Finite Group Databasebeta

← Group #11869619

Character table — Group #11869619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order122222336666666666664444121212121212121244441212121248888222222666666666666664444121212121212121244441212121248888
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
χ51111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-222222-2-2-2-2222-2-2000000000000-2-2000000200002222-2-222222-2-2-2-2222-2-2000000000000-2-200000020000
χ1122-2-22-22222-222-2-2-2-2-22-20000000000000000000002−22−222-2-22-22222-222-2-2-2-2-22-20000000000000000000002−22−2
χ1222-2-22-22222-222-2-2-2-2-22-2000000000000000000000−22−2222-2-22-22222-222-2-2-2-2-22-2000000000000000000000−22−22
χ1322-2-2-222222-2-2-222-2-2-2-220000000000000000000002−2−2222-2-2-222222-2-2-222-2-2-2-220000000000000000000002−2−22
χ1422-2-2-222222-2-2-222-2-2-2-22000000000000000000000−222−222-2-2-222222-2-2-222-2-2-2-22000000000000000000000−222−2
χ152-2-220022-2-2200002-2-200002i−2i00002i2i−2i−2i2-2000000000002-2-220022-2-2200002-2-200002i−2i00002i2i−2i−2i2-200000000000
χ162-2-220022-2-2200002-2-20000−2i2i0000−2i−2i2i2i2-2000000000002-2-220022-2-2200002-2-20000−2i2i0000−2i−2i2i2i2-200000000000
χ172-2-220022-2-2200002-2-2002i−2i002i2i−2i−2i0000-22000000000002-2-220022-2-2200002-2-2002i−2i002i2i−2i−2i0000-2200000000000
χ182-2-220022-2-2200002-2-200−2i2i00−2i−2i2i2i0000-22000000000002-2-220022-2-2200002-2-200−2i2i00−2i−2i2i2i0000-2200000000000
χ194444441-21-211111-2-21-2-22222-1-1-1-1-1-1-1-100000000000004444441-21-211111-2-21-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-21-211111-2-21-2-2-2-2-2-21111111100000000000004444441-21-211111-2-21-2-2-2-2-2-2111111110000000000000
χ21444444-21-21-2-2-2-2-211-2110000000000000022-1-1-1-100000444444-21-21-2-2-2-2-211-2110000000000000022-1-1-1-100000
χ22444444-21-21-2-2-2-2-211-21100000000000000-2-2111100000444444-21-21-2-2-2-2-211-21100000000000000-2-2111100000
χ234444-4-41-21-21-1-1-1-1-2-212222-2-2-1-1-1-1111100000000000004444-4-41-21-21-1-1-1-1-2-212222-2-2-1-1-1-111110000000000000
χ244444-4-41-21-21-1-1-1-1-2-2122-2-2221111-1-1-1-100000000000004444-4-41-21-21-1-1-1-1-2-2122-2-2221111-1-1-1-10000000000000
χ254444-4-4-21-21-2222211-2-1-1000000000000002-2-1-111000004444-4-4-21-21-2222211-2-1-1000000000000002-2-1-11100000
χ264444-4-4-21-21-2222211-2-1-100000000000000-2211-1-1000004444-4-4-21-21-2222211-2-1-100000000000000-2211-1-100000
χ2744-4-44-41-21-2-111-1-122-1-2200003−33−33−33−3000000000000044-4-44-41-21-2-111-1-122-1-2200003−33−33−33−30000000000000
χ2844-4-44-41-21-2-111-1-122-1-220000−33−33−33−33000000000000044-4-44-41-21-2-111-1-122-1-220000−33−33−33−330000000000000
χ2944-4-44-4-21-212-2-222-1-121-100000000000000003−33−30000044-4-44-4-21-212-2-222-1-121-100000000000000003−33−300000
χ3044-4-44-4-21-212-2-222-1-121-10000000000000000−33−330000044-4-44-4-21-212-2-222-1-121-10000000000000000−33−3300000
χ3144-4-4-441-21-2-1-1-11122-12-200003−33−3−33−33000000000000044-4-4-441-21-2-1-1-11122-12-200003−33−3−33−330000000000000
χ3244-4-4-441-21-2-1-1-11122-12-20000−33−333−33−3000000000000044-4-4-441-21-2-1-1-11122-12-20000−33−333−33−30000000000000
χ3344-4-4-44-21-21222-2-2-1-12-1100000000000000003−3−330000044-4-4-44-21-21222-2-2-1-12-1100000000000000003−3−3300000
