Finite Group Databasebeta

← Group #11869468

Character table — Group #11869468

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order12224433666666121212121212444412121212121212124424661212288882222446666666612121212121244441212121212121212442466121228888
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
χ1122-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i0000000000000000000002−2−i2i222-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i0000000000000000000002−2−i2i2
χ1222-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i000000000000000000000−22i2−i222-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i000000000000000000000−22i2−i2
χ1322-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i0000000000000000000002−2i2−i222-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i0000000000000000000002−2i2−i2
χ1422-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i000000000000000000000−22−i2i222-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i000000000000000000000−22−i2i2
χ152-22-20022-222-2-2-2000000002i−2i00002i2i−2i−2i2-2000000000002-22-20022-222-2-2-2000000002i−2i00002i2i−2i−2i2-200000000000
χ162-22-20022-222-2-2-200000000−2i2i0000−2i−2i2i2i2-2000000000002-22-20022-222-2-2-200000000−2i2i0000−2i−2i2i2i2-200000000000
χ172-22-20022-222-2-2-20000002i−2i002i2i−2i−2i0000-22000000000002-22-20022-222-2-2-20000002i−2i002i2i−2i−2i0000-2200000000000
χ182-22-20022-222-2-2-2000000−2i2i00−2i−2i2i2i0000-22000000000002-22-20022-222-2-2-2000000−2i2i00−2i−2i2i2i0000-2200000000000
χ194444441-2-21-211-21111-2-22222-1-1-1-1-1-1-1-100000000000004444441-2-21-211-21111-2-22222-1-1-1-1-1-1-1-10000000000000
χ204444441-2-21-211-21111-2-2-2-2-2-21111111100000000000004444441-2-21-211-21111-2-2-2-2-2-2111111110000000000000
χ21444444-211-21-2-21-2-2-2-2110000000000000022-1-1-1-100000444444-211-21-2-21-2-2-2-2110000000000000022-1-1-1-100000
χ22444444-211-21-2-21-2-2-2-21100000000000000-2-2111100000444444-211-21-2-21-2-2-2-21100000000000000-2-2111100000
χ234444-4-41-2-21-211-2-1-1-1-12222-2-2-1-1-1-1111100000000000004444-4-41-2-21-211-2-1-1-1-12222-2-2-1-1-1-111110000000000000
χ244444-4-41-2-21-211-2-1-1-1-122-2-2221111-1-1-1-100000000000004444-4-41-2-21-211-2-1-1-1-122-2-2221111-1-1-1-10000000000000
χ254444-4-4-211-21-2-212222-1-1000000000000002-2-1-111000004444-4-4-211-21-2-212222-1-1000000000000002-2-1-11100000
χ264444-4-4-211-21-2-212222-1-100000000000000-2211-1-1000004444-4-4-211-21-2-212222-1-100000000000000-2211-1-100000
χ2744-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000−i3i3−i3i33−33−3000000000000044-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000−i3i3−i3i33−33−30000000000000
χ2844-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000i3−i3i3−i3−33−33000000000000044-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000i3−i3i3−i3−33−330000000000000
χ2944-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000−i3i33−30000044-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000−i3i33−300000
χ3044-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000i3−i3−330000044-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000i3−i3−3300000
χ3144-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000−i3i3−i3i3−33−33000000000000044-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000−i3i3−i3i3−33−330000000000000
