Finite Group Databasebeta

← Group #11790140

Character table — Group #11790140

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444444444444666666666666663666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-11-11-1111-1ii−i−iii−i−i1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-11-11-1111-1ii−i−iii−i−i1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ1111-1-11-11-1111-1ii−i−iii−i−i1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ1211-1-11-11-1111-1ii−i−iii−i−i1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ1311-1-11-11-1111-1−i−iii−i−iii1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ1411-1-11-11-1111-1−i−iii−i−iii1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ1511-1-11-11-1111-1−i−iii−i−iii1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ1611-1-11-11-1111-1−i−iii−i−iii1-111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ172222222222-2-22222-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-22222-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-12222222222222-122-1-12-12-12-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002200220000-1-1-1-10000-1-1-1-1
χ20222222222-12222222222222-122-1-12-12-12-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000111100001111
χ21222222222-122-2-2-2-2-2-2-2-2222-122-1-12-12-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-122-2-2-2-2-2-2-2-2222-122-1-12-12-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-20022000011110000-1-1-1-1
χ23222222222-1-2-22222-2-2-2-2-2-22-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-2-211-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
χ24222222222-1-2-22222-2-2-2-2-2-22-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-2-211-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3
χ25222222222-1-2-2-2-2-2-22222-2-22-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21122-1-122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ26222222222-1-2-2-2-2-2-22222-2-22-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21122-1-122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
χ2722222222-12222222222222-12-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-10000-1-1-1-10000
χ2822222222-12222222222222-12-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111000011110000
χ2922222222-1222-2-2-2-2-2-2-2-222-12-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002200-2-200-1-1-1-1000011110000
χ3022222222-1222-2-2-2-2-2-2-2-222-12-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-200220011110000-1-1-1-10000
χ3122222222-12-2-22222-2-2-2-2-2-2-12-1-122-12-12-12-12-1-1-1-1-1-1-1-111-2-211-2-2-1-122-1-12211-2-211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ3222222222-12-2-22222-2-2-2-2-2-2-12-1-122-12-12-12-12-1-1-1-1-1-1-1-111-2-211-2-2-1-122-1-12211-2-211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ3322222222-12-2-2-2-2-2-22222-2-2-12-1-122-12-12-12-12-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-122-1-122111111111111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ3422222222-12-2-2-2-2-2-22222-2-2-12-1-122-12-12-12-12-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-122-1-122111111111111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
χ35222-2-22-2-222002-22-2000000222-22-2-2-222-2-2-2-222-22-2-22-2000000002-22-22-22-2000000000000000022-2-2000022-2-2000022−2−222−2−222−2−222−2−2000000000000000000000000
χ36222-2-22-2-222002-22-2000000222-22-2-2-222-2-2-2-222-22-2-22-2000000002-22-22-22-2000000000000000022-2-2000022-2-20000−2−222−2−222−2−222−2−222000000000000000000000000
χ37222-2-22-2-22200-22-22000000222-22-2-2-222-2-2-2-222-22-2-22-200000000-22-22-22-220000000000000000-2-2220000-2-222000022−2−222−2−2−2−222−2−222000000000000000000000000
χ38222-2-22-2-22200-22-22000000222-22-2-2-222-2-2-2-222-22-2-22-200000000-22-22-22-220000000000000000-2-2220000-2-2220000−2−222−2−22222−2−222−2−2000000000000000000000000
χ3922-22-2-2-2222002i−2i−2i2i00000022-22-22-2-2-2-2-2-22222-2-22-2-22000000002i−2i2i−2i−2i2i−2i2i00000000000000002i2i−2i−2i0000−2i−2i2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4022-22-2-2-2222002i−2i−2i2i00000022-22-22-2-2-2-2-2-22222-2-22-2-22000000002i−2i2i−2i−2i2i−2i2i00000000000000002i2i−2i−2i0000−2i−2i2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ4122-22-2-2-222200−2i2i2i−2i00000022-22-22-2-2-2-2-2-22222-2-22-2-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i−2i2i2i00002i2i−2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ4222-22-2-2-222200−2i2i2i−2i00000022-22-22-2-2-2-2-2-22222-2-22-2-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i−2i2i2i00002i2i−2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4322-2-22-22-222-222i2i−2i−2i−2i−2i2i2i-2222-2-2-2-222-2-222-2-2222-2-22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ4422-2-22-22-222-22−2i−2i2i2i2i2i−2i−2i-2222-2-2-2-222-2-222-2-2222-2-22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ4522-2-22-22-22-12-22i2i−2i−2i2i2i−2i−2i2-22-1-2-2112-1-212-1-21-1-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii2i2i−i−i−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000002-2002i−2i0000-1-1110000−i−iii
χ4622-2-22-22-22-12-22i2i−2i−2i2i2i−2i−2i2-22-1-2-2112-1-212-1-21-1-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii2i2i−i−i−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ4722-2-22-22-22-12-2−2i−2i2i2i−2i−2i2i2i2-22-1-2-2112-1-212-1-21-1-1-111-11122-1-1-2-211−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ4822-2-22-22-22-12-2−2i−2i2i2i−2i−2i2i2i2-22-1-2-2112-1-212-1-21-1-1-111-11122-1-1-2-211−2i−2iii2i2i−i−i−2i−2iii2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000-22002i−2i000011-1-10000−i−iii
χ4922-2-22-22-22-1-222i2i−2i−2i−2i−2i2i2i-222-1-2-2112-1-212-1-21-1-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2iii2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i300003−3−33
χ5022-2-22-22-22-1-222i2i−2i−2i−2i−2i2i2i-222-1-2-2112-1-212-1-21-1-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2iii2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i30000−333−3
χ5122-2-22-22-22-1-22−2i−2i2i2i2i2i−2i−2i-222-1-2-2112-1-212-1-21-1-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i30000−333−3
χ5222-2-22-22-22-1-22−2i−2i2i2i2i2i−2i−2i-222-1-2-2112-1-212-1-21-1-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i300003−3−33
χ5322-2-22-22-2-122-22i2i−2i−2i2i2i−2i−2i2-2-1211-2-2-121-2-121-2-1-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-2002i−2i00-1-1110000−i−iii0000
χ5422-2-22-22-2-122-22i2i−2i−2i2i2i−2i−2i2-2-1211-2-2-121-2-121-2-1-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−i2i2iii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ5522-2-22-22-2-122-2−2i−2i2i2i−2i−2i2i2i2-2-1211-2-2-121-2-121-2-1-1-111-111-1-12211-2-2ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ5622-2-22-22-2-122-2−2i−2i2i2i−2i−2i2i2i2-2-1211-2-2-121-2-121-2-1-1-111-111-1-12211-2-2ii−2i−2i−i−i2i2iii−2i−2i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-22002i−2i0011-1-10000−i−iii0000
χ5722-2-22-22-2-12-222i2i−2i−2i−2i−2i2i2i-22-1211-2-2-121-2-121-2-1-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000−i3i3i3−i300003−3−330000
χ5822-2-22-22-2-12-222i2i−2i−2i−2i−2i2i2i-22-1211-2-2-121-2-121-2-1-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000i3−i3−i3i30000−333−30000
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χ6022-2-22-22-2-12-22−2i−2i2i2i2i2i−2i−2i-22-1211-2-2-121-2-121-2-1-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000i3−i3−i3i300003−3−330000
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χ1294-4-4-444-44-2-24400000000-4-4222222-2-2-2-222-2-21-1-1-1-1111-22-222-22-2000000000000000011-1-1-1-1113-33-33-3-33-33-33-333-30000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).