Finite Group Databasebeta

← Group #11895789

Character table — Group #11895789

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212481212121212121212242424242424242422444488881212121212121212121212442246666661224242424412248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-111-1-11111-1-111111-1-11-1-1-1-11111-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-11-11-1-111-1-1-1-11111111-1-1-11111-1-1-1-11-1-111-11-1-1-1
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
χ5111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-11-1111-1-1-1-1-1-111-111-1-1-1-1-11-11111-1-1111-1-1-1-1-111
χ6111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-11-1-111-1-1-11111111-1-1
χ7111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11111-111-1-1111-1-1-1-11-11-1-1
χ8111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-111-1-1-1-11-11-1-1-1-111-1-1-111-11-111
χ9111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11111-1-11-1-111-1-11-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-11-1-111-1-1-11-11111-1-1-1-1-111-1-11-11
χ11111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111-1-111-1-11-11-1-1-1-111111-1-1-111-11
χ12111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1111111-111-1-111-111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-2000022-2-2220000022000000000-20000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-2-22000022-2-2-2-200000-2-20000000002000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-222-20000-2-2222200000-2-2000000000-2000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-2220000-2-222-2-2000002200000000020000-20000
χ2122222-1222-12-1-12-122-1-1-12-1-1222-1-1-1-122-1-1-1-122-1-1-1-12220202200-1-1-1-1002-1-1-1-10020000-1-1-1-10-1-10000000
χ2222222-1222-12-1-12-122-1-1-12-1-1222-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20-20-2-2001111002-1-1-1-100-2000011110110000000
χ2322222-1222-12-1-12-122-1-1-12-1-12-2-2-1-11122-1-111-2-2111122-20-202200111100-2-1-11100-20000-1-1110-1-10000000
χ2422222-1222-12-1-12-122-1-1-12-1-12-2-2-1-11122-1-111-2-21111-2-22020-2-200-1-1-1-100-2-1-111002000011-1-10110000000
χ2522222-1222-12-1-12-1-2-2-1-1-12-1-122-211-1-1-2-2-1-111-2-21111222020-2-200-1-1-1-100211-1-100-20000-1-1110110000000
χ2622222-1222-12-1-12-1-2-2-1-1-12-1-122-211-1-1-2-2-1-111-2-21111-2-2-20-202200111100211-1-1002000011-1-10-1-10000000
χ2722222-1222-12-1-12-1-2-2-1-1-12-1-12-221111-2-2-1-1-1-122-1-1-1-122-20-20-2-200111100-211110020000-1-1-1-10110000000
χ2822222-1222-12-1-12-1-2-2-1-1-12-1-12-221111-2-2-1-1-1-122-1-1-1-1-2-220202200-1-1-1-100-2111100-2000011110-1-10000000
χ292222-1222-12-122-1-122-1-1-1-122-1222222-1-1-1-122-1-1-1-1-1-100020200220000-1-1-1-1-1-1-100022-1-10000-100-1-10-1000
χ302222-1222-12-122-1-122-1-1-1-122-1222222-1-1-1-122-1-1-1-1-1-1000-20-200-2-2000011-1-1-1-1-1000-2-21100001001101000
χ312222-1222-12-122-1-122-1-1-1-122-1-2-222-2-2-1-1-1-1-2-211111100020200-2-20000-1-11-1-1110002-2-1-10000-1001101000
χ322222-1222-12-122-1-122-1-1-1-122-1-2-222-2-2-1-1-1-1-2-2111111000-20-200220000111-1-111000-22110000100-1-10-1000
χ332222-1222-12-122-1-1-2-2-1-1-1-122-12-2-2-22211-1-1-2-211111100020200-2-20000-1-1-111-1-1000-22110000-100110-1000
χ342222-1222-12-122-1-1-2-2-1-1-1-122-12-2-2-22211-1-1-2-2111111000-20-20022000011-111-1-10002-2-1-10000100-1-101000
χ352222-1222-12-122-1-1-2-2-1-1-1-122-1-22-2-2-2-211-1-122-1-1-1-1-1-100020200220000-1-111111000-2-2110000-100-1-101000
χ362222-1222-12-122-1-1-2-2-1-1-1-122-1-22-2-2-2-211-1-122-1-1-1-1-1-1000-20-200-2-20000111111100022-1-10000100110-1000
χ3722-2-222-2222-2-2-2-222i−2i2-2-2-22-22002i−2i002i−2i-22000000002-200002i−2i0000000002i−2i0000000002-20002i−2i0000000
χ3822-2-222-2222-2-2-2-222i−2i2-2-2-22-22002i−2i002i−2i-2200000000-220000−2i2i0000000002i−2i000000000-22000−2i2i0000000
χ3922-2-222-2222-2-2-2-22−2i2i2-2-2-22-2200−2i2i00−2i2i-22000000002-20000−2i2i000000000−2i2i0000000002-2000−2i2i0000000
χ4022-2-222-2222-2-2-2-22−2i2i2-2-2-22-2200−2i2i00−2i2i-2200000000-2200002i−2i000000000−2i2i000000000-220002i−2i0000000
χ4122-2-22-1-222-1-211-2-12i−2i-111-2-11200−ii3−32i−2i1-1−i3i300−i3−i3i3i32-200002i−2i003−33−3000−ii3−30000000-11−i3i30−ii0000000