χ3444-4-4-44-21-21222-2-2-1-12-110000000000000000−333−30000044-4-4-44-21-21222-2-2-1-12-110000000000000000−333−300000
χ354-44-4001-2-12-13-33-32-21000000−i3i3i3−i3−i3i3i3−i300000000000004-44-4001-2-12-13-33-32-21000000−i3i3i3−i3−i3i3i3−i30000000000000
χ364-44-4001-2-12-13-33-32-21000000i3−i3−i3i3i3−i3−i3i300000000000004-44-4001-2-12-13-33-32-21000000i3−i3−i3i3i3−i3−i3i30000000000000
χ374-44-4001-2-12-1-33-332-21000000−i3i3i3−i3i3−i3−i3i300000000000004-44-4001-2-12-1-33-332-21000000−i3i3i3−i3i3−i3−i3i30000000000000
χ384-44-4001-2-12-1-33-332-21000000i3−i3−i3i3−i3i3i3−i300000000000004-44-4001-2-12-1-33-332-21000000i3−i3−i3i3−i3i3i3−i30000000000000
χ394-44-40044-4-4-40000-4440000000000000000000000000004-44-40044-4-4-40000-444000000000000000000000000000
χ404-4-44001-2-1213-3-33-22-1002i−2i2i−2i−i−iii−i−iii00000000000004-4-44001-2-1213-3-33-22-1002i−2i2i−2i−i−iii−i−iii0000000000000
χ414-4-44001-2-1213-3-33-22-100−2i2i−2i2iii−i−iii−i−i00000000000004-4-44001-2-1213-3-33-22-100−2i2i−2i2iii−i−iii−i−i0000000000000
χ424-4-44001-2-121-333-3-22-1002i−2i−2i2i−i−iiiii−i−i00000000000004-4-44001-2-121-333-3-22-1002i−2i−2i2i−i−iiiii−i−i0000000000000
χ434-4-44001-2-121-333-3-22-100−2i2i2i−2iii−i−i−i−iii00000000000004-4-44001-2-121-333-3-22-100−2i2i2i−2iii−i−i−i−iii0000000000000
χ448-88-800-424-240000-22-40000000000000000000000000008-88-800-424-240000-22-4000000000000000000000000000
χ458-8-8800-424-2-400002-240000000000000000000000000008-8-8800-424-2-400002-24000000000000000000000000000
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
χ501111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-11-1-1111-1-111
χ511111-1-111111-1-1-1-1111-1-111-1-11111-1-1-1-111-11-1-111-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-11-111-1-1111-1-1
χ521111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111111-1-1
χ531111-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1-1-1-1-111-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-1-1-11-111-1-11-1-111
χ5422222222222222222222000000000000-2-2000000-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000002200000020000
χ552222-2-222222-2-2-2-2222-2-2000000000000-2-200000020000-2-2-2-222-2-2-2-2-22222-2-2-22200000000000022000000-20000
χ5622-2-22-22222-222-2-2-2-2-22-20000000000000000000002−22−2-2-222-22-2-2-2-22-2-222222-22000000000000000000000−22−22
χ5722-2-22-22222-222-2-2-2-2-22-2000000000000000000000−22−22-2-222-22-2-2-2-22-2-222222-220000000000000000000002−22−2
χ5822-2-2-222222-2-2-222-2-2-2-220000000000000000000002−2−22-2-2222-2-2-2-2-2222-2-22222-2000000000000000000000−222−2
χ5922-2-2-222222-2-2-222-2-2-2-22000000000000000000000−222−2-2-2222-2-2-2-2-2222-2-22222-20000000000000000000002−2−22
χ602-2-220022-2-2200002-2-200002i−2i00002i2i−2i−2i2-200000000000-222-200-2-222-20000-2220000−2i2i0000−2i−2i2i2i-2200000000000
χ612-2-220022-2-2200002-2-20000−2i2i0000−2i−2i2i2i2-200000000000-222-200-2-222-20000-22200002i−2i00002i2i−2i−2i-2200000000000
χ622-2-220022-2-2200002-2-2002i−2i002i2i−2i−2i0000-2200000000000-222-200-2-222-20000-22200−2i2i00−2i−2i2i2i00002-200000000000
χ632-2-220022-2-2200002-2-200−2i2i00−2i−2i2i2i0000-2200000000000-222-200-2-222-20000-222002i−2i002i2i−2i−2i00002-200000000000
χ644444441-21-211111-2-21-2-22222-1-1-1-1-1-1-1-10000000000000-4-4-4-4-4-4-12-12-1-1-1-1-122-122-2-2-2-2111111110000000000000
