Finite Group Databasebeta

← Group #72342510

Character table — Group #72342510

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222224444444444444448888888888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232
order122222444444888822224448888888822444488888888888888816161616161616162244888888881616161616161616161616162244888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111111111111-1-1111-1-111-1-1111-111-1-11-111-1-1-11111-1-1-1-1111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1111-1-111-1-1111-111-1-11-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ7111111111111111111-1-1111-1-111-1-1111-111-1-11-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111-1-1111-1-111-1-1111-111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-11111111111-1-1-1-1-1-111
χ91111111111111111-1-111111-1-111-1-111-11-1-1111-1-1-111-11111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ101111111111111111-1-111111-1-111-1-111-11-1-1111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1111111-1-111-1-111
χ111111111111111111-1-111111-1-111-1-111-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ121111111111111111-1-111111-1-111-1-111-11-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1-11111-1-111-1-111-1-1
χ131111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1
χ141111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ151111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ161111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ171111-1-111-111-1-1-1-1-11111-11-1-1-11111-1-1-1-11-11-111-1-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1-11-1i−i11ii−i−iii−i−iii−i−iii−i−i1-11-11-1i−ii−i
χ181111-1-111-111-1-1-1-1-11111-11-1-1-11111-1-1-1-11-11-111-1-1-1-1-1ii−i−i11-1-1−i−i−i−iiiii-11-11i−i11ii−i−i−i−iii−i−iii−i−iii-11-11-11i−ii−i
χ191111-1-111-111-1-1-1-1-11111-11-1-1-11111-1-1-1-11-11-111-1-1-1-1-1−i−iii11-1-1iiii−i−i−i−i-11-11−ii11−i−iiiii−i−iii−i−iii−i−i-11-11-11−ii−ii
χ201111-1-111-111-1-1-1-1-11111-11-1-1-11111-1-1-1-11-11-111-1-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1-11-1−ii11−i−iii−i−iii−i−iii−i−iii1-11-11-1−ii−ii
χ211111-1-111-111-1-1-1-1-111-1-1-11-11111-1-1-1-1-111-1-111-1-1-1111ii−i−i-1-111iiii−i−i−i−i1-11-1i−i1-1−i−iiiii−i−i−i−iii−i−iii1-1-11-11i−i−ii
χ221111-1-111-111-1-1-1-1-111-1-1-11-11111-1-1-1-1-111-1-111-1-1-1111ii−i−i-1-111−i−i−i−iiiii-11-11i−i1-1−i−iii−i−iiiii−i−iii−i−i-111-11-1i−i−ii
χ231111-1-111-111-1-1-1-1-111-1-1-11-11111-1-1-1-1-111-1-111-1-1-1111−i−iii-1-111iiii−i−i−i−i-11-11−ii1-1ii−i−iii−i−i−i−iii−i−iii-111-11-1−iii−i
χ241111-1-111-111-1-1-1-1-111-1-1-11-11111-1-1-1-1-111-1-111-1-1-1111−i−iii-1-111−i−i−i−iiiii1-11-1−ii1-1ii−i−i−i−iiiii−i−iii−i−i1-1-11-11−iii−i
χ251111-1-111-111-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-111-11-111-1-11ii−i−i-1-111iiii−i−i−i−i1-11-1i−i-11−i−iii−i−iiiii−i−i−i−iii-111-1-11−iii−i
χ261111-1-111-111-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-111-11-111-1-11ii−i−i-1-111−i−i−i−iiiii-11-11i−i-11−i−iiiii−i−i−i−iiiii−i−i1-1-111-1−iii−i
χ271111-1-111-111-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-111-11-111-1-11−i−iii-1-111iiii−i−i−i−i-11-11−ii-11ii−i−i−i−iiiii−i−i−i−iii1-1-111-1i−i−ii
χ281111-1-111-111-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-111-11-111-1-11−i−iii-1-111−i−i−i−iiiii1-11-1−ii-11ii−i−iii−i−i−i−iiiii−i−i-111-1-11i−i−ii
χ291111-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-11111111-1ii−i−i11-1-1iiii−i−i−i−i1-11-1i−i-1-1ii−i−i−i−iii−i−iiiii−i−i-11-111-1−ii−ii
χ301111-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-11111111-1ii−i−i11-1-1−i−i−i−iiiii-11-11i−i-1-1ii−i−iii−i−iii−i−i−i−iii1-11-1-11−ii−ii
χ311111-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-11111111-1−i−iii11-1-1iiii−i−i−i−i-11-11−ii-1-1−i−iii−i−iii−i−iiiii−i−i1-11-1-11i−ii−i
