Finite Group Databasebeta

← Group #11773334

Character table — Group #11773334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111144444444444444444444448888888888888888888888889999999936363636363636363636363636363636363636363636
order1222222222334444666666666666666666666612121212121212121212121212121212222222222244444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222-2-2-2-20022002i−2i222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i22-2-222-2-200002i−2i0000000000000000
χ182222-2-2-2-20022002i−2i222222-2-2-2-2-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i-2-222-2-2220000−2i2i0000000000000000
χ192222-2-2-2-2002200−2i2i222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i22-2-222-2-20000−2i2i0000000000000000
χ202222-2-2-2-2002200−2i2i222222-2-2-2-2-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i-2-222-2-22200002i−2i0000000000000000
χ2122-2-222-2-200222i−2i0022-2-2-2-22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i000000002-22-22-22-2002i−2i000000000000000000
χ2222-2-222-2-200222i−2i0022-2-2-2-22222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i00000000-22-22-22-2200−2i2i000000000000000000
χ2322-2-222-2-20022−2i2i0022-2-2-2-22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i000000002-22-22-22-200−2i2i000000000000000000
χ2422-2-222-2-20022−2i2i0022-2-2-2-22222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00000000-22-22-22-22002i−2i000000000000000000
χ2522-2-2-2-2222-222000022-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000002-2-222-2-222-200000000000000000000
χ2622-2-2-2-2222-222000022-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000-222-2-222-2-2200000000000000000000
χ2722-2-2-2-222-2222000022-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000002-2-222-2-22-2200000000000000000000
χ2822-2-2-2-222-2222000022-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-222-2-222-22-200000000000000000000
χ292-22-22-22-200220000-2-222-2-222-2-222-2-2000000000000000000000000222-2-2-2-2200000000002i−2i0000002i−2i00
χ302-22-22-22-200220000-2-222-2-222-2-222-2-2000000000000000000000000222-2-2-2-220000000000−2i2i000000−2i2i00
χ312-22-22-22-200220000-2-222-2-222-2-222-2-2000000000000000000000000-2-2-22222-200000000002-2000000-2200
χ322-22-22-22-200220000-2-222-2-222-2-222-2-2000000000000000000000000-2-2-22222-20000000000-220000002-200
χ332-22-2-22-2200220000-2-222-2-2-2-222-2-22200000000000000000000000022-22-2-22-2000000002i−2i0000002i−2i0000
χ342-22-2-22-2200220000-2-222-2-2-2-222-2-22200000000000000000000000022-22-2-22-200000000−2i2i000000−2i2i0000
χ352-22-2-22-2200220000-2-222-2-2-2-222-2-222000000000000000000000000-2-22-222-22000000002-2000000-220000
χ362-22-2-22-2200220000-2-222-2-2-2-222-2-222000000000000000000000000-2-22-222-2200000000-220000002-20000
χ372-2-222-2-2200220000-2-2-2-22222-2-2-2-2220000000000000000000000002-222-22-2-20000002i−2i0000002i−2i000000
χ382-2-222-2-2200220000-2-2-2-22222-2-2-2-2220000000000000000000000002-222-22-2-2000000−2i2i000000−2i2i000000
χ392-2-222-2-2200220000-2-2-2-22222-2-2-2-222000000000000000000000000-22-2-22-2220000002-2000000-22000000
χ402-2-222-2-2200220000-2-2-2-22222-2-2-2-222000000000000000000000000-22-2-22-222000000-220000002-2000000
χ412-2-22-222-200220000-2-2-2-222-2-22222-2-20000000000000000000000002-2-2-2-22220000000000002-20000002-2
χ422-2-22-222-200220000-2-2-2-222-2-22222-2-20000000000000000000000002-2-2-2-2222000000000000-22000000-22
χ432-2-22-222-200220000-2-2-2-222-2-22222-2-2000000000000000000000000-22222-2-2-20000000000002i−2i000000−2i2i
χ442-2-22-222-200220000-2-2-2-222-2-22222-2-2000000000000000000000000-22222-2-2-2000000000000−2i2i0000002i−2i
χ4544444444441-244441-21-21-21-21-21-21-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000000000000000
χ4644444444441-2-4-4-4-41-21-21-21-21-21-21-211-2-211-2-2-1-122-1-122-1-122-1-122000000000000000000000000000000
χ474444444444-214444-21-21-21-21-21-21-21-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000000000000000
χ484444444444-21-4-4-4-4-21-21-21-21-21-21-21-2-211-2-21122-1-122-1-122-1-122-1-1000000000000000000000000000000
