Finite Group Databasebeta

← Group #72343197

Character table — Group #72343197

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111122222222222222224444444444444444444444444444448888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161632323232
order1222444422222244444444442222222244444444444444888888884444444444448888888888888888888888888888222244444488888888888888884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ11111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ171111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ181111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11-11-111-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ191111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11-11-111-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ201111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ211111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1-1-111-1-111ii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-11-11−i−iii−i−iiiii−i−i−i−iii1-1-11
χ221111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-1-1-111-1-111ii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1-11−i−iii−i−iii−i−iiiii−i−i-111-1
χ231111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1-1-111-1-111−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-111-1-111-1-11ii−i−iii−i−iii−i−i−i−iii-111-1
χ241111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-1-1-111-1-111−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-11-11ii−i−iii−i−i−i−iiiii−i−i1-1-11
χ251111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111ii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1-11ii−i−i−i−iii−i−iii−i−iii-11-11
χ261111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111ii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11-11ii−i−i−i−iiiii−i−iii−i−i1-11-1
χ271111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11-11−i−iiiii−i−i−i−iii−i−iii1-11-1
χ281111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1-11−i−iiiii−i−iii−i−iii−i−i-11-11
χ291111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1
χ301111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1iiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-11-1−i−iiiii−i−iii−i−i−i−iii1-1-11
χ311111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1-111-11-1ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ321111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1
χ3322222222222222-2-222222-2-2222222222-2-2-2-222222222-2-200000000-2-2-2-2-2-2-2-22222000000000000000000000000000000000000-2-200000000000000000000
χ3422222222222222-2-222222-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-20000000000000000000000000000000000002200000000000000000000
χ3522222222222222-2-222222-2-22-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2000000002222-2-2-2-2-2-2-2-20000000000000000000000000000000000002200000000000000000000
χ3622222222222222-2-222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222222222000000000000000000000000000000000000-2-200000000000000000000
χ37222222222-2-2-22-22222-2-2-222-2000000002-2-2-2000000002-222-2-222-2-20000000000002-22-2000000000000000022-2-222-2-2002-200-220000000000000000000000
χ38222222222-2-2-22-22222-2-2-222-2000000002-2-2-2000000002-222-2-222-2-20000000000002-22-20000000000000000-2-222-2-22200-22002-20000000000000000000000
χ39222222222-2-2-22-22222-2-2-222-2000000002-2-2-2000000002-2-2-222-2-222000000000000-22-22000000000000000022-2-222-2-200-22002-20000000000000000000000
χ40222222222-2-2-22-22222-2-2-222-2000000002-2-2-2000000002-2-2-222-2-222000000000000-22-220000000000000000-2-222-2-222002-200-220000000000000000000000
χ4122222222-22-2-2-2222-2-222-222-200000000-22-2-200000000-2222-2-222-2-2000000000000-22-220000000022-2-222-2-2000000002-200-22000000000000000000000000
χ4222222222-22-2-2-2222-2-222-222-200000000-22-2-200000000-2222-2-222-2-2000000000000-22-2200000000-2-222-2-22200000000-22002-2000000000000000000000000
χ4322222222-22-2-2-2222-2-222-222-200000000-22-2-200000000-22-2-222-2-2220000000000002-22-20000000022-2-222-2-200000000-22002-2000000000000000000000000
χ4422222222-22-2-2-2222-2-222-222-200000000-22-2-200000000-22-2-222-2-2220000000000002-22-200000000-2-222-2-222000000002-200-22000000000000000000000000
χ4522222222-2-222-2-222-2-2-2-22222000022-2-2-2-2220000-2-222-2-22222222200002-22-20000-2-2-2-200000000000000000000000000000000002-22-20000000000000000
χ4622222222-2-222-2-222-2-2-2-22222000022-2-2-2-2220000-2-222-2-2-2-2-2-2-2-2-2-200002-22-2000022220000000000000000000000000000000000-22-220000000000000000
