Finite Group Databasebeta

← Group #11866809

Character table — Group #11866809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order1222223366666666664444888888884444121212121212121222222266666666666644448888888844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ51111-1-111111111-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-11111-1-111111111-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-1111111-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-111
χ71111-1-111111111-1-1-1-11-1-11-1-1-1-111111-1-1111-1-1-1-1111111-1-111111111-1-1-1-11-1-11-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-111111111-1-1-1-11-1-11-1-1-1-11111-111-1-1-11111-1-11111-1-111111111-1-1-1-11-1-11-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-2-222-2000000000000000000002222-2-222222222-2-2-2-2-222-200000000000000000000
χ1122-2-22-22222-2-2-2-222-2-2000022−2−222−2−200000000000022-2-22-22222-2-2-2-222-2-2000022−2−222−2−2000000000000
χ1222-2-22-22222-2-2-2-222-2-20000−2−222−2−22200000000000022-2-22-22222-2-2-2-222-2-20000−2−222−2−222000000000000
χ1322-2-2-222222-2-2-2-2-2-222000022−2−2−2−22200000000000022-2-2-222222-2-2-2-2-2-222000022−2−2−2−222000000000000
χ1422-2-2-222222-2-2-2-2-2-2220000−2−22222−2−200000000000022-2-2-222222-2-2-2-2-2-2220000−2−22222−2−2000000000000
χ152-22-20022-2-222-2-2000002i−2i02−22−2−i2i2−i2i20000000000002-22-20022-2-222-2-2000002i−2i02−22−2−i2i2−i2i2000000000000
χ162-22-20022-2-222-2-2000002i−2i0−22−22i2−i2i2−i20000000000002-22-20022-2-222-2-2000002i−2i0−22−22i2−i2i2−i2000000000000
χ172-22-20022-2-222-2-200000−2i2i02−22−2i2−i2i2−i20000000000002-22-20022-2-222-2-200000−2i2i02−22−2i2−i2i2−i2000000000000
χ182-22-20022-2-222-2-200000−2i2i0−22−22−i2i2−i2i20000000000002-22-20022-2-222-2-200000−2i2i0−22−22−i2i2−i2i2000000000000
χ192-2-220022-2-2-2-2220000200-200002i−2i−2i2i0000000000002-2-220022-2-2-2-2220000200-200002i−2i−2i2i000000000000
χ202-2-220022-2-2-2-2220000200-20000−2i2i2i−2i0000000000002-2-220022-2-2-2-2220000200-20000−2i2i2i−2i000000000000
χ212-2-220022-2-2-2-2220000-20022-2-2200000000000000002-2-220022-2-2-2-2220000-20022-2-220000000000000000
χ222-2-220022-2-2-2-2220000-2002-222-200000000000000002-2-220022-2-2-2-2220000-2002-222-20000000000000000
χ234444441-21-21-21-21-21-200000000000002020000-1-1-1-14444441-21-21-21-21-21-200000000000002020000-1-1-1-1
χ244444441-21-21-21-21-21-20000000000000-20-2000011114444441-21-21-21-21-21-20000000000000-20-200001111
χ25444444-21-21-21-21-21-210000000000002020-1-1-1-10000444444-21-21-21-21-21-210000000000002020-1-1-1-10000
χ26444444-21-21-21-21-21-21000000000000-20-2011110000444444-21-21-21-21-21-21000000000000-20-2011110000
χ274444-4-41-21-21-21-2-12-12000000000000020-20000-1-1114444-4-41-21-21-21-2-12-12000000000000020-20000-1-111
χ284444-4-41-21-21-21-2-12-120000000000000-202000011-1-14444-4-41-21-21-21-2-12-120000000000000-202000011-1-1
χ294444-4-4-21-21-21-212-12-100000000000020-20-1-11100004444-4-4-21-21-21-212-12-100000000000020-20-1-1110000
χ304444-4-4-21-21-21-212-12-1000000000000-202011-1-100004444-4-4-21-21-21-212-12-1000000000000-202011-1-10000
χ3144-4-44-41-21-2-12-121-2-12000000000000000000003−33−344-4-44-41-21-2-12-121-2-12000000000000000000003−33−3
χ3244-4-44-41-21-2-12-121-2-1200000000000000000000−33−3344-4-44-41-21-2-12-121-2-1200000000000000000000−33−33
χ3344-4-44-4-21-212-12-1-212-100000000000000003−33−3000044-4-44-4-21-212-12-1-212-100000000000000003−33−30000
χ3444-4-44-4-21-212-12-1-212-10000000000000000−33−33000044-4-44-4-21-212-12-1-212-10000000000000000−33−330000
χ3544-4-4-441-21-2-12-12-121-2000000000000000000003−3−3344-4-4-441-21-2-12-12-121-2000000000000000000003−3−33
χ3644-4-4-441-21-2-12-12-121-200000000000000000000−333−344-4-4-441-21-2-12-12-121-200000000000000000000−333−3
χ3744-4-4-44-21-212-12-12-1-2100000000000000003−3−33000044-4-4-44-21-212-12-12-1-2100000000000000003−3−330000
χ3844-4-4-44-21-212-12-12-1-210000000000000000−333−3000044-4-4-44-21-212-12-12-1-210000000000000000−333−30000
χ398-88-8002-4-242-4-2400000000000000000000000000008-88-8002-4-242-4-240000000000000000000000000000
χ408-88-800-424-2-424-200000000000000000000000000008-88-800-424-2-424-20000000000000000000000000000
χ418-8-88002-4-24-242-400000000000000000000000000008-8-88002-4-24-242-40000000000000000000000000000
