Finite Group Databasebeta

← Group #11896092

Character table — Group #11896092

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212481212121212121212242424242424242444444488881212121212121212121212444441212121212121224242424412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-111-1-11111-1-111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-1-11-1-111-1-1-1-11111111-1-1-111111-1-1-1-1-1-111-11-1-1-1
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
χ5111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-111-1-11111-111111-1-1-1-1-1-11-11-1-1
χ6111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-1111111-1-1-111-1-1-1-11-11-1-1-111-1-1-1-111-11-111
χ7111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-111-111-1-1-1-1-11-1111-1-11111-1-1-1-1-111
χ8111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11111-1-111-1-1-1-111-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-11-1-111-1-1-11-1-111-1-111-1-111-1-11-11
χ11111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1111-1-111-1-11-111-1-111-1-111-1-1-111-11
χ12111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-11111-1-111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-1-1-111111111111-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111-1
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1111-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-111-1
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000002200-2-2000022-2-2-2-2000002200020000000000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-2000000002-200-22000022-2-22200000-2-2000-2000000000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-200000000-22002-20000-2-222-2-200000-2-20002000000000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-200000000-2-200220000-2-222220000022000-20000000000-20000
χ2122222-12222-1-1-12-122-1-1-1-122-12222-1-122-1-122-1-1-1-1-1-102000200220000-1-1-1-1-1-1-100022-1-1-1000000-1-10-1000
χ2222222-12222-1-1-12-122-1-1-1-122-12222-1-122-1-122-1-1-1-1-1-10-2000-200-2-2000011-1-1-1-1-1000-2-21110000001101000
χ2322222-12222-1-1-12-122-1-1-1-122-1-2-222-1-1-2-2-1-1-2-211111102000200-2-20000-1-11-1-1110002-2-1-1-10000001101000
χ2422222-12222-1-1-12-122-1-1-1-122-1-2-222-1-1-2-2-1-1-2-21111110-2000-200220000111-1-111000-22111000000-1-10-1000
χ2522222-12222-1-1-12-1-2-2-1-1-1-122-12-2-2-21122-1-1-2-211111102000200-2-20000-1-1-111-1-1000-22-111000000110-1000
χ2622222-12222-1-1-12-1-2-2-1-1-1-122-12-2-2-21122-1-1-2-21111110-2000-20022000011-111-1-10002-21-1-1000000-1-101000
χ2722222-12222-1-1-12-1-2-2-1-1-1-122-1-22-2-211-2-2-1-122-1-1-1-1-1-102000200220000-1-111111000-2-2-111000000-1-101000
χ2822222-12222-1-1-12-1-2-2-1-1-1-122-1-22-2-211-2-2-1-122-1-1-1-1-1-10-2000-200-2-200001111111000221-1-1000000110-1000
χ292222-1222-1-1222-1-122-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-12022202200-1-1-1-1002-1-1-1-100200000-1-1-1-1-1-10000000
χ302222-1222-1-1222-1-122-1-1-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-20-2-2-20-2-2001111002-1-1-1-100-2000001111110000000
χ312222-1222-1-1222-1-122-1-1-12-1-12-2-2-1-12211-1-111-2-2111120-2-220-2-200-1-1-1-100-2-1-11100200000-1-111110000000
χ322222-1222-1-1222-1-122-1-1-12-1-12-2-2-1-12211-1-111-2-21111-2022-202200111100-2-1-11100-20000011-1-1-1-10000000
χ332222-1222-1-1222-1-1-2-2-1-1-12-1-122-211-2-2-1-1-1-111-2-21111202220-2-200-1-1-1-100211-1-100-20000011-1-1110000000
χ342222-1222-1-1222-1-1-2-2-1-1-12-1-122-211-2-2-1-1-1-111-2-21111-20-2-2-202200111100211-1-100200000-1-111-1-10000000
χ352222-1222-1-1222-1-1-2-2-1-1-12-1-12-2211-2-211-1-1-1-122-1-1-1-120-2-2202200-1-1-1-100-2111100-2000001111-1-10000000
χ362222-1222-1-1222-1-1-2-2-1-1-12-1-12-2211-2-211-1-1-1-122-1-1-1-1-2022-20-2-200111100-2111100200000-1-1-1-1110000000
χ372-22-222-22-2-2-22-2222i−2i2-2-2-22-22002i−2i2i−2i00-2200000000002-2002i−2i0000000002i−2i0000000000002-22i−2i0000000
χ382-22-222-22-2-2-22-2222i−2i2-2-2-22-22002i−2i2i−2i00-220000000000-2200−2i2i0000000002i−2i000000000000-22−2i2i0000000
χ392-22-222-22-2-2-22-222−2i2i2-2-2-22-2200−2i2i−2i2i00-2200000000002-200−2i2i000000000−2i2i0000000000002-2−2i2i0000000
χ402-22-222-22-2-2-22-222−2i2i2-2-2-22-2200−2i2i−2i2i00-220000000000-22002i−2i000000000−2i2i000000000000-222i−2i0000000
