Finite Group Databasebeta

← Group #11868419

Character table — Group #11868419

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order122244336666661212121212124444121212121212121244441212121248888222244666666661212121212124444121212121212121244441212121248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-222222222-2-2-2-2-2-2000000000000-2-2000000200002222-2-222222222-2-2-2-2-2-2000000000000-2-200000020000
χ1122-2-22-222-2-22-2-2222-2-22-2000000000000000000000−i2i2−i2i222-2-22-222-2-22-2-2222-2-22-2000000000000000000000−i2i2−i2i2
χ1222-2-22-222-2-22-2-2222-2-22-2000000000000000000000i2−i2i2−i222-2-22-222-2-22-2-2222-2-22-2000000000000000000000i2−i2i2−i2
χ1322-2-2-2222-2-22-2-22-2-222-22000000000000000000000−i2i2i2−i222-2-2-2222-2-22-2-22-2-222-22000000000000000000000−i2i2i2−i2
χ1422-2-2-2222-2-22-2-22-2-222-22000000000000000000000i2−i2−i2i222-2-2-2222-2-22-2-22-2-222-22000000000000000000000i2−i2−i2i2
χ152-22-200222-2-22-2-2000000002i−2i00002i2i−2i−2i-22000000000002-22-200222-2-22-2-2000000002i−2i00002i2i−2i−2i-2200000000000
χ162-22-200222-2-22-2-200000000−2i2i0000−2i−2i2i2i-22000000000002-22-200222-2-22-2-200000000−2i2i0000−2i−2i2i2i-2200000000000
χ172-22-200222-2-22-2-20000002-20022-2-200002-2000000000002-22-200222-2-22-2-20000002-20022-2-200002-200000000000
χ182-22-200222-2-22-2-2000000-2200-2-22200002-2000000000002-22-200222-2-22-2-2000000-2200-2-22200002-200000000000
χ194444441-211-2-2-21-2-2-2-2110000000000000022-1-1-1-1000004444441-211-2-2-21-2-2-2-2110000000000000022-1-1-1-100000
χ204444441-211-2-2-21-2-2-2-21100000000000000-2-21111000004444441-211-2-2-21-2-2-2-21100000000000000-2-2111100000
χ21444444-21-2-2111-21111-2-22222-1-1-1-1-1-1-1-10000000000000444444-21-2-2111-21111-2-22222-1-1-1-1-1-1-1-10000000000000
χ22444444-21-2-2111-21111-2-2-2-2-2-2111111110000000000000444444-21-2-2111-21111-2-2-2-2-2-2111111110000000000000
χ234444-4-41-211-2-2-212222-1-1000000000000002-2-1-111000004444-4-41-211-2-2-212222-1-1000000000000002-2-1-11100000
χ244444-4-41-211-2-2-212222-1-100000000000000-2211-1-1000004444-4-41-211-2-2-212222-1-100000000000000-2211-1-100000
χ254444-4-4-21-2-2111-2-1-1-1-12222-2-2-1-1-1-1111100000000000004444-4-4-21-2-2111-2-1-1-1-12222-2-2-1-1-1-111110000000000000
χ264444-4-4-21-2-2111-2-1-1-1-122-2-2221111-1-1-1-100000000000004444-4-4-21-2-2111-2-1-1-1-122-2-2221111-1-1-1-10000000000000
χ2744-4-44-41-2-1-1-2221-2-2221-10000000000000000−i3i3−i3i30000044-4-44-41-2-1-1-2221-2-2221-10000000000000000−i3i3−i3i300000
χ2844-4-44-41-2-1-1-2221-2-2221-10000000000000000i3−i3i3−i30000044-4-44-41-2-1-1-2221-2-2221-10000000000000000i3−i3i3−i300000
χ2944-4-44-4-21221-1-1-211-1-1-2200003−33−33−33−3000000000000044-4-44-4-21221-1-1-211-1-1-2200003−33−33−33−30000000000000
χ3044-4-44-4-21221-1-1-211-1-1-220000−33−33−33−33000000000000044-4-44-4-21221-1-1-211-1-1-220000−33−33−33−330000000000000
χ3144-4-4-441-2-1-1-222122-2-2-110000000000000000−i3i3i3−i30000044-4-4-441-2-1-1-222122-2-2-110000000000000000−i3i3i3−i300000
χ3244-4-4-441-2-1-1-222122-2-2-110000000000000000i3−i3−i3i30000044-4-4-441-2-1-1-222122-2-2-110000000000000000i3−i3−i3i300000
χ3344-4-4-44-21221-1-1-2-1-1112-200003−33−3−33−33000000000000044-4-4-44-21221-1-1-2-1-1112-200003−33−3−33−330000000000000
χ3444-4-4-44-21221-1-1-2-1-1112-20000−33−333−33−3000000000000044-4-4-44-21221-1-1-2-1-1112-20000−33−333−33−30000000000000