χ428-8-8800-424-24-2-4200000000000000000000000000008-8-8800-424-24-2-420000000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ451111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-11111
χ461111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-1
χ471111-1-111111111-1-1-1-11-1-111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-111-1-111-1-111
χ481111-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-111-1-111-1-1
χ491111-1-111111111-1-1-1-11-1-11-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1-111-1-1-11111-1-1
χ501111-1-111111111-1-1-1-11-1-11-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11-1-1111-1-1-1-111
χ51222222222222222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ522222-2-222222222-2-2-2-2-222-200000000000000000000-2-2-2-222-2-2-2-2-2-2-2-222222-2-2200000000000000000000
χ5322-2-22-22222-2-2-2-222-2-2000022−2−222−2−2000000000000-2-222-22-2-2-2-22222-2-2220000−2−222−2−222000000000000
χ5422-2-22-22222-2-2-2-222-2-20000−2−222−2−222000000000000-2-222-22-2-2-2-22222-2-222000022−2−222−2−2000000000000
χ5522-2-2-222222-2-2-2-2-2-222000022−2−2−2−222000000000000-2-2222-2-2-2-2-2222222-2-20000−2−22222−2−2000000000000
χ5622-2-2-222222-2-2-2-2-2-2220000−2−22222−2−2000000000000-2-2222-2-2-2-2-2222222-2-2000022−2−2−2−222000000000000
χ572-22-20022-2-222-2-2000002i−2i02−22−2−i2i2−i2i2000000000000-22-2200-2-222-2-22200000−2i2i0−22−22i2−i2i2−i2000000000000
χ582-22-20022-2-222-2-2000002i−2i0−22−22i2−i2i2−i2000000000000-22-2200-2-222-2-22200000−2i2i02−22−2−i2i2−i2i2000000000000
χ592-22-20022-2-222-2-200000−2i2i02−22−2i2−i2i2−i2000000000000-22-2200-2-222-2-222000002i−2i0−22−22−i2i2−i2i2000000000000
χ602-22-20022-2-222-2-200000−2i2i0−22−22−i2i2−i2i2000000000000-22-2200-2-222-2-222000002i−2i02−22−2i2−i2i2−i2000000000000
χ612-2-220022-2-2-2-2220000200-200002i−2i−2i2i000000000000-222-200-2-22222-2-20000-20020000−2i2i2i−2i000000000000
χ622-2-220022-2-2-2-2220000200-20000−2i2i2i−2i000000000000-222-200-2-22222-2-20000-200200002i−2i−2i2i000000000000
χ632-2-220022-2-2-2-2220000-20022-2-220000000000000000-222-200-2-22222-2-20000200-2-222-20000000000000000
χ642-2-220022-2-2-2-2220000-2002-222-20000000000000000-222-200-2-22222-2-20000200-22-2-220000000000000000
χ654444441-21-21-21-21-21-200000000000002020000-1-1-1-1-4-4-4-4-4-4-12-12-12-12-12-120000000000000-20-200001111
χ664444441-21-21-21-21-21-20000000000000-20-200001111-4-4-4-4-4-4-12-12-12-12-12-1200000000000002020000-1-1-1-1
χ67444444-21-21-21-21-21-210000000000002020-1-1-1-10000-4-4-4-4-4-42-12-12-12-12-12-1000000000000-20-2011110000
χ68444444-21-21-21-21-21-21000000000000-20-2011110000-4-4-4-4-4-42-12-12-12-12-12-10000000000002020-1-1-1-10000
χ694444-4-41-21-21-21-2-12-12000000000000020-20000-1-111-4-4-4-444-12-12-12-121-21-20000000000000-202000011-1-1
χ704444-4-41-21-21-21-2-12-120000000000000-202000011-1-1-4-4-4-444-12-12-12-121-21-2000000000000020-20000-1-111
χ714444-4-4-21-21-21-212-12-100000000000020-20-1-1110000-4-4-4-4442-12-12-12-1-21-21000000000000-202011-1-10000
χ724444-4-4-21-21-21-212-12-1000000000000-202011-1-10000-4-4-4-4442-12-12-12-1-21-2100000000000020-20-1-1110000
χ7344-4-44-41-21-2-12-121-2-12000000000000000000003−33−3-4-444-44-12-121-21-2-121-200000000000000000000−33−33
χ7444-4-44-41-21-2-12-121-2-1200000000000000000000−33−33-4-444-44-12-121-21-2-121-2000000000000000000003−33−3
χ7544-4-44-4-21-212-12-1-212-100000000000000003−33−30000-4-444-442-12-1-21-212-1-210000000000000000−33−330000
χ7644-4-44-4-21-212-12-1-212-10000000000000000−33−330000-4-444-442-12-1-21-212-1-2100000000000000003−33−30000
χ7744-4-4-441-21-2-12-12-121-2000000000000000000003−3−33-4-4444-4-12-121-21-21-2-1200000000000000000000−333−3
χ7844-4-4-441-21-2-12-12-121-200000000000000000000−333−3-4-4444-4-12-121-21-21-2-12000000000000000000003−3−33
χ7944-4-4-44-21-212-12-12-1-2100000000000000003−3−330000-4-4444-42-12-1-21-21-212-10000000000000000−333−30000
χ8044-4-4-44-21-212-12-12-1-210000000000000000−333−30000-4-4444-42-12-1-21-21-212-100000000000000003−3−330000
χ818-88-8002-4-242-4-240000000000000000000000000000-88-8800-242-4-242-40000000000000000000000000000
χ828-88-800-424-2-424-20000000000000000000000000000-88-88004-2-424-2-420000000000000000000000000000
χ838-8-88002-4-24-242-40000000000000000000000000000-888-800-242-42-4-240000000000000000000000000000
χ848-8-8800-424-24-2-420000000000000000000000000000-888-8004-2-42-424-20000000000000000000000000000

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