Finite Group Databasebeta

← Group #11789822

Character table — Group #11789822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order122222223344444444444466666666666666366666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888888888888224444446666121212121212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
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
χ911-11-11-1-1111-1ii−i−iii−i−i1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ1011-11-11-1-1111-1ii−i−iii−i−i1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii
χ1111-11-11-1-1111-1ii−i−iii−i−i1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii
χ1211-11-11-1-1111-1ii−i−iii−i−i1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1iiiiii−i−i−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i
χ1311-11-11-1-1111-1−i−iii−i−iii1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ1411-11-11-1-1111-1−i−iii−i−iii1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i
χ1511-11-11-1-1111-1−i−iii−i−iii1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i
χ1611-11-11-1-1111-1−i−iii−i−iii1-11-1-111-11-11-1-11-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−iiiiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii
χ172222222222-2-22222-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-22222-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-1222222222222222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ20222222222-1222222222222222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ21222222222-122-2-2-2-2-2-2-2-222222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-122-1-122-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-20000-1-1-1-1111100000000
χ22222222222-122-2-2-2-2-2-2-2-222222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-122-1-122-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-22200001111-1-1-1-100000000
χ23222222222-1-2-22222-2-2-2-2-2-2222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-211-2-21122-1-11122-1-111-2-2-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ24222222222-1-2-22222-2-2-2-2-2-2222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-211-2-21122-1-11122-1-111-2-2-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ25222222222-1-2-2-2-2-2-22222-2-2222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-211-2-211-2-211-1-1-2-211-1-12222111111111111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ26222222222-1-2-2-2-2-2-22222-2-2222-1-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-211-2-211-2-211-1-1-2-211-1-12222111111111111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2722222222-12222222222222-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ2822222222-12222222222222-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ2922222222-1222-2-2-2-2-2-2-2-222-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-1-1-122-1-12211-2-2-2-211-2-2-2-21111-1-1-1-1-1-1-1-111111111111111110000000000000000000022-2-200000000-1-1-1-11111
χ3022222222-1222-2-2-2-2-2-2-2-222-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-1-1-122-1-12211-2-2-2-211-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-222000000001111-1-1-1-1
χ3122222222-12-2-22222-2-2-2-2-2-2-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-111-2-211-2-2-1-122-2-2-1-122-2-2111111111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ3222222222-12-2-22222-2-2-2-2-2-2-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-111-2-211-2-2-1-122-2-2-1-122-2-2111111111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ3322222222-12-2-2-2-2-2-22222-2-2-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-111-2-211-2-211-2-22211-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ3422222222-12-2-2-2-2-2-22222-2-2-1-1-1222-1-1222-12-1-1-1-1-1-1-1-1-111-2-211-2-211-2-22211-2-222-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ35222-2-2-2-2222002i−2i2i−2i00000022-22-22-2-2-22-2-2-2222-22-2-22-2000000002i−2i2i−2i002i−2i2i−2i000000000000002i2i−2i−2i00002i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000000000
χ36222-2-2-2-2222002i−2i2i−2i00000022-22-22-2-2-22-2-2-2222-22-2-22-2000000002i−2i2i−2i002i−2i2i−2i000000000000002i2i−2i−2i00002i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000000000
