Finite Group Databasebeta

← Group #72270309

Character table — Group #72270309

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222244444444444444666688888888888888888888121212121212121212121212121216161616161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order122222222234444444466666666612121212121212122222222222444444888888882222224444444444446666661212121212121212121212121212242424242424242422224444888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ1711111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-111-1-111-1-1ii−i−iii−i−i-1-1111111-1-1-1-1-1-1i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−i
χ1811111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-111-1-111-1-1−i−iii−i−iii-1-1111111-1-1-1-1-1-1−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii
χ1911111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-111ii−i−i−i−iii-1-1-1-1-1-111-1-11111i−i−ii11-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiii−i−ii
χ2011111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1111111-1-1-1-111-1-111−i−iiiii−i−i-1-1-1-1-1-111-1-11111−iii−i11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−iii−i
χ2111111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-111ii−i−iii−i−i-1-1111111-1-1-1-1-1-1−ii−ii-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−ii−ii
χ2211111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-11111-1-1-1-111−i−iii−i−iii-1-1111111-1-1-1-1-1-1i−ii−i-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iiii−ii−i
χ2311111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-111-1-11111-1-1ii−i−i−i−iii-1-1-1-1-1-111-1-11111−iii−i-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−iii−i
χ2411111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-11111-1-111-1-11111-1-1−i−iiiii−i−i-1-1-1-1-1-111-1-11111i−i−ii-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−ii−i−ii
χ2511111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-1-1-1-1-1111111i−ii−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−ii−ii
χ2611111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-1-1-1-1-1111111−ii−ii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−ii−ii−i
χ2711111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−i−i−iii111111-1-111-1-1-1-1i−i−ii11-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−iii−i
χ2811111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iiiii−i−i111111-1-111-1-1-1-1−iii−i11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiii−i−ii
χ2911111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i11-1-1-1-1-1-1111111−ii−ii-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iiii−ii−i
χ3011111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii11-1-1-1-1-1-1111111i−ii−i-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i−ii−ii
χ3111111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii111111-1-111-1-1-1-1−iii−i-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−ii−i−ii
χ3211111-1-1-1-1111111-1-1-1-11111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i111111-1-111-1-1-1-1i−i−ii-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−iii−i
χ3322222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200002-22-20000000000002222-2-2-2-2-2-222-2-2000000002-22-20000000000000000000000000000000000000000
χ3422222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000-22-2200000000000022-2-222-2-2-2-2-2-22200000000-22-220000000000000000000000000000000000000000
χ3522222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-200002-22-2000000000000-2-2-2-2222222-2-222000000002-22-20000000000000000000000000000000000000000
χ3622222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-20000-22-22000000000000-2-222-2-2222222-2-200000000-22-220000000000000000000000000000000000000000
χ372222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022222222222222222222000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ382222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ392222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000022-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-1111100000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-22222-2-2-2-22222222200000000000000-2-2-2-21111-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000022221111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000-2-22211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000022-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ4522222-2-2-2-222-2-2-2-222222222-2-22-2-2-2-2-2-22222222200002-2-22000000000000-2-222-2-2-2-222-2-222000000002-2-220000000000000000000000000000000000000000
χ4622222-2-2-2-222-2-2-2-222222222-2-22-2-2-2-2-2-2222222220000-222-2000000000000-2-2-2-222-2-22222-2-200000000-222-20000000000000000000000000000000000000000