χ412-22-2-12-2211-22-2-1-12i−2i-111-2-11200−ii2i−2i3−31-1−i3i300−i3−i3i3i3002-2002i−2i003−33−3000−ii3−300000000−i3i3-11−ii0000000
χ422-22-2-12-2211-22-2-1-12i−2i-111-2-11200−ii2i−2i3−31-1−i3i300−i3−i3i3i300-2200−2i2i00−33−33000−ii3−300000000i3−i31-1i−i0000000
χ432-22-2-12-2211-22-2-1-12i−2i-111-2-11200−ii2i−2i−331-1i3−i300i3i3−i3−i3002-2002i−2i00−33−33000−ii−3300000000i3−i3-11−ii0000000
χ442-22-2-12-2211-22-2-1-12i−2i-111-2-11200−ii2i−2i−331-1i3−i300i3i3−i3−i300-2200−2i2i003−33−3000−ii−3300000000−i3i31-1i−i0000000
χ452-22-2-12-2211-22-2-1-1−2i2i-111-2-11200i−i−2i2i3−31-1i3−i300i3i3−i3−i3002-200−2i2i003−33−3000i−i3−300000000i3−i3-11i−i0000000
χ462-22-2-12-2211-22-2-1-1−2i2i-111-2-11200i−i−2i2i3−31-1i3−i300i3i3−i3−i300-22002i−2i00−33−33000i−i3−300000000−i3i31-1−ii0000000
χ472-22-2-12-2211-22-2-1-1−2i2i-111-2-11200i−i−2i2i−331-1−i3i300−i3−i3i3i3002-200−2i2i00−33−33000i−i−3300000000−i3i3-11i−i0000000
χ482-22-2-12-2211-22-2-1-1−2i2i-111-2-11200i−i−2i2i−331-1−i3i300−i3−i3i3i300-22002i−2i003−33−3000i−i−3300000000i3−i31-1−ii0000000
χ4944444-2-4-444-2-2-24-200-2-2-22-4-4200000000220000000004000-400000000220000000000-2000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-22-4-420000000022000000000-4000400000000-2-200000000002000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2-422-40000000022000000004000-400000-2-2220000000000000000000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2-422-4000000002200000000-400040000022-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-222112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222-2-2112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-44-4-4-4400-44-400000000000000000000000000000000000000000004-40000000000000000000
χ5844-4-444004-44-4-4-4400-44-40000000000000000000000000000000000000000000-440000000000000000000
χ594-44-4444-4-4-4-44-444004-4-44-44-4000000004-400000000000000000000000000000000000000000000000000
χ604-44-44-24-4-4-42-224-200-222-2-44200000000-2200000000000000000000000000000000000−2i32i30000000000000
χ614-44-44-24-4-4-42-224-200-222-2-44200000000-22000000000000000000000000000000000002i3−2i30000000000000
χ624-44-44-2-44-4-42-224-24i−4i-22224-4-2004i−4i−2i2i002-20000000000000000000000000−2i2i00000000000000000000000
χ634-44-44-2-44-4-42-224-2−4i4i-22224-4-200−4i4i2i−2i002-200000000000000000000000002i−2i00000000000000000000000
χ644-44-4-244-422-44-4-2-200-22242-2-400000000-2200000000000000000023−23−23230000000000000000000000000000
χ654-44-4-244-422-44-4-2-200-22242-2-400000000-22000000000000000000−232323−230000000000000000000000000000
χ664-44-4-2-2-44222-22-214i−4i1-1-12-22-200−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ674-44-4-2-2-44222-22-214i−4i1-1-12-22-200−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ684-44-4-2-2-44222-22-21−4i4i1-1-12-22-2002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ694-44-4-2-2-44222-22-21−4i4i1-1-12-22-2002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ704-4-444400-44-4-44-4400-4-44000000000000000000000000000000−2i22i20000000000000000000000000−2i22i200000
χ714-4-444400-44-4-44-4400-4-440000000000000000000000000000002i2−2i200000000000000000000000002i2−2i200000
χ724-4-444-200-4422-2-4-20022-200000000000000006−66−66−600000000−2i22i20000−2i32i30000000000000000000i2−i200000
χ734-4-444-200-4422-2-4-20022-200000000000000006−66−66−6000000002i2−2i200002i3−2i30000000000000000000−i2i200000
χ744-4-444-200-4422-2-4-20022-20000000000000000−66−66−6600000000−2i22i200002i3−2i30000000000000000000i2−i200000
χ754-4-444-200-4422-2-4-20022-20000000000000000−66−66−66000000002i2−2i20000−2i32i30000000000000000000−i2i200000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-4008-8-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4800-448-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-4444200-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-44-4444200-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ818-88-8-4-48-8444-44-42002-2-2-44-44000000002-200000000000000000000000000000000000000000000000000
χ828-8-88-48004-4-8-884-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-44200-2-22000000000000000026−26−66−66000000000000000000000000000000000000000000
χ848-8-88-4-4004-444-44200-2-220000000000000000−26266−66−6000000000000000000000000000000000000000000

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