χ4722222222-2-222-2-222-2-2-2-222220000-2-222-2-222000022-2-2-2-2222222220000-22-220000-2-2-2-20000000000000000000000000000000000-22-220000000000000000
χ4822222222-2-222-2-222-2-2-2-222220000-2-222-2-222000022-2-2-2-2-2-2-2-2-2-2-2-20000-22-220000222200000000000000000000000000000000002-22-20000000000000000
χ4922222222-2-222-2-2-2-2-2-2-2-22-2-22000022-2-222-2-20000-2-22222000000000000-22-220000000022-2-222-2-20000000000000000000000000000002-22-2000000000000
χ5022222222-2-222-2-2-2-2-2-2-2-22-2-22000022-2-222-2-20000-2-22222000000000000-22-2200000000-2-222-2-222000000000000000000000000000000-22-22000000000000
χ5122222222-2-222-2-2-2-2-2-2-2-22-2-220000-2-22222-2-2000022-2-2220000000000002-22-20000000022-2-222-2-2000000000000000000000000000000-22-22000000000000
χ5222222222-2-222-2-2-2-2-2-2-2-22-2-220000-2-22222-2-2000022-2-2220000000000002-22-200000000-2-222-2-2220000000000000000000000000000002-22-2000000000000
χ532222-2-2-2-2222222-2-2-2-2-2-2-222-2222222-2-2-2-2-22-2-2-2-222-2-22200000000-2-222-2-22222-2-2000000000000000000000000000000000000-2200000000000000000000
χ542222-2-2-2-2222222-2-2-2-2-2-2-222-22222-2-222-2-2-22-2-2-2-2-2-2222200000000-2-22222-2-2-2-2220000000000000000000000000000000000002-200000000000000000000
χ552222-2-2-2-2222222-2-2-2-2-2-2-222-2-2-2-2-222-2-2-2-2-22222222-2-2220000000022-2-2-2-222-2-2220000000000000000000000000000000000002-200000000000000000000
χ562222-2-2-2-2222222-2-2-2-2-2-2-222-2-2-2-2-2-2-222-2-2-222222-2-222220000000022-2-222-2-222-2-2000000000000000000000000000000000000-2200000000000000000000
χ572222-2-2-2-22-2-2-22-222-2-2222-2-22000000002-2-2200000000-222i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i002200-2-20000000000000000000000
χ582222-2-2-2-22-2-2-22-222-2-2222-2-22000000002-2-2200000000-222i2i−2i−2i−2i−2i2i2i0000000000002i−2i−2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00-2-200220000000000000000000000
χ592222-2-2-2-22-2-2-22-222-2-2222-2-22000000002-2-2200000000-22−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00-2-200220000000000000000000000
χ602222-2-2-2-22-2-2-22-222-2-2222-2-22000000002-2-2200000000-22−2i−2i2i2i2i2i−2i−2i000000000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i002200-2-20000000000000000000000
χ612222-2-2-2-2-22-2-2-222222-2-22-2-2200000000-22-22000000002-22i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i000000002200-2-2000000000000000000000000
χ622222-2-2-2-2-22-2-2-222222-2-22-2-2200000000-22-22000000002-22i2i−2i−2i−2i−2i2i2i000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000-2-20022000000000000000000000000
χ632222-2-2-2-2-22-2-2-222222-2-22-2-2200000000-22-22000000002-2−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000-2-20022000000000000000000000000
χ642222-2-2-2-2-22-2-2-222222-2-22-2-2200000000-22-22000000002-2−2i−2i2i2i2i2i−2i−2i0000000000002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i000000002200-2-2000000000000000000000000
χ652222-2-2-2-2-2-222-2-2222222-2-2-2-200002222-2-22-20000-2-2-2-2222i2i2i2i−2i−2i−2i−2i00002-2-220000−2i−2i2i2i00000000000000000000000000000000002i−2i−2i2i0000000000000000
χ662222-2-2-2-2-2-222-2-2222222-2-2-2-200002222-2-22-20000-2-2-2-222−2i−2i−2i−2i2i2i2i2i00002-2-2200002i2i−2i−2i0000000000000000000000000000000000−2i2i2i−2i0000000000000000
χ672222-2-2-2-2-2-222-2-2222222-2-2-2-20000-2-2-2-2-2-22-200002222222i2i2i2i−2i−2i−2i−2i0000-222-20000−2i−2i2i2i0000000000000000000000000000000000−2i2i2i−2i0000000000000000
χ682222-2-2-2-2-2-222-2-2222222-2-2-2-20000-2-2-2-2-2-22-20000222222−2i−2i−2i−2i2i2i2i2i0000-222-200002i2i−2i−2i00000000000000000000000000000000002i−2i−2i2i0000000000000000
χ692222-2-2-2-2-2-222-2-2-2-22222-222-20000222222-220000-2-2-2-2-2-2000000000000-222-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000002i−2i−2i2i000000000000
χ702222-2-2-2-2-2-222-2-2-2-22222-222-20000222222-220000-2-2-2-2-2-2000000000000-222-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000−2i2i2i−2i000000000000
χ712222-2-2-2-2-2-222-2-2-2-22222-222-20000-2-2-2-222-2200002222-2-20000000000002-2-22000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000−2i2i2i−2i000000000000
χ722222-2-2-2-2-2-222-2-2-2-22222-222-20000-2-2-2-222-2200002222-2-20000000000002-2-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000002i−2i−2i2i000000000000
χ732-2-2222-2-2-2-22-222002-22-2200-222-2-22-22-2000022-2-22-22-20000000000000000002-22-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ742-2-2222-2-2-2-22-222002-22-2200-222-2-22-22-2000022-2-22-22-20000000000000000002-22-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i20000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.