Finite Group Databasebeta

← Group #72263418

Character table — Group #72263418

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222222444444444444444444444444888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222224444444422222222222244442222222244444444444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111
χ911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ171111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-111-1-1111111-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-111-1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-111-1-1111111-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-111-1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1-1-1-111-1-1111-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ201111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1-1-1-111-1-1111-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ211111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-1-1-1111111-1-111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111-1-111-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ221111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-1-1-1111111-1-111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111-1-111-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ231111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-1-1-111-1-1-1-1-1-1111111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1111-1-111-1-1-11ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ241111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11-11-1-1-111-1-1-1-1-1-1111111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1111-1-111-1-1-11−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ251111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-11-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-11-1-11111-1-111-1-1-1-111-1-11111-1-1
χ281111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1111-1-1-1-111-1-11111-1-111-1-1-1-111
χ291111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ301111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-11-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ311111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-111-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ321111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11111-1-11-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ3322222222222222222222222222-2-2222-2-22-2-2-2-2-2-2-2-22-2-22-2-222-22-22-2-2-2-22222000022220000000000000000000000000000-2-200000000-2-2000000000000000000000000
χ3422222222222222222222222222-2-2222-2-22-2-2-2-2-2-2-2-22-2-22-2-222-22-22-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000220000000022000000000000000000000000
χ35222222222222222222-2-222-2-22222222222-2-2-2-2-2-2-2-2-222-222-2-22-22-2-2-2-2-20000000000000000000000000000000000000000002-22-22-22-200000000000000000000000000
χ36222222222222222222-2-222-2-22222222222-2-2-2-2-2-2-2-2-222-222-2-22-22-2-2-2-2-2000000000000000000000000000000000000000000-22-22-22-2200000000000000000000000000
χ37222222222222222222-2-222-2-222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222220000222200002222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ38222222222222222222-2-222-2-222-2-2222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222220000-2-2-2-20000-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ392222222222-2-22-2-2-2-2222-2-2222-22222-222-2-2-2-2-22222-22-2-22-22-2-2-2-2222-2-200000000000000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ402222222222-2-22-2-2-2-2222-2-2222-22222-222-2-2-2-2-22222-22-2-22-22-2-2-2-2222-2-20000000000000000000000000000000000000000000000000000-22-22-22-220000000000000000
χ412222222222-2-22-2-2-2-2222-2-2222-2-2-222-2-2-2-22222-2-2-2-2-2-22-2-222-22-222-2-222000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ422222222222-2-22-2-2-2-2222-2-2222-2-2-222-2-2-2-22222-2-2-2-2-2-22-2-222-22-222-2-22200000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ432222222222-2-22-2-2-2-22-2-2-2-2-2-22-22222-222-22222-2-2-2-222-222-2-22-22-2-2-2-2220000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ442222222222-2-22-2-2-2-22-2-2-2-2-2-22-22222-222-22222-2-2-2-222-222-2-22-22-2-2-2-222000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ452222222222-2-22-2-2-2-22-2-2-2-2-2-22-2-2-222-2-2-2-2-2-2-2-222222-222-22-22222-222-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ462222222222-2-22-2-2-2-22-2-2-2-2-2-22-2-2-222-2-2-2-2-2-2-2-222222-222-22-22222-222-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ4722222222-2-2222-2-2-2-2222-2-222-2222-2-2222222222222-2-22-2-22-22-22-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ4822222222-2-2222-2-2-2-2222-2-222-2222-2-2222222222222-2-22-2-22-22-22-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-22-222-22-2