χ321111-1-111-111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-11111111-1−i−iii11-1-1−i−i−i−iiiii1-11-1−ii-1-1−i−iiiii−i−iii−i−i−i−iii-11-111-1i−ii−i
χ33222222222222-2-2-2-2222222222-2-222-2-2222222-22-2-2-2-220000-2-2-2-200000000000000-2-200000000000000000000000000
χ34222222222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-22-222-2-2-2-2-2-222-20000222200000000000000-2200000000000000000000000000
χ35222222222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-2-200002222000000000000002-200000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-22222220000-2-2-2-2000000000000002200000000000000000000000000
χ372222222-222-2222220000-2-2-2002200-2-2000000-20000002222000022-2-222-2-222-2-2-2-20000000000000000000000000000
χ382222222-222-2222220000-2-2-2002200-2-2000000-200000022220000-2-222-2-222-2-222-2-20000000000000000000000000000
χ392222222-222-2222220000-2-2-2002200-2-2000000-2000000-2-2-2-2000022-2-222-2-2-2-222220000000000000000000000000000
χ402222222-222-2222220000-2-2-2002200-2-2000000-2000000-2-2-2-20000-2-222-2-22222-2-2220000000000000000000000000000
χ41222222-22-2-22-2000022222-2-2-2-200220022-2-2-2-20-20000200000000i2−i2i2−i2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000
χ42222222-22-2-22-2000022222-2-2-2-200220022-2-2-2-20-20000200000000−i2i2−i2i2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000
χ43222222-22-2-22-2000022-2-22-2-22200-2-2002-2-2-222020000-200000000i2−i2i2−i2i2−i2i2−i2000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000
χ44222222-22-2-22-2000022-2-22-2-22200-2-2002-2-2-222020000-200000000−i2i2−i2i2−i2i2−i2i2000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000
χ45222222-22-2-22-20000-2-2222-2-22200-2-200-2222-2-2020000-200000000i2−i2i2−i2i2−i2i2−i2000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ46222222-22-2-22-20000-2-2222-2-22200-2-200-2222-2-2020000-200000000−i2i2−i2i2−i2i2−i2i2000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ47222222-22-2-22-20000-2-2-2-22-2-2-2-2002200-2-222220-20000200000000i2−i2i2−i2i2−i2i2−i2000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000
χ48222222-22-2-22-20000-2-2-2-22-2-2-2-2002200-2-222220-20000200000000−i2i2−i2i2−i2i2−i2i2000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000
χ492222-2-222-222-222222222-22-2-2-2-2-22222-2-22-22-2-222222-20000-2-22200000000000000-2-200000000000000000000000000
χ502222-2-222-222-2222222-2-2-22-222-2-2-2-222-222-2-22-2-222-2-22000022-2-200000000000000-2200000000000000000000000000
χ512222-2-222-222-22222-2-222-22-222-2-2-2-2222-2-222-2-2-2-2-2222000022-2-2000000000000002-200000000000000000000000000
χ522222-2-222-222-22222-2-2-2-2-22-2-2-2-2-2222222-22-22-22-2-2-2-2-20000-2-222000000000000002200000000000000000000000000
χ532222-2-22-2-22-2-2-2-2-2-200002-2200220022000000-20000002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i2-2-22−2i2i0000000000000000000000000000
χ542222-2-22-2-22-2-2-2-2-2-200002-2200220022000000-20000002i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i-222-2−2i2i0000000000000000000000000000
χ552222-2-22-2-22-2-2-2-2-2-200002-2200220022000000-2000000−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i-222-22i−2i0000000000000000000000000000
χ562222-2-22-2-22-2-2-2-2-2-200002-2200220022000000-2000000−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i2-2-222i−2i0000000000000000000000000000
χ572222-2-2-222-22200002222-2-2222002200-2-2-22-220-20000-2000000002−22−2−22−220000000000002−2−222−2−222−2−220000000000
χ582222-2-2-222-22200002222-2-2222002200-2-2-22-220-20000-200000000−22−222−22−2000000000000−222−2−222−2−222−20000000000
χ592222-2-2-222-222000022-2-2-2-22-2-200-2-200-22-222-20200002000000002−22−2−22−220000000000002−2−22−222−2−222−20000000000
χ602222-2-2-222-222000022-2-2-2-22-2-200-2-200-22-222-2020000200000000−22−222−22−2000000000000−222−22−2−222−2−220000000000