χ354-44-400-21-22-11-123i−3i3i−3i002-22i−2i-1-111−i−iii00000000000004-44-400-21-22-11-123i−3i3i−3i002-22i−2i-1-111−i−iii0000000000000
χ364-44-400-21-22-11-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i00000000000004-44-400-21-22-11-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i0000000000000
χ374-44-400-21-22-11-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i00000000000004-44-400-21-22-11-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i0000000000000
χ384-44-400-21-22-11-12−3i3i−3i3i00-222i−2i11-1-1−i−iii00000000000004-44-400-21-22-11-12−3i3i−3i3i00-222i−2i11-1-1−i−iii0000000000000
χ394-4-440044-44-4-44-400000000000000000000000000000004-4-440044-44-4-44-40000000000000000000000000000000
χ404-4-4400-212-2-1-1123i−3i−3i3i0000003−3−33i3−i3−i3i300000000000004-4-4400-212-2-1-1123i−3i−3i3i0000003−3−33i3−i3−i3i30000000000000
χ414-4-4400-212-2-1-1123i−3i−3i3i000000−333−3−i3i3i3−i300000000000004-4-4400-212-2-1-1123i−3i−3i3i000000−333−3−i3i3i3−i30000000000000
χ424-4-4400-212-2-1-112−3i3i3i−3i0000003−3−33−i3i3i3−i300000000000004-4-4400-212-2-1-112−3i3i3i−3i0000003−3−33−i3i3i3−i30000000000000
χ434-4-4400-212-2-1-112−3i3i3i−3i000000−333−3i3−i3−i3i300000000000004-4-4400-212-2-1-112−3i3i3i−3i000000−333−3i3−i3−i3i30000000000000
χ448-88-8002-42-24-44-200000000000000000000000000000008-88-8002-42-24-44-20000000000000000000000000000000
χ458-8-88002-4-2244-4-200000000000000000000000000000008-8-88002-4-2244-4-20000000000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ471111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11111
χ4911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1
χ501111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1111-1-111
χ511111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11-111-1-1111-1-1
χ521111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-11-1-111111-1-1
χ531111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-111-1-11-1-111
χ5422222222222222222222000000000000-2-2000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200000020000
χ552222-2-222222222-2-2-2-2-2-2000000000000-2-200000020000-2-2-2-222-2-2-2-2-2-2-2-222222200000000000022000000-20000
χ5622-2-22-222-2-22-2-2222-2-22-2000000000000000000000−i2i2−i2i2-2-222-22-2-222-222-2-2-222-22000000000000000000000i2−i2i2−i2
χ5722-2-22-222-2-22-2-2222-2-22-2000000000000000000000i2−i2i2−i2-2-222-22-2-222-222-2-2-222-22000000000000000000000−i2i2−i2i2
χ5822-2-2-2222-2-22-2-22-2-222-22000000000000000000000−i2i2i2−i2-2-2222-2-2-222-222-222-2-22-2000000000000000000000i2−i2−i2i2
χ5922-2-2-2222-2-22-2-22-2-222-22000000000000000000000i2−i2−i2i2-2-2222-2-2-222-222-222-2-22-2000000000000000000000−i2i2i2−i2
χ602-22-200222-2-22-2-2000000002i−2i00002i2i−2i−2i-2200000000000-22-2200-2-2-222-22200000000−2i2i0000−2i−2i2i2i2-200000000000
χ612-22-200222-2-22-2-200000000−2i2i0000−2i−2i2i2i-2200000000000-22-2200-2-2-222-222000000002i−2i00002i2i−2i−2i2-200000000000
χ622-22-200222-2-22-2-20000002-20022-2-200002-200000000000-22-2200-2-2-222-222000000-2200-2-2220000-2200000000000
χ632-22-200222-2-22-2-2000000-2200-2-22200002-200000000000-22-2200-2-2-222-2220000002-20022-2-20000-2200000000000
χ644444441-211-2-2-21-2-2-2-2110000000000000022-1-1-1-100000-4-4-4-4-4-4-12-1-1222-12222-1-100000000000000-2-2111100000
