Finite Group Databasebeta

← Group #11865658

Character table — Group #11865658

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
χ1122-2-22-222-222-2-2-222-2-22-20000000000000000000002−22−222-2-22-222-222-2-2-222-2-22-20000000000000000000002−22−2
χ1222-2-22-222-222-2-2-222-2-22-2000000000000000000000−22−2222-2-22-222-222-2-2-222-2-22-2000000000000000000000−22−22
χ1322-2-2-2222-222-2-2-2-2-222-220000000000000000000002−2−2222-2-2-2222-222-2-2-2-2-222-220000000000000000000002−2−22
χ1422-2-2-2222-222-2-2-2-2-222-22000000000000000000000−222−222-2-2-2222-222-2-2-2-2-222-22000000000000000000000−222−2
χ152-2-220022-2-2-22-22000000002-2000022-2-2-22000000000002-2-220022-2-2-22-22000000002-2000022-2-2-2200000000000
χ162-2-220022-2-2-22-2200000000-220000-2-222-22000000000002-2-220022-2-2-22-2200000000-220000-2-222-2200000000000
χ172-2-220022-2-2-22-220000002i−2i002i2i−2i−2i00002-2000000000002-2-220022-2-2-22-220000002i−2i002i2i−2i−2i00002-200000000000
χ182-2-220022-2-2-22-22000000−2i2i00−2i−2i2i2i00002-2000000000002-2-220022-2-2-22-22000000−2i2i00−2i−2i2i2i00002-200000000000
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
χ2744-4-44-41-2-11-222-1-2-2221-100000000000000003−33−30000044-4-44-41-2-11-222-1-2-2221-100000000000000003−33−300000
χ2844-4-44-41-2-11-222-1-2-2221-10000000000000000−33−330000044-4-44-41-2-11-222-1-2-2221-10000000000000000−33−3300000
χ2944-4-44-4-212-21-1-1211-1-1-2200003−33−33−33−3000000000000044-4-44-4-212-21-1-1211-1-1-2200003−33−33−33−30000000000000
χ3044-4-44-4-212-21-1-1211-1-1-220000−33−33−33−33000000000000044-4-44-4-212-21-1-1211-1-1-220000−33−33−33−330000000000000
χ3144-4-4-441-2-11-222-122-2-2-1100000000000000003−3−330000044-4-4-441-2-11-222-122-2-2-1100000000000000003−3−3300000
χ3244-4-4-441-2-11-222-122-2-2-110000000000000000−333−30000044-4-4-441-2-11-222-122-2-2-110000000000000000−333−300000
χ3344-4-4-44-212-21-1-12-1-1112-200003−33−3−33−33000000000000044-4-4-44-212-21-1-12-1-1112-200003−33−3−33−330000000000000
χ3444-4-4-44-212-21-1-12-1-1112-20000−33−333−33−3000000000000044-4-4-44-212-21-1-12-1-1112-20000−33−333−33−30000000000000
χ354-44-400444-4-4-44-400000000000000000000000000000004-44-400444-4-4-44-40000000000000000000000000000000
χ364-44-400-21-22-1-1123i−3i3i−3i000000−i3i3i3−i33−3−3300000000000004-44-400-21-22-1-1123i−3i3i−3i000000−i3i3i3−i33−3−330000000000000
χ374-44-400-21-22-1-1123i−3i3i−3i000000i3−i3−i3i3−333−300000000000004-44-400-21-22-1-1123i−3i3i−3i000000i3−i3−i3i3−333−30000000000000
χ384-44-400-21-22-1-112−3i3i−3i3i000000−i3i3i3−i3−333−300000000000004-44-400-21-22-1-112−3i3i−3i3i000000−i3i3i3−i3−333−30000000000000
χ394-44-400-21-22-1-112−3i3i−3i3i000000i3−i3−i3i33−3−3300000000000004-44-400-21-22-1-112−3i3i−3i3i000000i3−i3−i3i33−3−330000000000000
χ404-4-4400-2122-11-1-23i−3i−3i3i002i−2i-22−i−iii11-1-100000000000004-4-4400-2122-11-1-23i−3i−3i3i002i−2i-22−i−iii11-1-10000000000000
χ414-4-4400-2122-11-1-23i−3i−3i3i00−2i2i2-2ii−i−i-1-11100000000000004-4-4400-2122-11-1-23i−3i−3i3i00−2i2i2-2ii−i−i-1-1110000000000000
χ424-4-4400-2122-11-1-2−3i3i3i−3i002i−2i2-2−i−iii-1-11100000000000004-4-4400-2122-11-1-2−3i3i3i−3i002i−2i2-2−i−iii-1-1110000000000000
χ434-4-4400-2122-11-1-2−3i3i3i−3i00−2i2i-22ii−i−i11-1-100000000000004-4-4400-2122-11-1-2−3i3i3i−3i00−2i2i-22ii−i−i11-1-10000000000000
χ448-88-8002-42-244-4-200000000000000000000000000000008-88-8002-42-244-4-20000000000000000000000000000000
χ458-8-88002-4-2-24-44200000000000000000000000000000008-8-88002-4-2-24-4420000000000000000000000000000000
