Finite Group Databasebeta

← Group #72250706

Character table — Group #72250706

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size1111222222222222224444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232
order1222222222444444448888888822444444888888881616161616161616161616161616161622224444444444888888161616161616161644888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1
χ5111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1
χ911111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ1111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1211111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ17111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1ii−i−i11-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−iii−i−iii−i−ii−i11-1-111-1-111-1-11-1i−ii−i1-1
χ18111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1ii−i−i11-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111i−i−i−iii−i−iiii−i-1-11111-1-111-1-1-11−ii−ii-11
χ19111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1ii−i−i11-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1i−i−i−iiiii−i−ii−i-1-111-1-111-1-111-11i−i−ii1-1
χ20111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1ii−i−i11-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111i−iii−i−i−i−iiii−i11-1-1-1-111-1-1111-1−iii−i-11
χ21111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1−i−iii11-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−iiii−i−i−i−iii−ii-1-111-1-111-1-111-11−iii−i1-1
χ22111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1−i−iii11-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111−ii−i−iiiii−i−i−ii11-1-1-1-111-1-1111-1i−i−ii-11
χ23111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1−i−iii11-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−i−iii−i−iii−ii11-1-111-1-111-1-11-1−ii−ii1-1
χ24111111-1-1-1-111-1-11-1-1111-1-1-111-11-11-1−i−iii11-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111−iiii−i−iii−i−i−ii-1-11111-1-111-1-1-11i−ii−i-11
χ25111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11ii−i−i-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1−iiii−i−iii−i−i−ii11-1-111-1-1-1-111-11−ii−ii-11
χ26111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11ii−i−i-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111−ii−i−iii−i−iii−ii-1-11111-1-1-1-1111-1i−ii−i1-1
χ27111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11ii−i−i-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−ii−i−iiiii−i−i−ii-1-111-1-11111-1-11-1−iii−i-11
χ28111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11ii−i−i-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iiii−i−i−i−iii−ii11-1-1-1-11111-1-1-11i−i−ii1-1
χ29111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11−i−iii-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1i−iii−i−i−i−iiii−i-1-111-1-11111-1-11-1i−i−ii-11
χ30111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11−i−iii-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−i−iiiii−i−ii−i11-1-1-1-11111-1-1-11−iii−i1-1
χ31111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11−i−iii-1-111−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1i−i−i−iii−i−iiii−i11-1-111-1-1-1-111-11i−ii−i-11
χ32111111-1-1-1-111-1-11-1-1111-1-1-111-1-11-11−i−iii-1-111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111i−iii−i−iii−i−ii−i-1-11111-1-1-1-1111-1−ii−ii1-1
χ33222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000002200000000-2-200000000000000000000
χ34222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000-2-2000000002200000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000-2-2000000002200000000000000000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000002200000000-2-200000000000000000000
χ37222222-2-2-2-222-2-22-2-22-2-2222-2-222-22-22i2i−2i−2i-2-222−2i−2i2i2i000000000000000000002i−2i00000000−2i2i00000000000000000000
χ38222222-2-2-2-222-2-22-2-22-2-2222-2-222-22-2−2i−2i2i2i-2-2222i2i−2i−2i00000000000000000000−2i2i000000002i−2i00000000000000000000
χ39222222-2-2-2-222-2-22-2-22-2-2222-2-22-22-222i2i−2i−2i22-2-2−2i−2i2i2i00000000000000000000−2i2i000000002i−2i00000000000000000000
χ40222222-2-2-2-222-2-22-2-22-2-2222-2-22-22-22−2i−2i2i2i22-2-22i2i−2i−2i000000000000000000002i−2i00000000−2i2i00000000000000000000
χ412222-2-22-22-22-22-222-2-2222-2-2-2-2200002i−2i2i−2i00002i−2i2i−2i22-2-222-2-200000000000000000000000000002i−2i2i−2i000000000000
χ422222-2-22-22-22-22-222-2-2222-2-2-2-2200002i−2i2i−2i00002i−2i2i−2i-2-222-2-2220000000000000000000000000000−2i2i−2i2i000000000000
χ432222-2-22-22-22-22-222-2-2222-2-2-2-220000−2i2i−2i2i0000−2i2i−2i2i22-2-222-2-20000000000000000000000000000−2i2i−2i2i000000000000
χ442222-2-22-22-22-22-222-2-2222-2-2-2-220000−2i2i−2i2i0000−2i2i−2i2i-2-222-2-22200000000000000000000000000002i−2i2i−2i000000000000
χ452222-2-22-22-22-22-222-2-2-2-2-22222-200002i−2i2i−2i0000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-200000000
χ462222-2-22-22-22-22-222-2-2-2-2-22222-200002i−2i2i−2i0000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-2200000000
χ472222-2-22-22-22-22-222-2-2-2-2-22222-20000−2i2i−2i2i00002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-2200000000
