Finite Group Databasebeta

← Group #11791501

Character table — Group #11791501

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11111111444444444444444444888888881212121212121212181818181818181824242424242424242424242424242424242424243636363636363636
order12222222334466666666666666121212121212121244444444444444442244666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-1-11-1-111111-111-1-11-1-1-1-111-1-111111-1-1-1-1ii−i−iii−i−i11-1-111-1-11-11-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ101-1-11-1-111111-111-1-11-1-1-1-111-1-111111-1-1-1-1ii−i−iii−i−i11-1-111-1-1-11-11-1-111ii−i−iii−i−i-1-111−i−iii−i−iii
χ111-1-11-1-111111-111-1-11-1-1-1-111-1-111111-1-1-1-1−i−iii−i−iii11-1-111-1-11-11-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ121-1-11-1-111111-111-1-11-1-1-1-111-1-111111-1-1-1-1−i−iii−i−iii11-1-111-1-1-11-11-1-111−i−iii−i−iii-1-111ii−i−iii−i−i
χ131-1-11-1-11111-1111-1-11-1-1-1-111-1-11-1-1-1-11111ii−i−i−i−iii-1-11111-1-11-1-1111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii
χ141-1-11-1-11111-1111-1-11-1-1-1-111-1-11-1-1-1-11111ii−i−i−i−iii-1-11111-1-1-111-1-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i
χ151-1-11-1-11111-1111-1-11-1-1-1-111-1-11-1-1-1-11111−i−iiiii−i−i-1-11111-1-11-1-1111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i
χ161-1-11-1-11111-1111-1-11-1-1-1-111-1-11-1-1-1-11111−i−iiiii−i−i-1-11111-1-1-111-1-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ17222222222222222222222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000
χ1922-222-2-2-22200-2-22-2-222-2-2222-2-200000000000000002i−2i2i−2i0000000000000000000000002−22−2−i2i2−i2i2
χ2022-222-2-2-22200-2-22-2-222-2-2222-2-200000000000000002i−2i2i−2i000000000000000000000000−22−22i2−i2i2−i2
χ2122-222-2-2-22200-2-22-2-222-2-2222-2-20000000000000000−2i2i−2i2i0000000000000000000000002−22−2i2−i2i2−i2
χ2222-222-2-2-22200-2-22-2-222-2-2222-2-20000000000000000−2i2i−2i2i000000000000000000000000−22−22−i2i2−i2i2
χ2322-2-2-22-2222002-22-2-22-22-2-2-2-2220000000000002-22-200002-2-220000000000002-22-2000000000000
χ2422-2-2-22-2222002-22-2-22-22-2-2-2-222000000000000-22-2200002-2-22000000000000-22-22000000000000
χ2522-2-2-22-2222002-22-2-22-22-2-2-2-222000000002i−2i2i−2i00000000-222-2000000002i−2i2i−2i0000000000000000
χ2622-2-2-22-2222002-22-2-22-22-2-2-2-22200000000−2i2i−2i2i00000000-222-200000000−2i2i−2i2i0000000000000000
χ272-222-22-2-22200-2-2-22-2-2-22222-22-200000000000000002i−2i−2i2i000000000000000000000000−i2i2i2−i2−222−2
χ282-222-22-2-22200-2-2-22-2-2-22222-22-200000000000000002i−2i−2i2i000000000000000000000000i2−i2−i2i22−2−22
χ292-222-22-2-22200-2-2-22-2-2-22222-22-20000000000000000−2i2i2i−2i000000000000000000000000−i2i2i2−i22−2−22
χ302-222-22-2-22200-2-2-22-2-2-22222-22-20000000000000000−2i2i2i−2i000000000000000000000000i2−i2−i2i2−222−2
χ312-22-22-2-2222002-2-22-2-22-22-2-22-220000000000002i−2i−2i2i00002-22-20000000000002i−2i−2i2i000000000000
χ322-22-22-2-2222002-2-22-2-22-22-2-22-22000000000000−2i2i2i−2i00002-22-2000000000000−2i2i2i−2i000000000000
χ332-22-22-2-2222002-2-22-2-22-22-2-22-22000000002-2-2200000000-22-22000000002-2-220000000000000000
χ342-22-22-2-2222002-2-22-2-22-22-2-22-2200000000-222-200000000-22-2200000000-222-20000000000000000
χ352-2-22-2-222222-222-2-22-2-2-2-222-2-222222-2-2-2-200000000-2-222-2-2220000000000000000000000000000
χ362-2-22-2-22222-2222-2-22-2-2-2-222-2-22-2-2-2-222220000000022-2-2-2-2220000000000000000000000000000
χ37444444441-2441111-2-2-2-2-21-211-211-2-211-2-2222222220000000000000000-1-1-1-1-1-1-1-1000000000000
χ38444444441-2441111-2-2-2-2-21-211-211-2-211-2-2-2-2-2-2-2-2-2-2000000000000000011111111000000000000
χ39444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-1222222-2-2-2-20000000000000000-1-1-1-11111000000000000
χ40444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-122-2-2-2-2222200000000000000001111-1-1-1-1000000000000
χ4144444444-2144-2-2-2-211111-21-2-21-2-211-2-21100000000000000002222-1-1-1-100000000-1-1-1-100000000