χ4944444444-4-41-244-4-41-21-21-21-21-21-21-2-1-122-1-12211-2-211-2-2-1-122-1-122000000000000000000000000000000
χ5044444444-4-41-2-4-4441-21-21-21-21-21-21-2-1-122-1-122-1-122-1-12211-2-211-2-2000000000000000000000000000000
χ5144444444-4-4-2144-4-4-21-21-21-21-21-21-2122-1-122-1-1-2-211-2-21122-1-122-1-1000000000000000000000000000000
χ5244444444-4-4-21-4-444-21-21-21-21-21-21-2122-1-122-1-122-1-122-1-1-2-211-2-211000000000000000000000000000000
χ534444-4-4-4-4001-2004i−4i1-21-21-2-12-12-12-123-3003-3003i−3i003i−3i00ii−2i−2i−i−i2i2i000000000000000000000000000000
χ544444-4-4-4-4001-2004i−4i1-21-21-2-12-12-12-12-3300-3300−3i3i00−3i3i00ii−2i−2i−i−i2i2i000000000000000000000000000000
χ554444-4-4-4-4001-200−4i4i1-21-21-2-12-12-12-123-3003-300−3i3i00−3i3i00−i−i2i2iii−2i−2i000000000000000000000000000000
χ564444-4-4-4-4001-200−4i4i1-21-21-2-12-12-12-12-3300-33003i−3i003i−3i00−i−i2i2iii−2i−2i000000000000000000000000000000
χ574444-4-4-4-400-21004i−4i-21-21-212-12-12-12-1003-3003-3003i−3i003i−3i−2i−2iii2i2i−i−i000000000000000000000000000000
χ584444-4-4-4-400-21004i−4i-21-21-212-12-12-12-100-3300-3300−3i3i00−3i3i−2i−2iii2i2i−i−i000000000000000000000000000000
χ594444-4-4-4-400-2100−4i4i-21-21-212-12-12-12-1003-3003-300−3i3i00−3i3i2i2i−i−i−2i−2iii000000000000000000000000000000
χ604444-4-4-4-400-2100−4i4i-21-21-212-12-12-12-100-3300-33003i−3i003i−3i2i2i−i−i−2i−2iii000000000000000000000000000000
χ6144-4-444-4-4001-24i−4i001-2-12-121-21-2-12-123-300-3300ii−2i−2i−i−i2i2i3i−3i003i−3i00000000000000000000000000000000
χ6244-4-444-4-4001-24i−4i001-2-12-121-21-2-12-12-33003-300ii−2i−2i−i−i2i2i−3i3i00−3i3i00000000000000000000000000000000
χ6344-4-444-4-4001-2−4i4i001-2-12-121-21-2-12-123-300-3300−i−i2i2iii−2i−2i−3i3i00−3i3i00000000000000000000000000000000
χ6444-4-444-4-4001-2−4i4i001-2-12-121-21-2-12-12-33003-300−i−i2i2iii−2i−2i3i−3i003i−3i00000000000000000000000000000000
χ6544-4-444-4-400-214i−4i00-212-12-1-21-212-12-1003-300-33−2i−2iii2i2i−i−i003i−3i003i−3i000000000000000000000000000000
χ6644-4-444-4-400-214i−4i00-212-12-1-21-212-12-100-33003-3−2i−2iii2i2i−i−i00−3i3i00−3i3i000000000000000000000000000000
χ6744-4-444-4-400-21−4i4i00-212-12-1-21-212-12-1003-300-332i2i−i−i−2i−2iii00−3i3i00−3i3i000000000000000000000000000000
χ6844-4-444-4-400-21−4i4i00-212-12-1-21-212-12-100-33003-32i2i−i−i−2i−2iii003i−3i003i−3i000000000000000000000000000000
χ6944-4-4-4-4444-41-200001-2-12-12-12-121-21-211-2-2-1-1223-300-33003-300-3300000000000000000000000000000000
χ7044-4-4-4-4444-41-200001-2-12-12-12-121-21-211-2-2-1-122-33003-300-33003-300000000000000000000000000000000
χ7144-4-4-4-4444-4-210000-212-12-12-12-1-21-21-2-21122-1-1003-300-33003-300-33000000000000000000000000000000
χ7244-4-4-4-4444-4-210000-212-12-12-12-1-21-21-2-21122-1-100-33003-300-33003-3000000000000000000000000000000
χ7344-4-4-4-444-441-200001-2-12-12-12-121-21-2-1-12211-2-23-300-3300-33003-300000000000000000000000000000000
χ7444-4-4-4-444-441-200001-2-12-12-12-121-21-2-1-12211-2-2-33003-3003-300-3300000000000000000000000000000000
χ7544-4-4-4-444-44-210000-212-12-12-12-1-21-2122-1-1-2-211003-300-3300-33003-3000000000000000000000000000000
χ7644-4-4-4-444-44-210000-212-12-12-12-1-21-2122-1-1-2-21100-33003-3003-300-33000000000000000000000000000000
χ778-88-88-88-8002-40000-242-4-242-4-242-4-24000000000000000000000000000000000000000000000000000000
χ788-88-88-88-800-4200004-2-424-2-424-2-424-2000000000000000000000000000000000000000000000000000000
χ798-88-8-88-88002-40000-242-4-24-242-4-242-4000000000000000000000000000000000000000000000000000000
χ808-88-8-88-8800-4200004-2-424-24-2-424-2-42000000000000000000000000000000000000000000000000000000
χ818-8-888-8-88002-40000-24-242-42-4-24-242-4000000000000000000000000000000000000000000000000000000
χ828-8-888-8-8800-4200004-24-2-42-424-24-2-42000000000000000000000000000000000000000000000000000000
χ838-8-88-888-8002-40000-24-242-4-242-42-4-24000000000000000000000000000000000000000000000000000000
χ848-8-88-888-800-4200004-24-2-424-2-42-424-2000000000000000000000000000000000000000000000000000000

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