χ612222-2-2-222-2220000-2-222-2-22-2-200-2-2002-22-2-220200002000000002−22−2−22−22000000000000−222−22−2−22−222−20000000000
χ622222-2-2-222-2220000-2-222-2-22-2-200-2-2002-22-2-22020000200000000−22−222−22−20000000000002−2−22−222−22−2−220000000000
χ632222-2-2-222-2220000-2-2-2-2-2-2222002200222-22-20-20000-2000000002−22−2−22−22000000000000−222−2−222−22−2−220000000000
χ642222-2-2-222-2220000-2-2-2-2-2-2222002200222-22-20-20000-200000000−22−222−22−20000000000002−2−222−2−22−222−20000000000
χ654444444-444-44-4-4-4-40000-4-4-400-4-40044000000400000000000000000000000000000000000000000000000000000000
χ66444444-4-4-4-4-4-400000000-444000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ67444444-4-4-4-4-4-400000000-44400000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ684444-4-44-4-44-4-4444400004-4400-4-400-4-4000000400000000000000000000000000000000000000000000000000000000
χ694444-4-4-4-44-4-440000000044-40000000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000
χ704444-4-4-4-44-4-440000000044-400000000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000
χ714-44-44-4-40440-444-4-40000000004-4000000000000000000000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ724-44-44-4-40440-444-4-40000000004-400000000000000000000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ734-44-44-4-40440-4-4-444000000000-44000000000000000004i−4i4i−4i0000000000000000000000000000000000000000000000
χ744-44-44-4-40440-4-4-444000000000-4400000000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000
χ754-44-4-44-40-440444-4-4000000000-44000000000000000004-4-440000000000000000000000000000000000000000000000
χ764-44-4-44-40-440444-4-4000000000-4400000000000000000-444-40000000000000000000000000000000000000000000000
χ774-44-4-44-40-4404-4-4440000000004-40000000000000000000000000000000000000000022−22−22220000000000000000000000
χ784-44-4-44-40-4404-4-4440000000004-400000000000000000000000000000000000000000−222222−220000000000000000000000
χ794-4-44000-4004022−2222−224-44-400000004-422−220000000022−2222−22000000022−22000000000000000000000000000000000000000000
χ804-4-44000-4004022−2222−224-4-440000000-4422−220000000022−22−22220000000−2222000000000000000000000000000000000000000000
χ814-4-44000-4004022−2222−22-444-40000000-4422−2200000000−222222−220000000−2222000000000000000000000000000000000000000000
χ824-4-44000-4004022−2222−22-44-4400000004-422−2200000000−2222−2222000000022−22000000000000000000000000000000000000000000
χ834-4-44000-40040−2222−22224-44-400000004-4−222200000000−2222−22220000000−2222000000000000000000000000000000000000000000
χ844-4-44000-40040−2222−22224-4-440000000-44−222200000000−222222−22000000022−22000000000000000000000000000000000000000000
χ854-4-44000-40040−2222−2222-444-40000000-44−22220000000022−22−2222000000022−22000000000000000000000000000000000000000000
χ864-4-44000-40040−2222−2222-44-4400000004-4−22220000000022−2222−220000000−2222000000000000000000000000000000000000000000
χ8788-8-80000000042−42−424200000004i2−4i2000000000000000000000004i−4i00000000000000000000000000000000000000000000
χ8888-8-80000000042−42−42420000000−4i24i200000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ8988-8-800000000−424242−4200000004i2−4i200000000000000000000000−4i4i00000000000000000000000000000000000000000000
χ9088-8-800000000−424242−420000000−4i24i2000000000000000000000004i−4i00000000000000000000000000000000000000000000
χ918-88-88-880-8-8080000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-88808-80-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88000800-8042−4242−420000000000000−4242000000000000000000000000000000000000000000000000000000000000000
χ948-8-88000800-80−4242−4242000000000000042−42000000000000000000000000000000000000000000000000000000000000000

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