χ3244-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000i3−i3i3−i33−33−3000000000000044-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000i3−i3i3−i33−33−30000000000000
χ3344-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000−i3i3−330000044-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000−i3i3−3300000
χ3444-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000i3−i33−30000044-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000i3−i33−300000
χ354-44-4001-221-2-1-123-33-3002i−2i2i−2i−i−iii−i−iii00000000000004-44-4001-221-2-1-123-33-3002i−2i2i−2i−i−iii−i−iii0000000000000
χ364-44-4001-221-2-1-123-33-300−2i2i−2i2iii−i−iii−i−i00000000000004-44-4001-221-2-1-123-33-300−2i2i−2i2iii−i−iii−i−i0000000000000
χ374-44-4001-221-2-1-12-33-33002i−2i−2i2i−i−iiiii−i−i00000000000004-44-4001-221-2-1-12-33-33002i−2i−2i2i−i−iiiii−i−i0000000000000
χ384-44-4001-221-2-1-12-33-3300−2i2i2i−2iii−i−i−i−iii00000000000004-44-4001-221-2-1-12-33-3300−2i2i2i−2iii−i−i−i−iii0000000000000
χ394-4-44001-22-12-11-23i−3i−3i3i0000003−3−33i3−i3−i3i300000000000004-4-44001-22-12-11-23i−3i−3i3i0000003−3−33i3−i3−i3i30000000000000
χ404-4-44001-22-12-11-23i−3i−3i3i000000−333−3−i3i3i3−i300000000000004-4-44001-22-12-11-23i−3i−3i3i000000−333−3−i3i3i3−i30000000000000
χ414-4-44001-22-12-11-2−3i3i3i−3i0000003−3−33−i3i3i3−i300000000000004-4-44001-22-12-11-2−3i3i3i−3i0000003−3−33−i3i3i3−i30000000000000
χ424-4-44001-22-12-11-2−3i3i3i−3i000000−333−3i3−i3−i3i300000000000004-4-44001-22-12-11-2−3i3i3i−3i000000−333−3i3−i3−i3i30000000000000
χ434-4-440044-4-4-4-44400000000000000000000000000000004-4-440044-4-4-4-4440000000000000000000000000000000
χ448-88-800-42-2-4244-200000000000000000000000000000008-88-800-42-2-4244-20000000000000000000000000000000
χ458-8-8800-42-24-24-4200000000000000000000000000000008-8-8800-42-24-24-420000000000000000000000000000000
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
χ5622-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i0000000000000000000002−2−i2i2-2-222−2i2i-2-2-222-222−2i−2i2i2i−2i2i000000000000000000000−22i2−i2
χ5722-2-22i−2i222-2-22-2-22i2i−2i−2i2i−2i000000000000000000000−22i2−i2-2-222−2i2i-2-2-222-222−2i−2i2i2i−2i2i0000000000000000000002−2−i2i2
χ5822-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i0000000000000000000002−2i2−i2-2-2222i−2i-2-2-222-2222i2i−2i−2i2i−2i000000000000000000000−22−i2i2
χ5922-2-2−2i2i222-2-22-2-2−2i−2i2i2i−2i2i000000000000000000000−22−i2i2-2-2222i−2i-2-2-222-2222i2i−2i−2i2i−2i0000000000000000000002−2i2−i2
χ602-22-20022-222-2-2-2000000002i−2i00002i2i−2i−2i2-200000000000-22-2200-2-22-2-222200000000−2i2i0000−2i−2i2i2i-2200000000000
χ612-22-20022-222-2-2-200000000−2i2i0000−2i−2i2i2i2-200000000000-22-2200-2-22-2-2222000000002i−2i00002i2i−2i−2i-2200000000000
χ622-22-20022-222-2-2-20000002i−2i002i2i−2i−2i0000-2200000000000-22-2200-2-22-2-2222000000−2i2i00−2i−2i2i2i00002-200000000000
χ632-22-20022-222-2-2-2000000−2i2i00−2i−2i2i2i0000-2200000000000-22-2200-2-22-2-22220000002i−2i002i2i−2i−2i00002-200000000000
χ644444441-2-21-211-21111-2-22222-1-1-1-1-1-1-1-10000000000000-4-4-4-4-4-4-122-12-1-12-1-1-1-122-2-2-2-2111111110000000000000
χ654444441-2-21-211-21111-2-2-2-2-2-2111111110000000000000-4-4-4-4-4-4-122-12-1-12-1-1-1-1222222-1-1-1-1-1-1-1-10000000000000
