1-1110000000
χ362222-1222-1-1222-1-1-2-2-1-1-12-1-12-211211-2-2-1-1-1-122-1-1-1-1-2-222002200-1-100-1-1-21111000-200001111-1-10000000
χ3722-2-222-222-22-2-2-222-2-2-22-22-2200002-22-2-22000000002i−2i00002i−2i000000000002-2000000002i−2i002i−2i0000000
χ3822-2-222-222-22-2-2-222-2-2-22-22-2200002-22-2-2200000000−2i2i0000−2i2i000000000002-200000000−2i2i00−2i2i0000000
χ3922-2-222-222-22-2-2-22-22-2-22-22-220000-22-22-22000000002i−2i0000−2i2i00000000000-22000000002i−2i00−2i2i0000000
χ4022-2-222-222-22-2-2-22-22-2-22-22-220000-22-22-2200000000−2i2i00002i−2i00000000000-2200000000−2i2i002i−2i0000000
χ4122-2-2-12-22-112-2-21-12-211-1-2-1120−i3i30-112-21-1−i3i300−i3−i3i3i32i−2i00002i−2i003−3003−30−i3i3-1100000000−ii3−3−ii0000000
χ4222-2-2-12-22-112-2-21-12-211-1-2-1120−i3i30-112-21-1−i3i300−i3−i3i3i3−2i2i0000−2i2i00−3300−330−i3i3-1100000000i−i−33i−i0000000
χ4322-2-2-12-22-112-2-21-12-211-1-2-1120i3−i30-112-21-1i3−i300i3i3−i3−i32i−2i00002i−2i00−3300−330i3−i3-1100000000−ii−33−ii0000000
χ4422-2-2-12-22-112-2-21-12-211-1-2-1120i3−i30-112-21-1i3−i300i3i3−i3−i3−2i2i0000−2i2i003−3003−30i3−i3-1100000000i−i3−3i−i0000000
χ4522-2-2-12-22-112-2-21-1-2211-1-2-1120−i3i301-1-221-1i3−i300i3i3−i3−i32i−2i0000−2i2i003−3003−30−i3i31-100000000−ii−33i−i0000000
χ4622-2-2-12-22-112-2-21-1-2211-1-2-1120−i3i301-1-221-1i3−i300i3i3−i3−i3−2i2i00002i−2i00−3300−330−i3i31-100000000i−i3−3−ii0000000
χ4722-2-2-12-22-112-2-21-1-2211-1-2-1120i3−i301-1-221-1−i3i300−i3−i3i3i32i−2i0000−2i2i00−3300−330i3−i31-100000000−ii3−3i−i0000000
χ4822-2-2-12-22-112-2-21-1-2211-1-2-1120i3−i301-1-221-1−i3i300−i3−i3i3i3−2i2i00002i−2i003−3003−30i3−i31-100000000i−i−33−ii0000000
χ4944444-2-4-444-2-2-24-200-2-2-22-4-4200000000220000000000004-4000000-2-20000000000002000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-22-4-420000000022000000000000-4400000022000000000000-2000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2-422-4000000002200000000004-4000000-2-2002200000000000000000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2-422-400000000220000000000-440000002200-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-24-2-24-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-422-4-2-2-2-2112222-1-1-1-100000000000000002-1-111000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-2-2-42222112222-1-1-1-10000000000000000-211-1-1000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4224222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-4444-44-44-4-4-4400-4-444-44-4000000004-400000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-4-222-4-20022-2-2-44200000000-220000000000000000000000000000000000023−230000000000000
χ5944-4-44-24-44-4-222-4-20022-2-2-44200000000-2200000000000000000000000000000000000−23230000000000000
χ6044-4-44-2-444-4-222-4-24-422-224-4-200004-4-222-2000000000000000000000000000-22000000000000000000000
χ6144-4-44-2-444-4-222-4-2-4422-224-4-20000-442-22-20000000000000000000000000002-2000000000000000000000
χ6244-4-4-244-4-224-4-42-20022-242-2-400000000-2200000000000000000023−2300−232300000000000000000000000000
χ6344-4-4-244-4-224-4-42-20022-242-2-400000000-22000000000000000000−23230023−2300000000000000000000000000
χ6444-4-4-2-2-44-22-222214-4-1-112-22-20−2i32i30-22-22-11−2i32i300i3i3−i3−i300000000000000000i3−i31-1000000000000000000000
χ6544-4-4-2-2-44-22-222214-4-1-112-22-202i3−2i30-22-22-112i3−2i300−i3−i3i3i300000000000000000−i3i31-1000000000000000000000
χ6644-4-4-2-2-44-22-22221-44-1-112-22-20−2i32i302-22-2-112i3−2i300−i3−i3i3i300000000000000000i3−i3-11000000000000000000000
χ6744-4-4-2-2-44-22-22221-44-1-112-22-202i3−2i302-22-2-11−2i32i300i3i3−i3−i300000000000000000−i3i3-11000000000000000000000
χ684-44-44400-44-44-4-44004-4-4000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ694-44-44400-44-44-4-44004-4-40000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ704-44-44-200-442-22-4-200-22200000000000000006−66−66−600000000−2i22i200−2i32i3000000000000000000000i2−i200000
χ714-44-44-200-442-22-4-200-22200000000000000006−66−66−6000000002i2−2i2002i3−2i3000000000000000000000−i2i200000
χ724-44-44-200-442-22-4-200-2220000000000000000−66−66−6600000000−2i22i2002i3−2i3000000000000000000000i2−i200000
χ734-44-44-200-442-22-4-200-2220000000000000000−66−66−66000000002i2−2i200−2i32i3000000000000000000000−i2i200000
χ744-4-444400-4-4-4-444400-44-400000000000000000000000000000000000000000004-40000000000000000000
χ754-4-444400-4-4-4-444400-44-40000000000000000000000000000000000000000000-440000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-44-4444200-2-22-44-44000000002-200000000000000000000000000000000000000000000000000
χ788-88-8-48004-4-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-4442002-2-2000000000000000026−26−66−66000000000000000000000000000000000000000000
χ808-88-8-4-4004-44-4442002-2-20000000000000000−26266−66−6000000000000000000000000000000000000000000
χ818-8-888-400-8-844-48-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-480044-8-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-4200-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-4200-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000

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