Finite Group Databasebeta

← Group #11789056

Character table — Group #11789056

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order1222222233444444446666666666666612121212121212123446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1
χ911-11-1-1-11111-1ii−i−i1-111-1-1-111-1-1-111-1-1iiii−i−i−i−i1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-111-1-1ii−i−i11-1-1ii−i−i
χ1011-11-1-1-11111-1ii−i−i1-111-1-1-111-1-1-111-1-1iiii−i−i−i−i1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11-1-111−i−iii-1-111−i−iii
χ1111-11-1-1-11111-1ii−i−i1-111-1-1-111-1-1-111-1-1iiii−i−i−i−i1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-111-1-1ii−i−i-1-111−i−iii
χ1211-11-1-1-11111-1ii−i−i1-111-1-1-111-1-1-111-1-1iiii−i−i−i−i1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11-1-111−i−iii11-1-1ii−i−i
χ1311-11-1-1-11111-1−i−iii1-111-1-1-111-1-1-111-1-1−i−i−i−iiiii1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11-1-111ii−i−i11-1-1−i−iii
χ1411-11-1-1-11111-1−i−iii1-111-1-1-111-1-1-111-1-1−i−i−i−iiiii1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-111-1-1−i−iii-1-111ii−i−i
χ1511-11-1-1-11111-1−i−iii1-111-1-1-111-1-1-111-1-1−i−i−i−iiiii1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11-1-111ii−i−i-1-111ii−i−i
χ1611-11-1-1-11111-1−i−iii1-111-1-1-111-1-1-111-1-1−i−i−i−iiiii1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-111-1-1−i−iii11-1-1−i−iii
χ172222222222-2-22222-2-222222222222222222222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-1222222222-122-12-12-1-12-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222-122-12-12-1-12-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-122-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ21222222222-122-2-2-2-2222-122-12-12-1-12-1-1211111111-1-2-2-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-122-2-2-2-2222-122-12-12-1-12-1-1211111111-1-2-2-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-22222-2-22-122-12-12-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211222211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-22222-2-22-122-12-12-1-12-1-12-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211222211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-22-122-12-12-1-12-1-1211111111-122-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-2-2-2-2111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-22-122-12-12-1-12-1-1211111111-122-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-2-2-2-2111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-12-1-12-12-122-122-122222222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ2822222222-1222222222-12-1-12-12-122-122-122222222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ2922222222-1222-2-2-2-222-12-1-12-12-122-122-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-21111-1-1-1-100000000
χ3022222222-1222-2-2-2-222-12-1-12-12-122-122-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-222-1-1-1-1111100000000
χ3122222222-12-2-22222-2-2-12-1-12-12-122-122-122222222-1-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-12-2-22222-2-2-12-1-12-12-122-122-122222222-1-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-1-1-111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-12-2-2-2-2-2-2-2-2-12-1-12-12-122-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-2-1-122-1-1221111111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-12-2-2-2-2-2-2-2-2-12-1-12-12-122-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-111-2-211-2-2-1-122-1-1221111111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3522-22-2-2-2222-222i2i−2i−2i-2222-2-2-222-2-2-222-2-22i2i2i2i−2i−2i−2i−2i2−2i2i22-2-22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ3622-22-2-2-2222-22−2i−2i2i2i-2222-2-2-222-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i22i−2i22-2-22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ3722-22-2-2-222-12-22i2i−2i−2i2-22-1-2-212-1-2112-11-2−i−i−i−iiiii-12i−2i-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-1111100000000000000000000