χ37222-2-2-2-222200−2i2i−2i2i00000022-22-22-2-2-22-2-2-2222-22-2-22-200000000−2i2i−2i2i00−2i2i−2i2i00000000000000−2i−2i2i2i0000−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000000000000000
χ38222-2-2-2-222200−2i2i−2i2i00000022-22-22-2-2-22-2-2-2222-22-2-22-200000000−2i2i−2i2i00−2i2i−2i2i00000000000000−2i−2i2i2i0000−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000000000000000
χ3922-22-22-2-222-222i2i−2i−2i−2i−2i2i2i-222-2-222-22-22-2-22-2-2222-2-22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ4022-22-22-2-222-22−2i−2i2i2i2i2i−2i−2i-222-2-222-22-22-2-22-2-2222-2-22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ4122-22-22-2-22-12-22i2i−2i−2i2i2i−2i−2i2-22-2-2-1-112-2-11121-2-1-1-111-11122-1-1-2-2112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-22i−2i0000-1-111−i−iii00000000
χ4222-22-22-2-22-12-22i2i−2i−2i2i2i−2i−2i2-22-2-2-1-112-2-11121-2-1-1-111-11122-1-1-2-2112i2i−i−i−i−i−2i−2iiiii2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-22−2i2i000011-1-1ii−i−i00000000
χ4322-22-22-2-22-12-2−2i−2i2i2i−2i−2i2i2i2-22-2-2-1-112-2-11121-2-1-1-111-11122-1-1-2-211−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ4422-22-22-2-22-12-2−2i−2i2i2i−2i−2i2i2i2-22-2-2-1-112-2-11121-2-1-1-111-11122-1-1-2-211−2i−2iiiii2i2i−i−i−i−i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-222i−2i000011-1-1−i−iii00000000
χ4522-22-22-2-22-1-222i2i−2i−2i−2i−2i2i2i-222-2-2-1-112-2-11121-2-1-1-111-111-2-21122-1-12i2i−i−iii−2i−2iii−i−i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000−i3i3i3−i33−3−3300000000
χ4622-22-22-2-22-1-222i2i−2i−2i−2i−2i2i2i-222-2-2-1-112-2-11121-2-1-1-111-111-2-21122-1-12i2i−i−iii−2i−2iii−i−i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000i3−i3−i3i3−333−300000000
χ4722-22-22-2-22-1-22−2i−2i2i2i2i2i−2i−2i-222-2-2-1-112-2-11121-2-1-1-111-111-2-21122-1-1−2i−2iii−i−i2i2i−i−iii2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000−i3i3i3−i3−333−300000000
χ4822-22-22-2-22-1-22−2i−2i2i2i2i2i−2i−2i-222-2-2-1-112-2-11121-2-1-1-111-111-2-21122-1-1−2i−2iii−i−i2i2i−i−iii2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000i3−i3−i3i33−3−3300000000
χ4922-22-22-2-2-122-22i2i−2i−2i2i2i−2i−2i2-2-11122-2-112-2-2-1-21-1-1-111-111-1-12211-2-2−i−i2i2i2i2iii−2i−2i−2i−2i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000002-22i−2i00000000-1-111−i−iii
χ5022-22-22-2-2-122-22i2i−2i−2i2i2i−2i−2i2-2-11122-2-112-2-2-1-21-1-1-111-111-1-12211-2-2−i−i2i2i2i2iii−2i−2i−2i−2i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000-22−2i2i0000000011-1-1ii−i−i
χ5122-22-22-2-2-122-2−2i−2i2i2i−2i−2i2i2i2-2-11122-2-112-2-2-1-21-1-1-111-111-1-12211-2-2ii−2i−2i−2i−2i−i−i2i2i2i2iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000002-2−2i2i00000000-1-111ii−i−i
χ5222-22-22-2-2-122-2−2i−2i2i2i−2i−2i2i2i2-2-11122-2-112-2-2-1-21-1-1-111-111-1-12211-2-2ii−2i−2i−2i−2i−i−i2i2i2i2iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000-222i−2i0000000011-1-1−i−iii
χ5322-22-22-2-2-12-222i2i−2i−2i−2i−2i2i2i-22-11122-2-112-2-2-1-21-1-1-111-11111-2-2-1-122−i−i2i2i−2i−2iii−2i−2i2i2iii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000−i3i3i3−i33−3−33
χ5422-22-22-2-2-12-222i2i−2i−2i−2i−2i2i2i-22-11122-2-112-2-2-1-21-1-1-111-11111-2-2-1-122−i−i2i2i−2i−2iii−2i−2i2i2iii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000i3−i3−i3i3−333−3
χ5522-22-22-2-2-12-22−2i−2i2i2i2i2i−2i−2i-22-11122-2-112-2-2-1-21-1-1-111-11111-2-2-1-122ii−2i−2i2i2i−i−i2i2i−2i−2i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000−i3i3i3−i3−333−3
χ5622-22-22-2-2-12-22−2i−2i2i2i2i2i−2i−2i-22-11122-2-112-2-2-1-21-1-1-111-11111-2-2-1-122ii−2i−2i2i2i−i−i2i2i−2i−2i−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000000000i3−i3−i3i33−3−33
χ5722-2-22-22-222002-2-220000002-222-2-2-22-2-22-22-222-2-22-2-22000000002-22-200-22-220000000000000022-2-20000-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
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χ1284-4-4-4-4444-24000000-444-40022-2-44-422-44-4-24-2-22-22-22-22000000000000-4400004-42-2-2200000000000022-2-20000-2-2220000000000000000000000000000000000000000
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χ1304-4-4-4-4444-2-20000004-4-440022-22-22222-22-2-2-21-11-11-11-1000000000000-2200002-2-222-2−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i11-1-13i−3i−3i3i-1-1110000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).