Finite Group Databasebeta

← Group #11874268

Character table — Group #11874268

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order1222443366666612121212444488888888224466661212121222224466666666121212124444888888882244666612121212
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
χ31111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1
χ9222222222222222222-2-2-2-200000000000000000000222222222222222222-2-2-2-200000000000000000000
χ102222-2-222222222-2-2-2-222-2-2000000000000000000002222-2-222222222-2-2-2-222-2-200000000000000000000
χ1122-2-20022-2-222-2-200002i−2i0022−2−2−i2−i2i2i200000000000022-2-20022-2-222-2-200002i−2i0022−2−2−i2−i2i2i2000000000000
χ1222-2-20022-2-222-2-200002i−2i00−2−222i2i2−i2−i200000000000022-2-20022-2-222-2-200002i−2i00−2−222i2i2−i2−i2000000000000
χ1322-2-20022-2-222-2-20000−2i2i0022−2−2i2i2−i2−i200000000000022-2-20022-2-222-2-20000−2i2i0022−2−2i2i2−i2−i2000000000000
χ1422-2-20022-2-222-2-20000−2i2i00−2−222−i2−i2i2i200000000000022-2-20022-2-222-2-20000−2i2i00−2−222−i2−i2i2i2000000000000
χ152-22-22i−2i2222-2-2-2-22i2i−2i−2i00002−22−2−i2i2−i2i20000000000002-22-22i−2i2222-2-2-2-22i2i−2i−2i00002−22−2−i2i2−i2i2000000000000
χ162-22-22i−2i2222-2-2-2-22i2i−2i−2i0000−22−22i2−i2i2−i20000000000002-22-22i−2i2222-2-2-2-22i2i−2i−2i0000−22−22i2−i2i2−i2000000000000
χ172-22-2−2i2i2222-2-2-2-2−2i−2i2i2i00002−22−2i2−i2i2−i20000000000002-22-2−2i2i2222-2-2-2-2−2i−2i2i2i00002−22−2i2−i2i2−i2000000000000
χ182-22-2−2i2i2222-2-2-2-2−2i−2i2i2i0000−22−22−i2i2−i2i20000000000002-22-2−2i2i2222-2-2-2-2−2i−2i2i2i0000−22−22−i2i2−i2i2000000000000
χ192-2-220022-2-2-2-2220000002-200002-2-220000000000002-2-220022-2-2-2-2220000002-200002-2-22000000000000
χ202-2-220022-2-2-2-2220000002-20000-222-20000000000002-2-220022-2-2-2-2220000002-20000-222-2000000000000
χ212-2-220022-2-2-2-222000000-222-2-2200000000000000002-2-220022-2-2-2-222000000-222-2-220000000000000000
χ222-2-220022-2-2-2-222000000-22-222-200000000000000002-2-220022-2-2-2-222000000-22-222-20000000000000000
χ234444441-21-21-21-21-21-2000000000000020200-1-100-1-14444441-21-21-21-21-21-2000000000000020200-1-100-1-1
χ244444441-21-21-21-21-21-20000000000000-20-2001100114444441-21-21-21-21-21-20000000000000-20-200110011
χ25444444-21-21-21-21-21-210000000000002020-1-100-1-100444444-21-21-21-21-21-210000000000002020-1-100-1-100
χ26444444-21-21-21-21-21-21000000000000-20-2011001100444444-21-21-21-21-21-21000000000000-20-2011001100
χ274444-4-41-21-21-21-2-12-12000000000000020-200-1-100114444-4-41-21-21-21-2-12-12000000000000020-200-1-10011
χ284444-4-41-21-21-21-2-12-120000000000000-202001100-1-14444-4-41-21-21-21-2-12-120000000000000-202001100-1-1
χ294444-4-4-21-21-21-212-12-100000000000020-20-1-10011004444-4-4-21-21-21-212-12-100000000000020-20-1-1001100
χ304444-4-4-21-21-21-212-12-1000000000000-20201100-1-1004444-4-4-21-21-21-212-12-1000000000000-20201100-1-100
χ314-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000−i3i3003−34-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000−i3i3003−3
χ324-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000i3−i300−334-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000i3−i300−33
χ334-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000−i3i3003−3004-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000−i3i3003−300
χ344-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000i3−i300−33004-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000i3−i300−3300
χ354-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000−i3i300−334-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000−i3i300−33
χ364-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000i3−i3003−34-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000i3−i3003−3
χ374-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000−i3i300−33004-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000−i3i300−3300
χ384-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000i3−i3003−3004-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000i3−i3003−300
χ3988-8-8002-4-242-4-24000000000000000000000000000088-8-8002-4-242-4-240000000000000000000000000000
