Finite Group Databasebeta

← Group #11874932

Character table — Group #11874932

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122444444448888181818181818181818181818242424242424242424242424111122444444448888181818181818181818181818242424242424242424242424
order122244336666661212121244448888888844441212121212121212222244666666661212121244448888888844441212121212121212
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
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ71111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
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
χ1122-2-2002222-2-2-2-20000002-2000022-2-200000000000022-2-2002222-2-2-2-20000002-2000022-2-2000000000000
χ1222-2-2002222-2-2-2-20000002-20000-2-22200000000000022-2-2002222-2-2-2-20000002-20000-2-222000000000000
χ1322-2-2002222-2-2-2-2000000-2222-2-2000000000000000022-2-2002222-2-2-2-2000000-2222-2-20000000000000000
χ1422-2-2002222-2-2-2-2000000-22-2-222000000000000000022-2-2002222-2-2-2-2000000-22-2-2220000000000000000
χ152-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i20000000000002-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i2000000000000
χ162-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i20000000000002-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i2000000000000
χ172-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i20000000000002-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i2000000000000
χ182-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i20000000000002-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i2000000000000
χ192-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i2000000000000
χ202-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i20000000000002-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i2000000000000
χ212-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i2000000000000
χ222-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i20000000000002-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i2000000000000
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
χ274444-4-41-21-21-21-2-12-12000000000000020-2001100-1-14444-4-41-21-21-21-2-12-12000000000000020-2001100-1-1
χ284444-4-41-21-21-21-2-12-120000000000000-20200-1-100114444-4-41-21-21-21-2-12-120000000000000-20200-1-10011
χ294444-4-4-21-21-21-212-12-100000000000020-201100-1-1004444-4-4-21-21-21-212-12-100000000000020-201100-1-100
χ304444-4-4-21-21-21-212-12-1000000000000-2020-1-10011004444-4-4-21-21-21-212-12-1000000000000-2020-1-1001100
χ314-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−34-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−3
χ324-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−334-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−33
χ334-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−3004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−300
χ344-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−33004-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−3300
χ354-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−334-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−33
χ364-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−34-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−3
χ374-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−33004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−3300
χ384-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−3004-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−300
χ3988-8-8002-42-4-24-24000000000000000000000000000088-8-8002-42-4-24-240000000000000000000000000000
χ4088-8-800-42-424-24-2000000000000000000000000000088-8-800-42-424-24-20000000000000000000000000000
χ418-88-8002-4-24-242-400000000000000000000000000008-88-8002-4-24-242-40000000000000000000000000000
χ428-88-800-424-24-2-4200000000000000000000000000008-88-800-424-24-2-420000000000000000000000000000
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
χ471111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ481111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ491111-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-111-1-1-1-111
χ501111-1-111111111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11-1-11111-1-1
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
χ5322-2-2002222-2-2-2-20000002-2000022-2-2000000000000-2-22200-2-2-2-22222000000-220000-2-222000000000000
χ5422-2-2002222-2-2-2-20000002-20000-2-222000000000000-2-22200-2-2-2-22222000000-22000022-2-2000000000000
χ5522-2-2002222-2-2-2-2000000-2222-2-20000000000000000-2-22200-2-2-2-222220000002-2-2-2220000000000000000
χ5622-2-2002222-2-2-2-2000000-22-2-2220000000000000000-2-22200-2-2-2-222220000002-222-2-20000000000000000
χ572-22-20022-2-2-2-22200002i−2i002−22−2−i2i2−i2i2000000000000-22-2200-2-22222-2-20000−2i2i00−22−22i2−i2i2−i2000000000000
χ582-22-20022-2-2-2-22200002i−2i00−22−22i2−i2i2−i2000000000000-22-2200-2-22222-2-20000−2i2i002−22−2−i2i2−i2i2000000000000
χ592-22-20022-2-2-2-2220000−2i2i002−22−2i2−i2i2−i2000000000000-22-2200-2-22222-2-200002i−2i00−22−22−i2i2−i2i2000000000000
χ602-22-20022-2-2-2-2220000−2i2i00−22−22−i2i2−i2i2000000000000-22-2200-2-22222-2-200002i−2i002−22−2i2−i2i2−i2000000000000
χ612-2-222i−2i22-2-222-2-22i2i−2i−2i00002−2−22−i2i2i2−i2000000000000-222-2−2i2i-2-222-2-222−2i−2i2i2i0000−222−2i2−i2−i2i2000000000000
χ622-2-222i−2i22-2-222-2-22i2i−2i−2i0000−222−2i2−i2−i2i2000000000000-222-2−2i2i-2-222-2-222−2i−2i2i2i00002−2−22−i2i2i2−i2000000000000
χ632-2-22−2i2i22-2-222-2-2−2i−2i2i2i00002−2−22i2−i2−i2i2000000000000-222-22i−2i-2-222-2-2222i2i−2i−2i0000−222−2−i2i2i2−i2000000000000
χ642-2-22−2i2i22-2-222-2-2−2i−2i2i2i0000−222−2−i2i2i2−i2000000000000-222-22i−2i-2-222-2-2222i2i−2i−2i00002−2−22i2−i2−i2i2000000000000
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
χ694444-4-41-21-21-21-2-12-12000000000000020-2001100-1-1-4-4-4-444-12-12-12-121-21-20000000000000-20200-1-10011
χ704444-4-41-21-21-21-2-12-120000000000000-20200-1-10011-4-4-4-444-12-12-12-121-21-2000000000000020-2001100-1-1
χ714444-4-4-21-21-21-212-12-100000000000020-201100-1-100-4-4-4-4442-12-12-12-1-21-21000000000000-2020-1-1001100
χ724444-4-4-21-21-21-212-12-1000000000000-2020-1-1001100-4-4-4-4442-12-12-12-1-21-2100000000000020-201100-1-100
χ734-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000−i3i3003−3-444-4−4i4i-121-2-121-2−i2ii−2i000000000000000000i3−i300−33
χ744-4-444i−4i1-2-121-2-12i−2i−i2i000000000000000000i3−i300−33-444-4−4i4i-121-2-121-2−i2ii−2i000000000000000000−i3i3003−3
χ754-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000−i3i3003−300-444-4−4i4i2-1-212-1-212i−i−2ii0000000000000000i3−i300−3300
χ764-4-444i−4i-212-1-212-1−2ii2i−i0000000000000000i3−i300−3300-444-4−4i4i2-1-212-1-212i−i−2ii0000000000000000−i3i3003−300
χ774-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000−i3i300−33-444-44i−4i-121-2-121-2i−2i−i2i000000000000000000i3−i3003−3
χ784-4-44−4i4i1-2-121-2-12−i2ii−2i000000000000000000i3−i3003−3-444-44i−4i-121-2-121-2i−2i−i2i000000000000000000−i3i300−33
χ794-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000−i3i300−3300-444-44i−4i2-1-212-1-21−2ii2i−i0000000000000000i3−i3003−300
χ804-4-44−4i4i-212-1-212-12i−i−2ii0000000000000000i3−i3003−300-444-44i−4i2-1-212-1-21−2ii2i−i0000000000000000−i3i300−3300
χ8188-8-8002-42-4-24-240000000000000000000000000000-8-88800-24-242-42-40000000000000000000000000000
χ8288-8-800-42-424-24-20000000000000000000000000000-8-888004-24-2-42-420000000000000000000000000000
χ838-88-8002-4-24-242-40000000000000000000000000000-88-8800-242-42-4-240000000000000000000000000000
χ848-88-800-424-24-2-420000000000000000000000000000-88-88004-2-42-424-20000000000000000000000000000

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