χ4922222222-2-2222-2-2-2-2222-2-222-22-2-2-2-22-2-22-2-2-2-2-2-2-2-2-22-2-22-2-22222-2222200000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ5022222222-2-2222-2-2-2-2222-2-222-22-2-2-2-22-2-22-2-2-2-2-2-2-2-2-22-2-22-2-22222-222220000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ5122222222-2-2222-2-2-2-22-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-22-222-222-2-2-2-2222220000000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ5222222222-2-2222-2-2-2-22-2-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-22-222-222-2-2-2-222222000000000000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ5322222222-2-2222-2-2-2-22-2-2-2-2-2-2-22-2-2-2-22-2-222222222222-222-22-22-222-2-2-2-200000000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000000000000000
χ5422222222-2-2222-2-2-2-22-2-2-2-2-2-2-22-2-2-2-22-2-222222222222-222-22-22-222-2-2-2-2000000000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000000000000000
χ5522222222-2-2-2-2222222222222-2-222-2-2-222-2-2-2-2-222222-2-22-2-2-2-22-22-2-2-22222220000-2-2-2-20000000000000000000000000000-2-20000000022000000000000000000000000
χ5622222222-2-2-2-2222222222222-2-222-2-2-222-2-2-2-2-222222-2-22-2-2-2-22-22-2-2-222-2-2-2-20000222200000000000000000000000000002200000000-2-2000000000000000000000000
χ5722222222-2-2-2-2222222-2-222-2-2-2-222-2-2-222-22222-2-2-2-2-2-2-2-2-2-222222222-2-2000022-2-2000022-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ5822222222-2-2-2-2222222-2-222-2-2-2-222-2-2-222-22222-2-2-2-2-2-2-2-2-2-222222222-2-20000-2-2220000-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ5922222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-22222-22-22-2-2220000000000000000000000000000000000000000002-22-2-22-2200000000000000000000000000
χ6022222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-22222-22-22-2-222000000000000000000000000000000000000000000-22-222-22-200000000000000000000000000
χ612222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-222-2-2-222-2-2222-2-2-22222-2-22-2-22-2222-2-2000022-2-20000000000000000000000000000-2200000000-22000000000000000000000000
χ622222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-222-2-2-222-2-2222-2-2-22222-2-22-2-22-22-2-2220000-2-22200000000000000000000000000002-2000000002-2000000000000000000000000
χ632222-2-2-2-22222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-222-2222-2-2-2-222-22-22-220000000000000000000000000000000000000000002-2-222-2-2200000000000000000000000000
χ642222-2-2-2-22222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-222-2222-2-2-2-222-22-22-22000000000000000000000000000000000000000000-222-2-222-200000000000000000000000000
χ652222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-222-222-2-222-2-2-2-2-2222-2-2-22222-22-2000022220000-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000
χ662222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-222-222-2-222-2-2-2-2-2222-2-2-22222-22-20000-2-2-2-20000222222-2-222-2-20000000000000000000000000000000000000000000000000000
χ672222-2-2-2-222-2-22-2-2-2-222222-2-22-222-2-22-2-22-2-22222-2-2-22-22-222-2-222-22-2-2200000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ682222-2-2-2-222-2-22-2-2-2-222222-2-22-222-2-22-2-22-2-22222-2-2-22-22-222-2-222-22-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ692222-2-2-2-222-2-22-2-2-2-222222-2-22-2-2-2-2-2222222-2-2-2-222-2-2222-22-222-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ702222-2-2-2-222-2-22-2-2-2-222222-2-22-2-2-2-2-2222222-2-2-2-222-2-2222-22-222-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000-222-2-222-2
χ712222-2-2-2-222-2-22-2-2-2-22-2-222222-222-2-22-2-2222-2-2-2-22222-2-2-22-22-2-222-222-200000000000000000000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ722222-2-2-2-222-2-22-2-2-2-22-2-222222-222-2-22-2-2222-2-2-2-22222-2-2-22-22-2-222-222-2000000000000000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ732222-2-2-2-222-2-22-2-2-2-22-2-222222-2-2-2-2-22222-2-22222-2-22-22-22-2-222-2-222-2-220000000000000000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ742222-2-2-2-222-2-22-2-2-2-22-2-222222-2-2-2-2-22222-2-22222-2-22-22-22-2-222-2-222-2-22000000000000000000000000000000000000000000000000000000000000-222-2-222-200000000
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Here i is the imaginary unit (i² = −1).