χ4088-8-800-424-2-424-2000000000000000000000000000088-8-800-424-2-424-20000000000000000000000000000
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
χ451111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111
χ461111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ51222222222222222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ522222-2-222222222-2-2-2-222-2-200000000000000000000-2-2-2-222-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ5322-2-20022-2-222-2-200002i−2i0022−2−2−i2−i2i2i2000000000000-2-22200-2-222-2-2220000−2i2i00−2−222i2i2−i2−i2000000000000
χ5422-2-20022-2-222-2-200002i−2i00−2−222i2i2−i2−i2000000000000-2-22200-2-222-2-2220000−2i2i0022−2−2−i2−i2i2i2000000000000
χ5522-2-20022-2-222-2-20000−2i2i0022−2−2i2i2−i2−i2000000000000-2-22200-2-222-2-22200002i−2i00−2−222−i2−i2i2i2000000000000
χ5622-2-20022-2-222-2-20000−2i2i00−2−222−i2−i2i2i2000000000000-2-22200-2-222-2-22200002i−2i0022−2−2i2i2−i2−i2000000000000
χ572-22-22i−2i2222-2-2-2-22i2i−2i−2i00002−22−2−i2i2−i2i2000000000000-22-22−2i2i-2-2-2-22222−2i−2i2i2i0000−22−22i2−i2i2−i2000000000000
χ582-22-22i−2i2222-2-2-2-22i2i−2i−2i0000−22−22i2−i2i2−i2000000000000-22-22−2i2i-2-2-2-22222−2i−2i2i2i00002−22−2−i2i2−i2i2000000000000
χ592-22-2−2i2i2222-2-2-2-2−2i−2i2i2i00002−22−2i2−i2i2−i2000000000000-22-222i−2i-2-2-2-222222i2i−2i−2i0000−22−22−i2i2−i2i2000000000000
χ602-22-2−2i2i2222-2-2-2-2−2i−2i2i2i0000−22−22−i2i2−i2i2000000000000-22-222i−2i-2-2-2-222222i2i−2i−2i00002−22−2i2−i2i2−i2000000000000
χ612-2-220022-2-2-2-2220000002-200002-2-22000000000000-222-200-2-22222-2-2000000-220000-222-2000000000000
χ622-2-220022-2-2-2-2220000002-20000-222-2000000000000-222-200-2-22222-2-2000000-2200002-2-22000000000000
χ632-2-220022-2-2-2-222000000-222-2-220000000000000000-222-200-2-22222-2-20000002-2-222-20000000000000000
χ642-2-220022-2-2-2-222000000-22-222-20000000000000000-222-200-2-22222-2-20000002-22-2-220000000000000000
χ654444441-21-21-21-21-21-2000000000000020200-1-100-1-1-4-4-4-4-4-4-12-12-12-12-12-120000000000000-20-200110011
χ664444441-21-21-21-21-21-20000000000000-20-200110011-4-4-4-4-4-4-12-12-12-12-12-12000000000000020200-1-100-1-1
χ67444444-21-21-21-21-21-210000000000002020-1-100-1-100-4-4-4-4-4-42-12-12-12-12-12-1000000000000-20-2011001100
χ68444444-21-21-21-21-21-21000000000000-20-2011001100-4-4-4-4-4-42-12-12-12-12-12-10000000000002020-1-100-1-100
χ694444-4-41-21-21-21-2-12-12000000000000020-200-1-10011-4-4-4-444-12-12-12-121-21-20000000000000-202001100-1-1
χ704444-4-41-21-21-21-2-12-120000000000000-202001100-1-1-4-4-4-444-12-12-12-121-21-2000000000000020-200-1-10011
χ714444-4-4-21-21-21-212-12-100000000000020-20-1-1001100-4-4-4-4442-12-12-12-1-21-21000000000000-20201100-1-100
χ724444-4-4-21-21-21-212-12-1000000000000-20201100-1-100-4-4-4-4442-12-12-12-1-21-2100000000000020-20-1-1001100
χ734-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000−i3i3003−3-44-44−4i4i-12-121-21-2−i2ii−2i000000000000000000i3−i300−33
χ744-44-44i−4i1-21-2-12-12i−2i−i2i000000000000000000i3−i300−33-44-44−4i4i-12-121-21-2−i2ii−2i000000000000000000−i3i3003−3
χ754-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000−i3i3003−300-44-44−4i4i2-12-1-21-212i−i−2ii0000000000000000i3−i300−3300
χ764-44-44i−4i-21-212-12-1−2ii2i−i0000000000000000i3−i300−3300-44-44−4i4i2-12-1-21-212i−i−2ii0000000000000000−i3i3003−300
χ774-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000−i3i300−33-44-444i−4i-12-121-21-2i−2i−i2i000000000000000000i3−i3003−3
χ784-44-4−4i4i1-21-2-12-12−i2ii−2i000000000000000000i3−i3003−3-44-444i−4i-12-121-21-2i−2i−i2i000000000000000000−i3i300−33
χ794-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000−i3i300−3300-44-444i−4i2-12-1-21-21−2ii2i−i0000000000000000i3−i3003−300
χ804-44-4−4i4i-21-212-12-12i−i−2ii0000000000000000i3−i3003−300-44-444i−4i2-12-1-21-21−2ii2i−i0000000000000000−i3i300−3300
χ8188-8-8002-4-242-4-240000000000000000000000000000-8-88800-242-4-242-40000000000000000000000000000
χ8288-8-800-424-2-424-20000000000000000000000000000-8-888004-2-424-2-420000000000000000000000000000
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).