χ654444441-21-211111-2-21-2-2-2-2-2-2111111110000000000000-4-4-4-4-4-4-12-12-1-1-1-1-122-1222222-1-1-1-1-1-1-1-10000000000000
χ66444444-21-21-2-2-2-2-211-2110000000000000022-1-1-1-100000-4-4-4-4-4-42-12-122222-1-12-1-100000000000000-2-2111100000
χ67444444-21-21-2-2-2-2-211-21100000000000000-2-2111100000-4-4-4-4-4-42-12-122222-1-12-1-10000000000000022-1-1-1-100000
χ684444-4-41-21-21-1-1-1-1-2-212222-2-2-1-1-1-111110000000000000-4-4-4-444-12-12-1111122-1-2-2-2-2221111-1-1-1-10000000000000
χ694444-4-41-21-21-1-1-1-1-2-2122-2-2221111-1-1-1-10000000000000-4-4-4-444-12-12-1111122-1-2-222-2-2-1-1-1-111110000000000000
χ704444-4-4-21-21-2222211-2-1-1000000000000002-2-1-11100000-4-4-4-4442-12-12-2-2-2-2-1-121100000000000000-2211-1-100000
χ714444-4-4-21-21-2222211-2-1-100000000000000-2211-1-100000-4-4-4-4442-12-12-2-2-2-2-1-1211000000000000002-2-1-11100000
χ7244-4-44-41-21-2-111-1-122-1-2200003−33−33−33−30000000000000-4-444-44-12-121-1-111-2-212-20000−33−33−33−330000000000000
χ7344-4-44-41-21-2-111-1-122-1-220000−33−33−33−330000000000000-4-444-44-12-121-1-111-2-212-200003−33−33−33−30000000000000
χ7444-4-44-4-21-212-2-222-1-121-100000000000000003−33−300000-4-444-442-12-1-222-2-211-2-110000000000000000−33−3300000
χ7544-4-44-4-21-212-2-222-1-121-10000000000000000−33−3300000-4-444-442-12-1-222-2-211-2-1100000000000000003−33−300000
χ7644-4-4-441-21-2-1-1-11122-12-200003−33−3−33−330000000000000-4-4444-4-12-12111-1-1-2-21-220000−33−333−33−30000000000000
χ7744-4-4-441-21-2-1-1-11122-12-20000−33−333−33−30000000000000-4-4444-4-12-12111-1-1-2-21-2200003−33−3−33−330000000000000
χ7844-4-4-44-21-21222-2-2-1-12-1100000000000000003−3−3300000-4-4444-42-12-1-2-2-22211-21-10000000000000000−333−300000
χ7944-4-4-44-21-21222-2-2-1-12-110000000000000000−333−300000-4-4444-42-12-1-2-2-22211-21-100000000000000003−3−3300000
χ804-44-4001-2-12-13-33-32-21000000−i3i3i3−i3−i3i3i3−i30000000000000-44-4400-121-21-33-33-22-1000000i3−i3−i3i3i3−i3−i3i30000000000000
χ814-44-4001-2-12-13-33-32-21000000i3−i3−i3i3i3−i3−i3i30000000000000-44-4400-121-21-33-33-22-1000000−i3i3i3−i3−i3i3i3−i30000000000000
χ824-44-4001-2-12-1-33-332-21000000−i3i3i3−i3i3−i3−i3i30000000000000-44-4400-121-213-33-3-22-1000000i3−i3−i3i3−i3i3i3−i30000000000000
χ834-44-4001-2-12-1-33-332-21000000i3−i3−i3i3−i3i3i3−i30000000000000-44-4400-121-213-33-3-22-1000000−i3i3i3−i3i3−i3−i3i30000000000000
χ844-44-40044-4-4-40000-444000000000000000000000000000-44-4400-4-444400004-4-4000000000000000000000000000
χ854-4-44001-2-1213-3-33-22-1002i−2i2i−2i−i−iii−i−iii0000000000000-444-400-121-2-1-333-32-2100−2i2i−2i2iii−i−iii−i−i0000000000000
χ864-4-44001-2-1213-3-33-22-100−2i2i−2i2iii−i−iii−i−i0000000000000-444-400-121-2-1-333-32-21002i−2i2i−2i−i−iii−i−iii0000000000000
χ874-4-44001-2-121-333-3-22-1002i−2i−2i2i−i−iiiii−i−i0000000000000-444-400-121-2-13-3-332-2100−2i2i2i−2iii−i−i−i−iii0000000000000
χ884-4-44001-2-121-333-3-22-100−2i2i2i−2iii−i−i−i−iii0000000000000-444-400-121-2-13-3-332-21002i−2i−2i2i−i−iiiii−i−i0000000000000
χ898-88-800-424-240000-22-4000000000000000000000000000-88-88004-2-42-400002-24000000000000000000000000000
χ908-8-8800-424-2-400002-24000000000000000000000000000-888-8004-2-4240000-22-4000000000000000000000000000

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