Finite Group Databasebeta

← Group #10848705

Character table — Group #10848705

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222244444444444444444444444444444444444466668888121212121212121212121212121216161616161616161616242424244848
order122222223444444444444666666688888888121212121212121212121212242424242424242424242424242424244444444422444488888888441212121212121212222222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ9111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111-111-1-111-1-1-1-111-11
χ12111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-111-1-1-11
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-111-1-1111-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ172222222222222-2-2-2-2-2-2-2-2222222200000000-2-22222-2-2-2-2-2-2000000000000000022220000-2-2-2-222000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222200000000-2-22222-2-2-2-2-2-20000000000000000-2-2-2-200002222-2-2000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-2222222200000000-2-2-2-2-2-22222-2-200000000000000002222000022-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-22222-2-2-2-2222222200000000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-20000-2-22222000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-1222222222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-211111111000000
χ2322222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000222200000000000000-2-21111-1-1-1-1000000
χ2422222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000-2-2-2-20000000000000022-1-1-1-11111000000
χ2522222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111000022-2-2000000000000002-2-1-111-1-111000000
χ2622222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000-2-22200000000000000-2211-1-111-1-1000000
χ2722222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-1000022-2-200000000000000-2211-1-1-1-111000000
χ2822222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-10000-2-222000000000000002-2-1-11111-1-1000000
χ29222-22-2-2-22000000002-22-222-22-2-2-2000022-2-22-2000000002-2000000002222-2-2-2-22i2i−2i−2i0000002i−2i0000002i2i−2i−2i0000000000000000
χ30222-22-2-2-22000000002-22-222-22-2-2-2000022-2-22-2000000002-2000000002222-2-2-2-2−2i−2i2i2i000000−2i2i000000−2i−2i2i2i0000000000000000
χ31222-22-2-2-22000000002-22-222-22-2-2-20000-2-2222-2000000002-200000000-2-2-2-222222i2i−2i−2i0000002i−2i000000−2i−2i2i2i0000000000000000
χ32222-22-2-2-22000000002-22-222-22-2-2-20000-2-2222-2000000002-200000000-2-2-2-22222−2i−2i2i2i000000−2i2i0000002i2i−2i−2i0000000000000000
χ33222-22-2-2-2200000000-22-2222-22-2-2-222-2-20000-2200000000-222222-2-2-2-2000000002i2i−2i−2i000000−2i2i002i2i−2i−2i00000000000000000000
χ34222-22-2-2-2200000000-22-2222-22-2-2-222-2-20000-2200000000-222222-2-2-2-200000000−2i−2i2i2i0000002i−2i00−2i−2i2i2i00000000000000000000
χ35222-22-2-2-2200000000-22-2222-22-2-2-2-2-2220000-2200000000-22-2-2-2-22222000000002i2i−2i−2i000000−2i2i00−2i−2i2i2i00000000000000000000
χ36222-22-2-2-2200000000-22-2222-22-2-2-2-2-2220000-2200000000-22-2-2-2-2222200000000−2i−2i2i2i0000002i−2i002i2i−2i−2i00000000000000000000
χ3722-22-22-2-2222-2-2000000002-22-22-2-22−22−22−22−20022-2-200000022−2−222−2−222−2−222−2−22i−2i2i−2i000000002i−2i−i2i2−i2i2−i2i2−i2i20000000000000000
χ3822-22-22-2-2222-2-2000000002-22-22-2-22−22−22−22−20022-2-200000022−2−222−2−222−2−222−2−2−2i2i−2i2i00000000−2i2ii2−i2i2−i2i2−i2i2−i20000000000000000
χ3922-22-22-2-2222-2-2000000002-22-22-2-2−22−22−22−220022-2-2000000−2−222−2−222−2−222−2−2222i−2i2i−2i000000002i−2ii2−i2i2−i2i2−i2i2−i20000000000000000
χ4022-22-22-2-2222-2-2000000002-22-22-2-2−22−22−22−220022-2-2000000−2−222−2−222−2−222−2−222−2i2i−2i2i00000000−2i2i−i2i2−i2i2−i2i2−i2i20000000000000000
χ4122-22-22-2-22-2-222000000002-22-22-2-22−22−2−22−2200-2-22200000022−2−222−2−2−2−222−2−2222i−2i2i−2i00000000−2i2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ4222-22-22-2-22-2-222000000002-22-22-2-22−22−2−22−2200-2-22200000022−2−222−2−2−2−222−2−222−2i2i−2i2i000000002i−2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ4322-22-22-2-22-2-222000000002-22-22-2-2−22−222−22−200-2-222000000−2−222−2−22222−2−222−2−22i−2i2i−2i00000000−2i2ii2−i2i2−i2−i2i2−i2i20000000000000000