χ654444441-211-2-2-21-2-2-2-21100000000000000-2-2111100000-4-4-4-4-4-4-12-1-1222-12222-1-10000000000000022-1-1-1-100000
χ66444444-21-2-2111-21111-2-22222-1-1-1-1-1-1-1-10000000000000-4-4-4-4-4-42-122-1-1-12-1-1-1-122-2-2-2-2111111110000000000000
χ67444444-21-2-2111-21111-2-2-2-2-2-2111111110000000000000-4-4-4-4-4-42-122-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-10000000000000
χ684444-4-41-211-2-2-212222-1-1000000000000002-2-1-11100000-4-4-4-444-12-1-1222-1-2-2-2-21100000000000000-2211-1-100000
χ694444-4-41-211-2-2-212222-1-100000000000000-2211-1-100000-4-4-4-444-12-1-1222-1-2-2-2-211000000000000002-2-1-11100000
χ704444-4-4-21-2-2111-2-1-1-1-12222-2-2-1-1-1-111110000000000000-4-4-4-4442-122-1-1-121111-2-2-2-2221111-1-1-1-10000000000000
χ714444-4-4-21-2-2111-2-1-1-1-122-2-2221111-1-1-1-10000000000000-4-4-4-4442-122-1-1-121111-2-222-2-2-1-1-1-111110000000000000
χ7244-4-44-41-2-1-1-2221-2-2221-10000000000000000−i3i3−i3i300000-4-444-44-12112-2-2-122-2-2-110000000000000000i3−i3i3−i300000
χ7344-4-44-41-2-1-1-2221-2-2221-10000000000000000i3−i3i3−i300000-4-444-44-12112-2-2-122-2-2-110000000000000000−i3i3−i3i300000
χ7444-4-44-4-21221-1-1-211-1-1-2200003−33−33−33−30000000000000-4-444-442-1-2-2-1112-1-1112-20000−33−33−33−330000000000000
χ7544-4-44-4-21221-1-1-211-1-1-220000−33−33−33−330000000000000-4-444-442-1-2-2-1112-1-1112-200003−33−33−33−30000000000000
χ7644-4-4-441-2-1-1-222122-2-2-110000000000000000−i3i3i3−i300000-4-4444-4-12112-2-2-1-2-2221-10000000000000000i3−i3−i3i300000
χ7744-4-4-441-2-1-1-222122-2-2-110000000000000000i3−i3−i3i300000-4-4444-4-12112-2-2-1-2-2221-10000000000000000−i3i3i3−i300000
χ7844-4-4-44-21221-1-1-2-1-1112-200003−33−3−33−330000000000000-4-4444-42-1-2-2-111211-1-1-220000−33−333−33−30000000000000
χ7944-4-4-44-21221-1-1-2-1-1112-20000−33−333−33−30000000000000-4-4444-42-1-2-2-111211-1-1-2200003−33−3−33−330000000000000
χ804-44-400-21-22-11-123i−3i3i−3i002-22i−2i-1-111−i−iii0000000000000-44-44002-12-21-11-2−3i3i−3i3i00-22−2i2i11-1-1ii−i−i0000000000000
χ814-44-400-21-22-11-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i0000000000000-44-44002-12-21-11-2−3i3i−3i3i002-22i−2i-1-111−i−iii0000000000000
χ824-44-400-21-22-11-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i0000000000000-44-44002-12-21-11-23i−3i3i−3i00-222i−2i11-1-1−i−iii0000000000000
χ834-44-400-21-22-11-12−3i3i−3i3i00-222i−2i11-1-1−i−iii0000000000000-44-44002-12-21-11-23i−3i3i−3i002-2−2i2i-1-111ii−i−i0000000000000
χ844-4-440044-44-4-44-40000000000000000000000000000000-444-400-4-44-444-440000000000000000000000000000000
χ854-4-4400-212-2-1-1123i−3i−3i3i0000003−3−33i3−i3−i3i30000000000000-444-4002-1-2211-1-2−3i3i3i−3i000000−333−3−i3i3i3−i30000000000000
χ864-4-4400-212-2-1-1123i−3i−3i3i000000−333−3−i3i3i3−i30000000000000-444-4002-1-2211-1-2−3i3i3i−3i0000003−3−33i3−i3−i3i30000000000000
χ874-4-4400-212-2-1-112−3i3i3i−3i0000003−3−33−i3i3i3−i30000000000000-444-4002-1-2211-1-23i−3i−3i3i000000−333−3i3−i3−i3i30000000000000
χ884-4-4400-212-2-1-112−3i3i3i−3i000000−333−3i3−i3−i3i30000000000000-444-4002-1-2211-1-23i−3i−3i3i0000003−3−33−i3i3i3−i30000000000000
χ898-88-8002-42-24-44-20000000000000000000000000000000-88-8800-24-22-44-420000000000000000000000000000000
χ908-8-88002-4-2244-4-20000000000000000000000000000000-888-800-242-2-4-4420000000000000000000000000000000

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