χ4722222-2-2-2-222-2-2-2-222222222-2-22-2-2-2-2-2-22222-2-2-2-200002-2-2200000000000022-2-22222-2-222-2-2000000002-2-220000000000000000000000000000000000000000
χ4822222-2-2-2-222-2-2-2-222222222-2-22-2-2-2-2-2-22222-2-2-2-20000-222-20000000000002222-2-222-2-2-2-22200000000-222-20000000000000000000000000000000000000000
χ4922222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-11111000022-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000002i−2i2i−2i-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii00000000000000000000
χ5022222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-11111000022-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i−2i2i-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i00000000000000000000
χ5122222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-11111000022-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i000000000000002i−2i−2i2i-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i00000000000000000000
χ5222222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-11111000022-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i00000000000000−2i2i2i−2i-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii00000000000000000000
χ5322222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-111110000-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000000000−2i2i−2i2i11-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii00000000000000000000
χ5422222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-111110000-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000000000002i−2i2i−2i11-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i00000000000000000000
χ5522222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-111110000-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i00000000000000−2i2i2i−2i11-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i00000000000000000000
χ5622222-2-2-2-22-12222-2-2-2-2-1-1-1-111-111-1-1-1-111110000-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000002i−2i−2i2i11-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii00000000000000000000
χ572222-22-22-2-2222-2-222-2-2222-22-2-22-222-2-222-2-222-2-200000000000000002i−2i2i−2i2-200002-22-2000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000
χ582222-22-22-2-2222-2-222-2-2222-22-2-22-222-2-222-2-222-2-20000000000000000−2i2i−2i2i2-200002-22-200000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000
χ592222-22-22-2-2222-2-222-2-2222-22-2-22-222-2-222-2-2-2-22200000000000000002i−2i2i−2i-220000-22-22000000000000000000000000000000002i−2i2i−2i000000000000−2i2i−2i2i0000
χ602222-22-22-2-2222-2-222-2-2222-22-2-22-222-2-222-2-2-2-2220000000000000000−2i2i−2i2i-220000-22-2200000000000000000000000000000000−2i2i−2i2i0000000000002i−2i2i−2i0000
χ612222-22-22-2-22-2-222-2-222222-22-2-22-2-2-222-2-22222-2-20000000000002-22-200002-20000-22-2200000000000000000000000000002-22-20000000000002-22-200000000
χ622222-22-22-2-22-2-222-2-222222-22-2-22-2-2-222-2-22222-2-2000000000000-22-2200002-20000-22-220000000000000000000000000000-22-22000000000000-22-2200000000
χ632222-22-22-2-22-2-222-2-222222-22-2-22-2-2-222-2-222-2-2220000000000002-22-20000-2200002-22-200000000000000000000000000002-22-2000000000000-22-2200000000
χ642222-22-22-2-22-2-222-2-222222-22-2-22-2-2-222-2-222-2-222000000000000-22-220000-2200002-22-20000000000000000000000000000-22-220000000000002-22-200000000
χ652222-2-22-22-2222-2-2-2-222222-2-22-2-2222-2-2-2-22222-2-200000000000000002-2-22-2200002-2-22000000000000000000000000000000002-2-220000000000002-2-220000
χ662222-2-22-22-2222-2-2-2-222222-2-22-2-2222-2-2-2-22222-2-20000000000000000-222-2-2200002-2-2200000000000000000000000000000000-222-2000000000000-222-20000
χ672222-2-22-22-2222-2-2-2-222222-2-22-2-2222-2-2-2-222-2-22200000000000000002-2-222-20000-222-2000000000000000000000000000000002-2-22000000000000-222-20000
χ682222-2-22-22-2222-2-2-2-222222-2-22-2-2222-2-2-2-222-2-2220000000000000000-222-22-20000-222-200000000000000000000000000000000-222-20000000000002-2-220000
χ692222-2-22-22-22-2-22222-2-2222-2-22-2-22-2-22222-2-222-2-20000000000002i−2i−2i2i0000-220000-222-200000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000
χ702222-2-22-22-22-2-22222-2-2222-2-22-2-22-2-22222-2-222-2-2000000000000−2i2i2i−2i0000-220000-222-20000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000
χ712222-2-22-22-22-2-22222-2-2222-2-22-2-22-2-22222-2-2-2-2220000000000002i−2i−2i2i00002-200002-2-2200000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i00000000
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Here i is the imaginary unit (i² = −1).