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
χ5622-2-22-222-222-2-2-222-2-22-20000000000000000000002−22−2-2-222-22-2-22-2-2222-2-222-22000000000000000000000−22−22
χ5722-2-22-222-222-2-2-222-2-22-2000000000000000000000−22−22-2-222-22-2-22-2-2222-2-222-220000000000000000000002−22−2
χ5822-2-2-2222-222-2-2-2-2-222-220000000000000000000002−2−22-2-2222-2-2-22-2-222222-2-22-2000000000000000000000−222−2
χ5922-2-2-2222-222-2-2-2-2-222-22000000000000000000000−222−2-2-2222-2-2-22-2-222222-2-22-20000000000000000000002−2−22
χ602-2-220022-2-2-22-22000000002-2000022-2-2-2200000000000-222-200-2-2222-22-200000000-220000-2-2222-200000000000
χ612-2-220022-2-2-22-2200000000-220000-2-222-2200000000000-222-200-2-2222-22-2000000002-2000022-2-22-200000000000
χ622-2-220022-2-2-22-220000002i−2i002i2i−2i−2i00002-200000000000-222-200-2-2222-22-2000000−2i2i00−2i−2i2i2i0000-2200000000000
χ632-2-220022-2-2-22-22000000−2i2i00−2i−2i2i2i00002-200000000000-222-200-2-2222-22-20000002i−2i002i2i−2i−2i0000-2200000000000
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
χ7244-4-44-41-2-11-222-1-2-2221-100000000000000003−33−300000-4-444-44-121-12-2-2122-2-2-110000000000000000−33−3300000
χ7344-4-44-41-2-11-222-1-2-2221-10000000000000000−33−3300000-4-444-44-121-12-2-2122-2-2-1100000000000000003−33−300000
χ7444-4-44-4-212-21-1-1211-1-1-2200003−33−33−33−30000000000000-4-444-442-1-22-111-2-1-1112-20000−33−33−33−330000000000000
χ7544-4-44-4-212-21-1-1211-1-1-220000−33−33−33−330000000000000-4-444-442-1-22-111-2-1-1112-200003−33−33−33−30000000000000
χ7644-4-4-441-2-11-222-122-2-2-1100000000000000003−3−3300000-4-4444-4-121-12-2-21-2-2221-10000000000000000−333−300000
χ7744-4-4-441-2-11-222-122-2-2-110000000000000000−333−300000-4-4444-4-121-12-2-21-2-2221-100000000000000003−3−3300000
χ7844-4-4-44-212-21-1-12-1-1112-200003−33−3−33−330000000000000-4-4444-42-1-22-111-211-1-1-220000−33−333−33−30000000000000
χ7944-4-4-44-212-21-1-12-1-1112-20000−33−333−33−30000000000000-4-4444-42-1-22-111-211-1-1-2200003−33−3−33−330000000000000
χ804-44-400444-4-4-44-40000000000000000000000000000000-44-4400-4-4-4444-440000000000000000000000000000000
χ814-44-400-21-22-1-1123i−3i3i−3i000000−i3i3i3−i33−3−330000000000000-44-44002-12-211-1-2−3i3i−3i3i000000i3−i3−i3i3−333−30000000000000
χ824-44-400-21-22-1-1123i−3i3i−3i000000i3−i3−i3i3−333−30000000000000-44-44002-12-211-1-2−3i3i−3i3i000000−i3i3i3−i33−3−330000000000000
χ834-44-400-21-22-1-112−3i3i−3i3i000000−i3i3i3−i3−333−30000000000000-44-44002-12-211-1-23i−3i3i−3i000000i3−i3−i3i33−3−330000000000000
χ844-44-400-21-22-1-112−3i3i−3i3i000000i3−i3−i3i33−3−330000000000000-44-44002-12-211-1-23i−3i3i−3i000000−i3i3i3−i3−333−30000000000000
χ854-4-4400-2122-11-1-23i−3i−3i3i002i−2i-22−i−iii11-1-10000000000000-444-4002-1-2-21-112−3i3i3i−3i00−2i2i2-2ii−i−i-1-1110000000000000
χ864-4-4400-2122-11-1-23i−3i−3i3i00−2i2i2-2ii−i−i-1-1110000000000000-444-4002-1-2-21-112−3i3i3i−3i002i−2i-22−i−iii11-1-10000000000000
χ874-4-4400-2122-11-1-2−3i3i3i−3i002i−2i2-2−i−iii-1-1110000000000000-444-4002-1-2-21-1123i−3i−3i3i00−2i2i-22ii−i−i11-1-10000000000000
χ884-4-4400-2122-11-1-2−3i3i3i−3i00−2i2i-22ii−i−i11-1-10000000000000-444-4002-1-2-21-1123i−3i−3i3i002i−2i2-2−i−iii-1-1110000000000000
χ898-88-8002-42-244-4-20000000000000000000000000000000-88-8800-24-22-4-4420000000000000000000000000000000
χ908-8-88002-4-2-24-4420000000000000000000000000000000-888-800-2422-44-4-20000000000000000000000000000000

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