χ66444444-211-21-2-21-2-2-2-2110000000000000022-1-1-1-100000-4-4-4-4-4-42-1-12-122-12222-1-100000000000000-2-2111100000
χ67444444-211-21-2-21-2-2-2-21100000000000000-2-2111100000-4-4-4-4-4-42-1-12-122-12222-1-10000000000000022-1-1-1-100000
χ684444-4-41-2-21-211-2-1-1-1-12222-2-2-1-1-1-111110000000000000-4-4-4-444-122-12-1-121111-2-2-2-2221111-1-1-1-10000000000000
χ694444-4-41-2-21-211-2-1-1-1-122-2-2221111-1-1-1-10000000000000-4-4-4-444-122-12-1-121111-2-222-2-2-1-1-1-111110000000000000
χ704444-4-4-211-21-2-212222-1-1000000000000002-2-1-11100000-4-4-4-4442-1-12-122-1-2-2-2-21100000000000000-2211-1-100000
χ714444-4-4-211-21-2-212222-1-100000000000000-2211-1-100000-4-4-4-4442-1-12-122-1-2-2-2-211000000000000002-2-1-11100000
χ7244-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000−i3i3−i3i33−33−30000000000000-4-444−4i4i-1221-2-11-2−i−iii2i−2i0000i3−i3i3−i3−33−330000000000000
χ7344-4-44i−4i1-2-2-121-12ii−i−i−2i2i0000i3−i3i3−i3−33−330000000000000-4-444−4i4i-1221-2-11-2−i−iii2i−2i0000−i3i3−i3i33−33−30000000000000
χ7444-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000−i3i33−300000-4-444−4i4i2-1-1-212-212i2i−2i−2i−ii0000000000000000i3−i3−3300000
χ7544-4-44i−4i-2112-1-22-1−2i−2i2i2ii−i0000000000000000i3−i3−3300000-4-444−4i4i2-1-1-212-212i2i−2i−2i−ii0000000000000000−i3i33−300000
χ7644-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000−i3i3−i3i3−33−330000000000000-4-4444i−4i-1221-2-11-2ii−i−i−2i2i0000i3−i3i3−i33−33−30000000000000
χ7744-4-4−4i4i1-2-2-121-12−i−iii2i−2i0000i3−i3i3−i33−33−30000000000000-4-4444i−4i-1221-2-11-2ii−i−i−2i2i0000−i3i3−i3i3−33−330000000000000
χ7844-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000−i3i3−3300000-4-4444i−4i2-1-1-212-21−2i−2i2i2ii−i0000000000000000i3−i33−300000
χ7944-4-4−4i4i-2112-1-22-12i2i−2i−2i−ii0000000000000000i3−i33−300000-4-4444i−4i2-1-1-212-21−2i−2i2i2ii−i0000000000000000−i3i3−3300000
χ804-44-4001-221-2-1-123-33-3002i−2i2i−2i−i−iii−i−iii0000000000000-44-4400-12-2-1211-2-33-3300−2i2i−2i2iii−i−iii−i−i0000000000000
χ814-44-4001-221-2-1-123-33-300−2i2i−2i2iii−i−iii−i−i0000000000000-44-4400-12-2-1211-2-33-33002i−2i2i−2i−i−iii−i−iii0000000000000
χ824-44-4001-221-2-1-12-33-33002i−2i−2i2i−i−iiiii−i−i0000000000000-44-4400-12-2-1211-23-33-300−2i2i2i−2iii−i−i−i−iii0000000000000
χ834-44-4001-221-2-1-12-33-3300−2i2i2i−2iii−i−i−i−iii0000000000000-44-4400-12-2-1211-23-33-3002i−2i−2i2i−i−iiiii−i−i0000000000000
χ844-4-44001-22-12-11-23i−3i−3i3i0000003−3−33i3−i3−i3i30000000000000-444-400-12-21-21-12−3i3i3i−3i000000−333−3−i3i3i3−i30000000000000
χ854-4-44001-22-12-11-23i−3i−3i3i000000−333−3−i3i3i3−i30000000000000-444-400-12-21-21-12−3i3i3i−3i0000003−3−33i3−i3−i3i30000000000000
χ864-4-44001-22-12-11-2−3i3i3i−3i0000003−3−33−i3i3i3−i30000000000000-444-400-12-21-21-123i−3i−3i3i000000−333−3i3−i3−i3i30000000000000
χ874-4-44001-22-12-11-2−3i3i3i−3i000000−333−3i3−i3−i3i30000000000000-444-400-12-21-21-123i−3i−3i3i0000003−3−33−i3i3i3−i30000000000000
χ884-4-440044-4-4-4-4440000000000000000000000000000000-444-400-4-44444-4-40000000000000000000000000000000
χ898-88-800-42-2-4244-20000000000000000000000000000000-88-88004-224-2-4-420000000000000000000000000000000
χ908-8-8800-42-24-24-420000000000000000000000000000000-888-8004-22-42-44-20000000000000000000000000000000

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