χ4422-22-22-2-22-2-222000000002-22-22-2-2−22−222−22−200-2-222000000−2−222−2−22222−2−222−2−2−2i2i−2i2i000000002i−2i−i2i2−i2i2i2−i2i2−i20000000000000000
χ4522-2-2-2-2222000022-2-200002-2-2-2-2222−2−222−2−2200000022-2-20022−2−2−2−22222−2−2−2−2222-2-2200002-20000−222−2−222−20000000000000000
χ4622-2-2-2-2222000022-2-200002-2-2-2-2222−2−222−2−2200000022-2-20022−2−2−2−22222−2−2−2−222-222-20000-2200002−2−222−2−220000000000000000
χ4722-2-2-2-2222000022-2-200002-2-2-2-222−222−2−222−200000022-2-200−2−22222−2−2−2−22222−2−22-2-2200002-200002−2−222−2−220000000000000000
χ4822-2-2-2-2222000022-2-200002-2-2-2-222−222−2−222−200000022-2-200−2−22222−2−2−2−22222−2−2-222-20000-220000−222−2−222−20000000000000000
χ4922-2-2-2-22220000-2-22200002-2-2-2-2222−2−22−222−2000000-2-2220022−2−2−2−222−2−22222−2−22-2-220000-220000−222−22−2−220000000000000000
χ5022-2-2-2-22220000-2-22200002-2-2-2-2222−2−22−222−2000000-2-2220022−2−2−2−222−2−22222−2−2-222-200002-200002−2−22−222−20000000000000000
χ5122-2-2-2-22220000-2-22200002-2-2-2-222−222−22−2−22000000-2-22200−2−22222−2−222−2−2−2−2222-2-220000-2200002−2−22−222−20000000000000000
χ5222-2-2-2-22220000-2-22200002-2-2-2-222−222−22−2−22000000-2-22200−2−22222−2−222−2−2−2−222-222-200002-20000−222−22−2−220000000000000000
χ532-2-2-222-2222-22-22-22-222-2-2-2-2-222-2200000000-2-22-22-22-22-2220000000000000000000000000000000000000000000000002-22-200
χ542-2-2-222-2222-22-22-22-222-2-2-2-2-222-2200000000-2-22-22-22-22-222000000000000000000000000000000000000000000000000-22-2200
χ552-2-2-222-2222-22-2-22-22-2-222-2-2-222-2200000000222-22-2-22-22-2-2000000000000000000002-22-2000000000000000000002-22-2000000
χ562-2-2-222-2222-22-2-22-22-2-222-2-2-222-2200000000222-22-2-22-22-2-200000000000000000000-22-2200000000000000000000-22-22000000
χ572-2-2-222-222-22-222-22-2-2-222-2-2-222-220000000022-22-222-22-2-2-2000000000000000000002-2-22000000000000000000002-2-22000000
χ582-2-2-222-222-22-222-22-2-2-222-2-2-222-220000000022-22-222-22-2-2-200000000000000000000-222-200000000000000000000-222-2000000
χ592-2-2-222-222-22-22-22-2222-2-2-2-2-222-2200000000-2-2-22-22-22-22220000000000000000000000000000000000000000000000002-2-2200
χ602-2-2-222-222-22-22-22-2222-2-2-2-2-222-2200000000-2-2-22-22-22-2222000000000000000000000000000000000000000000000000-222-200
χ612-2-2-222-22-12-22-2-22-22-2-222111-1-11-100000000-1-1-11-111-11-1113−33−33−33−33−33−33−33−300002-22-200000000000000003−33−3-11-11000000
χ622-2-2-222-22-12-22-2-22-22-2-222111-1-11-100000000-1-1-11-111-11-1113−33−33−33−33−33−33−33−30000-22-220000000000000000−33−331-11-1000000
χ632-2-2-222-22-12-22-2-22-22-2-222111-1-11-100000000-1-1-11-111-11-111−33−33−33−33−33−33−33−3300002-22-20000000000000000−33−33-11-11000000
χ642-2-2-222-22-12-22-2-22-22-2-222111-1-11-100000000-1-1-11-111-11-111−33−33−33−33−33−33−33−330000-22-2200000000000000003−33−31-11-1000000
χ652-2-2-222-22-1-22-222-22-2-2-222111-1-11-100000000-1-11-11-1-11-11113−33−33−33−3−33−33−33−3300002-2-2200000000000000003−3−33-111-1000000
χ662-2-2-222-22-1-22-222-22-2-2-222111-1-11-100000000-1-11-11-1-11-11113−33−33−33−3−33−33−33−330000-222-20000000000000000−333−31-1-11000000
χ672-2-2-222-22-1-22-222-22-2-2-222111-1-11-100000000-1-11-11-1-11-1111−33−33−33−333−33−33−33−300002-2-220000000000000000−333−3-111-1000000
χ682-2-2-222-22-1-22-222-22-2-2-222111-1-11-100000000-1-11-11-1-11-1111−33−33−33−333−33−33−33−30000-222-200000000000000003−3−331-1-11000000
χ6944444444-24444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-20000000022-2-2-2-2222222000000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-44444-4-4-4-4-2-2-2-2-2-2-200000000222222-2-2-2-222000000000000000000000000000000000000000000000000000000
χ71444-44-4-4-4-2000000004-44-4-2-22-2222000044-4-4-2200000000-2200000000-2-2-2-2222200000000000000000000000000000000000000