χ4222-2-22-1-222-1-211-2-12i−2i-111-2-11200−ii3−32i−2i1-1−i3i300−i3−i3i3i3-220000−2i2i00−33−33000−ii3−300000001-1i3−i30i−i0000000
χ4322-2-22-1-222-1-211-2-12i−2i-111-2-11200−ii−332i−2i1-1i3−i300i3i3−i3−i32-200002i−2i00−33−33000−ii−330000000-11i3−i30−ii0000000
χ4422-2-22-1-222-1-211-2-12i−2i-111-2-11200−ii−332i−2i1-1i3−i300i3i3−i3−i3-220000−2i2i003−33−3000−ii−3300000001-1−i3i30i−i0000000
χ4522-2-22-1-222-1-211-2-1−2i2i-111-2-11200i−i3−3−2i2i1-1i3−i300i3i3−i3−i32-20000−2i2i003−33−3000i−i3−30000000-11i3−i30i−i0000000
χ4622-2-22-1-222-1-211-2-1−2i2i-111-2-11200i−i3−3−2i2i1-1i3−i300i3i3−i3−i3-2200002i−2i00−33−33000i−i3−300000001-1−i3i30−ii0000000
χ4722-2-22-1-222-1-211-2-1−2i2i-111-2-11200i−i−33−2i2i1-1−i3i300−i3−i3i3i32-20000−2i2i00−33−33000i−i−330000000-11−i3i30i−i0000000
χ4822-2-22-1-222-1-211-2-1−2i2i-111-2-11200i−i−33−2i2i1-1−i3i300−i3−i3i3i3-2200002i−2i003−33−3000i−i−3300000001-1i3−i30−ii0000000
χ4944444-2-4-44-24-2-24-200-2-2-2-422-40000000022000000000040-400000-2-2220000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-2-2-2-422-400000000220000000000-4040000022-2-20000000000000000000000000000
χ514444-24-4-4-24-244-2-200-2-2-22-4-4200000000220000000000040-400000000-2-200000000000000002000000000
χ524444-24-4-4-24-244-2-200-2-2-22-4-42000000002200000000000-40400000000220000000000000000-2000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-222-2-2112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-422-2-222112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-4444-444-4-4-4-44004-4-44-44-4000000004-400000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-4-200-22242-2-400000000-2200000000000000000023−23−23230000000000000000000000000000
χ5944-4-44-24-44-2-422-4-200-22242-2-400000000-22000000000000000000−232323−230000000000000000000000000000
χ6044-4-4-244-4-242-4-42-200-222-2-44200000000-220000000000000000000000000000000000−2i32i300000000000000
χ6144-4-4-244-4-242-4-42-200-222-2-44200000000-2200000000000000000000000000000000002i3−2i300000000000000
χ6244-4-4-24-44-242-4-42-24i−4i-22224-4-2004i−4i00−2i2i2-20000000000000000000000000−2i2i00000000000000000000000
χ6344-4-4-24-44-242-4-42-2−4i4i-22224-4-200−4i4i002i−2i2-200000000000000000000000002i−2i00000000000000000000000
χ6444-4-4-2-2-44-2-2222214i−4i1-1-12-22-200−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ6544-4-4-2-2-44-2-2222214i−4i1-1-12-22-200−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ6644-4-4-2-2-44-2-222221−4i4i1-1-12-22-2002i−2i23−232i−2i-112i3−2i300−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ6744-4-4-2-2-44-2-222221−4i4i1-1-12-22-2002i−2i−23232i−2i-11−2i32i300i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ684-44-44400-4-4-44-44400-44-400000000000000000000000000000000000000000004-40000000000000000000
χ694-44-44400-4-4-44-44400-44-40000000000000000000000000000000000000000000-440000000000000000000
χ704-4-444400-4-44-44-4400-4-4400000000000000000000000000000022−22000000000000000000000000022−2200000
χ714-4-444400-4-44-44-4400-4-44000000000000000000000000000000−22220000000000000000000000000−222200000
χ724-4-44-24002-4-2-442-20022-200000000000000006−66−66−60000000022−22000023−230000000000000000000−2200000
χ734-4-44-24002-4-2-442-20022-200000000000000006−66−66−600000000−22220000−232300000000000000000002−200000
χ744-4-44-24002-4-2-442-20022-20000000000000000−66−66−660000000022−220000−23230000000000000000000−2200000
χ754-4-44-24002-4-2-442-20022-20000000000000000−66−66−6600000000−2222000023−2300000000000000000002−200000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-4-444442002-2-2-44-44000000002-200000000000000000000000000000000000000000000000000
χ788-88-88-400-84-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-48004-848-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4200-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ818-88-8-4-400444-44-4200-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ828-8-888-400-8484-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-2-22000000000000000026−26−66−66000000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-2-220000000000000000−26266−66−6000000000000000000000000000000000000000000

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