χ4244444444-2144-2-2-2-211111-21-2-21-2-211-2-2110000000000000000-2-2-2-2111100000000111100000000
χ4344444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-1000000000000000022-2-2-1-1-1-100000000111100000000
χ4444444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-10000000000000000-2-222111100000000-1-1-1-100000000
χ45444-4-4-44-44400-444444-4-44-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ46444-4-4-44-4-21002-2-2-211-1-112-122-1003i−3i003i−3i00000000000000000000−i3i3−i3i3000000003−33−300000000
χ47444-4-4-44-4-21002-2-2-211-1-112-122-1003i−3i003i−3i00000000000000000000i3−i3i3−i300000000−33−3300000000
χ48444-4-4-44-4-21002-2-2-211-1-112-122-100−3i3i00−3i3i00000000000000000000−i3i3−i3i300000000−33−3300000000
χ49444-4-4-44-4-21002-2-2-211-1-112-122-100−3i3i00−3i3i00000000000000000000i3−i3i3−i3000000003−33−300000000
χ5044-4-4-44-441-2001-11-12-22-22-12-11-23i−3i003i−3i002i−2i2i−2i2-22-20000000000000000−ii−ii-11-11000000000000
χ5144-4-4-44-441-2001-11-12-22-22-12-11-23i−3i003i−3i00−2i2i−2i2i-22-220000000000000000i−ii−i1-11-1000000000000
χ5244-4-4-44-441-2001-11-12-22-22-12-11-2−3i3i00−3i3i002i−2i2i−2i-22-220000000000000000−ii−ii1-11-1000000000000
χ5344-4-4-44-441-2001-11-12-22-22-12-11-2−3i3i00−3i3i00−2i2i−2i2i2-22-20000000000000000i−ii−i-11-11000000000000
χ544-44-44-4-441-2001-1-1122-22-2-121-1-23i−3i00−3i3i002-2-22−2i2i2i−2i0000000000000000-111-1i−i−ii000000000000
χ554-44-44-4-441-2001-1-1122-22-2-121-1-23i−3i00−3i3i00-222-22i−2i−2i2i00000000000000001-1-11−iii−i000000000000
χ564-44-44-4-441-2001-1-1122-22-2-121-1-2−3i3i003i−3i002-2-222i−2i−2i2i0000000000000000-111-1−iii−i000000000000
χ574-44-44-4-441-2001-1-1122-22-2-121-1-2−3i3i003i−3i00-222-2−2i2i2i−2i00000000000000001-1-11i−i−ii000000000000
χ584-4-44-4-4441-24-411-1-1-222221-2-1-1-211-2-2-1-1222i2i−2i−2i2i2i−2i−2i0000000000000000−i−iii−i−iii000000000000
χ594-4-44-4-4441-24-411-1-1-222221-2-1-1-211-2-2-1-122−2i−2i2i2i−2i−2i2i2i0000000000000000ii−i−iii−i−i000000000000
χ604-4-44-4-4441-2-4411-1-1-222221-2-1-1-2-1-12211-2-22i2i−2i−2i−2i−2i2i2i0000000000000000−i−iiiii−i−i000000000000
χ614-4-44-4-4441-2-4411-1-1-222221-2-1-1-2-1-12211-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000ii−i−i−i−iii000000000000
χ624-4-44-4-444-214-4-2-2221-1-1-1-1-21221-2-21122-1-100000000000000002-22-2-1-11100000000-1-11100000000
χ634-4-44-4-444-214-4-2-2221-1-1-1-1-21221-2-21122-1-10000000000000000-22-2211-1-10000000011-1-100000000
χ644-4-44-4-444-21-44-2-2221-1-1-1-1-2122122-1-1-2-21100000000000000002-2-22-1-1110000000011-1-100000000
χ654-4-44-4-444-21-44-2-2221-1-1-1-1-2122122-1-1-2-2110000000000000000-222-211-1-100000000-1-11100000000
χ664-4-4-4444-44400-44-4-44-444-4-4-444-40000000000000000000000000000000000000000000000000000
χ674-4-4-4444-4-21002-2221-111-12-1-2-2-1003i−3i00−3i3i00000000000000000000−i3i3i3−i3000000003−3−3300000000
χ684-4-4-4444-4-21002-2221-111-12-1-2-2-1003i−3i00−3i3i00000000000000000000i3−i3−i3i300000000−333−300000000
χ694-4-4-4444-4-21002-2221-111-12-1-2-2-100−3i3i003i−3i00000000000000000000−i3i3i3−i300000000−333−300000000
χ704-4-4-4444-4-21002-2221-111-12-1-2-2-100−3i3i003i−3i00000000000000000000i3−i3−i3i3000000003−3−3300000000
χ71888-8-8-88-82-400-2222-4-444-4-24-2-240000000000000000000000000000000000000000000000000000
χ7288-888-8-8-82-400-2-22-24-4-4442-42-240000000000000000000000000000000000000000000000000000
χ7388-888-8-8-8-420044-44-222-2-2-42-44-20000000000000000000000000000000000000000000000000000
χ7488-8-8-88-88-4200-44-44-22-22-24-24-420000000000000000000000000000000000000000000000000000
χ758-888-88-8-82-400-2-2-22444-4-42-4-2240000000000000000000000000000000000000000000000000000
χ768-888-88-8-8-4200444-4-2-2-222-424-4-20000000000000000000000000000000000000000000000000000
χ778-88-88-8-88-4200-444-4-2-22-224-2-4420000000000000000000000000000000000000000000000000000
χ788-8-8-8888-82-400-22-2-2-44-4-44-242240000000000000000000000000000000000000000000000000000

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