χ482222-2-22-22-22-22-222-2-2-2-2-22222-20000−2i2i−2i2i00002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-200000000
χ492222-2-2-22-222-2-222-22-222-222-2-2-200002-2-2200002-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−2i2i2i−2i000000000000
χ502222-2-2-22-222-2-222-22-222-222-2-2-200002-2-2200002-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002i−2i−2i2i000000000000
χ512222-2-2-22-222-2-222-22-222-222-2-2-20000-222-20000-222-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000002i−2i−2i2i000000000000
χ522222-2-2-22-222-2-222-22-222-222-2-2-20000-222-20000-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000−2i2i2i−2i000000000000
χ532222-2-2-22-222-2-222-22-2-2-22-2-222200002-2-220000-222-20000000022-2-2-2-2220000000000000000000000002-2-2200000000
χ542222-2-2-22-222-2-222-22-2-2-22-2-222200002-2-220000-222-200000000-2-22222-2-2000000000000000000000000-222-200000000
χ552222-2-2-22-222-2-222-22-2-2-22-2-22220000-222-200002-2-220000000022-2-2-2-222000000000000000000000000-222-200000000
χ562222-2-2-22-222-2-222-22-2-2-22-2-22220000-222-200002-2-2200000000-2-22222-2-20000000000000000000000002-2-2200000000
χ5722-2-22-222-2-2-2-2-2222-222-222-22-2-200000000000000002i−2i2i−2i2i−2i2i−2i000000002-22-2002i−2i2i−2i00000000000000000000000000
χ5822-2-22-222-2-2-2-2-2222-222-222-22-2-200000000000000002i−2i2i−2i2i−2i2i−2i00000000-22-2200−2i2i−2i2i00000000000000000000000000
χ5922-2-22-222-2-2-2-2-2222-222-222-22-2-20000000000000000−2i2i−2i2i−2i2i−2i2i000000002-22-200−2i2i−2i2i00000000000000000000000000
χ6022-2-22-222-2-2-2-2-2222-222-222-22-2-20000000000000000−2i2i−2i2i−2i2i−2i2i00000000-22-22002i−2i2i−2i00000000000000000000000000
χ6122-2-22-2-2-222-2-22-22-2222-2-2-222-2200000000000000002-22-2-22-22000000002-2-22002-2-2200000000000000000000000000
χ6222-2-22-2-2-222-2-22-22-2222-2-2-222-2200000000000000002-22-2-22-2200000000-222-200-222-200000000000000000000000000
χ6322-2-22-2-2-222-2-22-22-2222-2-2-222-220000000000000000-22-222-22-2000000002-2-2200-222-200000000000000000000000000
χ6422-2-22-2-2-222-2-22-22-2222-2-2-222-220000000000000000-22-222-22-200000000-222-2002-2-2200000000000000000000000000
χ6522-2-2-222-2-22-22-2-2222-22-22-22-22-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000002-22-2002i−2i2i−2i0000000000000000
χ6622-2-2-222-2-22-22-2-2222-22-22-22-22-200000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000-22-2200−2i2i−2i2i0000000000000000
χ6722-2-2-222-2-22-22-2-2222-22-22-22-22-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000002-22-200−2i2i−2i2i0000000000000000
χ6822-2-2-222-2-22-22-2-2222-22-22-22-22-20000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000-22-22002i−2i2i−2i0000000000000000
χ6922-2-2-22-222-2-22222-2-2-22-2-22-2-22200000000000000002-2-22-222-20000000000000000002i−2i−2i2i00−2i2i2i−2i0000000000000000
χ7022-2-2-22-222-2-22222-2-2-22-2-22-2-22200000000000000002-2-22-222-2000000000000000000−2i2i2i−2i002i−2i−2i2i0000000000000000
χ7122-2-2-22-222-2-22222-2-2-22-2-22-2-2220000000000000000-222-22-2-220000000000000000002i−2i−2i2i002i−2i−2i2i0000000000000000
χ7222-2-2-22-222-2-22222-2-2-22-2-22-2-2220000000000000000-222-22-2-22000000000000000000−2i2i2i−2i00−2i2i2i−2i0000000000000000
χ734444444444-4-4-4-4-4-4-4-400000000000000004i−4i4i−4i00000000000000000000000000000000000000000000000000000000
χ744444444444-4-4-4-4-4-4-4-40000000000000000−4i4i−4i4i00000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-4-4-444-444-400000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ76444444-4-4-4-4-4-444-444-40000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ774444-4-44-44-4-44-44-4-444000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ784444-4-44-44-4-44-44-4-44400000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ794444-4-4-44-44-444-4-44-440000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ804444-4-4-44-44-444-4-44-4400000000-4-4440000000000000000000000000000000000000000000000000000000000000000
χ8144-4-44-444-4-4444-4-4-44-40000000000000000000000000000000022−2222−2222−2222−22000000000000000000000000000000000000
χ8244-4-44-444-4-4444-4-4-44-400000000000000000000000000000000−2222−2222−2222−2222000000000000000000000000000000000000
χ8344-4-44-444-4-4-4-4-4444-44-44-4-44-44400000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-44-4-4-44444-44-44-4-4000000000000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000
χ8544-4-44-4-4-44444-44-44-4-400000000000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000
χ8644-4-44-4-4-444-4-44-44-444-4444-4-44-400000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-444-4-444-444-4-4-44000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ8844-4-4-444-4-444-444-4-4-4400000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ8944-4-4-444-4-44-44-4-4444-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-44-444-44-4-4-4-44440000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000
χ9144-4-4-44-444-44-4-4-4-444400000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000
χ9244-4-4-44-444-4-44444-4-4-4-444-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ9316-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9416-16-1616000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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