χ72444-44-4-4-4-2000000004-44-4-2-22-22220000-4-444-2200000000-22000000002222-2-2-2-200000000000000000000000000000000000000
χ73444-44-4-4-4-200000000-44-44-2-22-222244-4-400002-2000000002-2-2-2-2-222220000000000000000000000000000000000000000000000
χ74444-44-4-4-4-200000000-44-44-2-22-2222-4-44400002-2000000002-22222-2-2-2-20000000000000000000000000000000000000000000000
χ7544-44-44-4-4-244-4-400000000-22-22-22222−2222−2222−2222−2200-2-222000000−2−222−2−222−2−222−2−22200000000000000000000000000000000000000
χ7644-44-44-4-4-244-4-400000000-22-22-222−2222−2222−2222−222200-2-22200000022−2−222−2−222−2−222−2−200000000000000000000000000000000000000
χ7744-44-44-4-4-2-4-44400000000-22-22-22222−2222−22−2222−22220022-2-2000000−2−222−2−22222−2−222−2−200000000000000000000000000000000000000
χ7844-44-44-4-4-2-4-44400000000-22-22-222−2222−222222−2222−220022-2-200000022−2−222−2−2−2−222−2−22200000000000000000000000000000000000000
χ7944-4-4-4-444-2000044-4-40000-22222-2-222−22−222222−22−2222000000-2-22200−2−22222−2−2−2−22222−2−200000000000000000000000000000000000000
χ8044-4-4-4-444-2000044-4-40000-22222-2-2−222222−22−222222−22000000-2-2220022−2−2−2−22222−2−2−2−22200000000000000000000000000000000000000
χ8144-4-4-4-444-20000-4-4440000-22222-2-222−22−2222−222222−2200000022-2-200−2−22222−2−222−2−2−2−22200000000000000000000000000000000000000
χ8244-4-4-4-444-20000-4-4440000-22222-2-2−222222−2222−22−222200000022-2-20022−2−2−2−222−2−22222−2−200000000000000000000000000000000000000
χ834-444-4-4-44400004-4-440000-444-4-4-44000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ844-444-4-4-4440000-444-40000-444-4-4-4400000000000000-444-400000000000000000000000000000000000000000000000000000000
χ854-444-4-4-44-200004-4-4400002-2-2222-200000000000000-222-2006−6−66−666−6−666−66−6−6600000000000000000000000000000000000000
χ864-444-4-4-44-200004-4-4400002-2-2222-200000000000000-222-200−666−66−6−666−6−66−666−600000000000000000000000000000000000000
χ874-444-4-4-44-20000-444-400002-2-2222-2000000000000002-2-22006−6−66−666−66−6−66−666−600000000000000000000000000000000000000
χ884-444-4-4-44-20000-444-400002-2-2222-2000000000000002-2-2200−666−66−6−66−666−66−6−6600000000000000000000000000000000000000
χ894-44-4-444-444-4-4400000000-44-4-444-400000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ904-44-4-444-44-444-400000000-44-4-444-40000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-4-24-4-44000000002-222-2-220000000000-222-20000006−6−666−6−666−6−666−6−6600000000000000000000000000000000000000
χ924-44-4-444-4-24-4-44000000002-222-2-220000000000-222-2000000−666−6−666−6−666−6−666−600000000000000000000000000000000000000
χ934-44-4-444-4-2-444-4000000002-222-2-2200000000002-2-220000006−6−666−6−66−666−6−666−600000000000000000000000000000000000000
χ944-44-4-444-4-2-444-4000000002-222-2-2200000000002-2-22000000−666−6−666−66−6−666−6−6600000000000000000000000000000000000000
χ954-4-444-44-44000000004-4-44-4-444-44-400000000-44000000004-4000000000000000000000000000000000000000000000000000000
χ964-4-444-44-4400000000-444-4-4-444-44-4000000004-400000000-44000000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-2000000004-4-4422-2-22-22000000002-200000000-2223−2323−23−2323−23230000000000000000000000000000000000000000000000
χ984-4-444-44-4-2000000004-4-4422-2-22-22000000002-200000000-22−2323−232323−2323−230000000000000000000000000000000000000000000000
χ994-4-444-44-4-200000000-444-422-2-22-2200000000-22000000002-20000000023−2323−23−2323−232300000000000000000000000000000000000000
χ1004-4-444-44-4-200000000-444-422-2-22-2200000000-22000000002-200000000−2323−232323−2323−2300000000000000000000000000000000000000
χ1014-4-4-444-44-24-44-44-44-444-4-4222-2-22-20000000022-22-22-22-22-2-2000000000000000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-44-44-44-4444-4-4222-2-22-200000000222-22-22-22-2-2-2000000000000000000000000000000000000000000000000000000

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