χ3822-22-2-2-222-12-22i2i−2i−2i2-22-1-2-212-1-2112-11-2−i−i−i−iiiii-12i−2i-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii2i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-100000000000000000000
χ3922-22-2-2-222-12-2−2i−2i2i2i2-22-1-2-212-1-2112-11-2iiii−i−i−i−i-1−2i2i-1-111-11122-1-1-2-211−2i−2iii2i2i−i−i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-100000000000000000000
χ4022-22-2-2-222-12-2−2i−2i2i2i2-22-1-2-212-1-2112-11-2iiii−i−i−i−i-1−2i2i-1-111-11122-1-1-2-211−2i−2iii2i2i−i−i−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-1111100000000000000000000
χ4122-22-2-2-222-1-222i2i−2i−2i-222-1-2-212-1-2112-11-2−i−i−i−iiiii-1−2i2i-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−2i−2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i300000000000000000000
χ4222-22-2-2-222-1-222i2i−2i−2i-222-1-2-212-1-2112-11-2−i−i−i−iiiii-1−2i2i-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−2i−2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ4322-22-2-2-222-1-22−2i−2i2i2i-222-1-2-212-1-2112-11-2iiii−i−i−i−i-12i−2i-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i300000000000000000000
χ4422-22-2-2-222-1-22−2i−2i2i2i-222-1-2-212-1-2112-11-2iiii−i−i−i−i-12i−2i-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ4522-22-2-2-22-122-22i2i−2i−2i2-2-1211-2-121-2-2-12-212i2i2i2i−2i−2i−2i−2i-12i−2i-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002i−2i2-2-1-111−i−iii00000000
χ4622-22-2-2-22-122-22i2i−2i−2i2-2-1211-2-121-2-2-12-212i2i2i2i−2i−2i−2i−2i-12i−2i-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000−2i2i-2211-1-1ii−i−i00000000
χ4722-22-2-2-22-122-2−2i−2i2i2i2-2-1211-2-121-2-2-12-21−2i−2i−2i−2i2i2i2i2i-1−2i2i-1-111-111-1-12211-2-2ii−2i−2i−i−i2i2iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002i−2i-2211-1-1−i−iii00000000
χ4822-22-2-2-22-122-2−2i−2i2i2i2-2-1211-2-121-2-2-12-21−2i−2i−2i−2i2i2i2i2i-1−2i2i-1-111-111-1-12211-2-2ii−2i−2i−i−i2i2iii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000−2i2i2-2-1-111ii−i−i00000000
χ4922-22-2-2-22-12-222i2i−2i−2i-22-1211-2-121-2-2-12-212i2i2i2i−2i−2i−2i−2i-1−2i2i-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ5022-22-2-2-22-12-222i2i−2i−2i-22-1211-2-121-2-2-12-212i2i2i2i−2i−2i−2i−2i-1−2i2i-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ5122-22-2-2-22-12-22−2i−2i2i2i-22-1211-2-121-2-2-12-21−2i−2i−2i−2i2i2i2i2i-12i−2i-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ5222-22-2-2-22-12-22−2i−2i2i2i-22-1211-2-121-2-2-12-21−2i−2i−2i−2i2i2i2i2i-12i−2i-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ532-222-22-2-222220000-2-2-2-222222-2-2-2-2-22-200000000200-2-2222-2-22-22-22-22-200000000000022-2-222-2-200000000000000002-22-200002-22-22-22-20000000000000000000000000000
χ542-222-22-2-222220000-2-2-2-222222-2-2-2-2-22-200000000200-2-2222-2-22-22-22-22-200000000000022-2-222-2-20000000000000000-22-220000-22-22-22-220000000000000000000000000000
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χ1284-4-444-44-4-2-24-40000-4422222-2-2-2-2-2222-22i32i3−2i3−2i3−2i3−2i32i32i3100-1-1-1-1111-22-222-22-2002i3−2i300−2i32i3000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1294-4-444-44-4-2-2-4400004-422222-2-2-2-2-2222-2−2i3−2i32i32i32i32i3−2i3−2i3100-1-1-1-11112-22-2-22-22002i3−2i300−2i32i30000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1304-4-444-44-4-2-2-4400004-422222-2-2-2-2-2222-22i32i3−2i3−2i3−2i3−2i32i32i3100-1-1-1-11112-22-2-22-2200−2i32i3002i3−2i30000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1314-4-4-4-44444-2004-4-4400-42-442-42-42-24-2-24-22-222-22-2-200-222-222-200000000000000004-4-4400000000-22-2200002-22-2000000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-200-444-400-42-442-42-42-24-2-242-22-2-22-22-200-222-222-20000000000000000-444-4000000002-22-20000-22-22000000000000000000000000000000000000000000000000
χ1334-4-4-4-4444-24004-4-44002-42-2-42-42-44-244-24-44-4-44-44-200-222-222-20000000000000000-222-200000000-22-2200002-22-2000000000000000000000000000000000000000000000000
χ1344-4-4-4-4444-2400-444-4002-42-2-42-42-44-244-2-44-444-44-4-200-222-222-200000000000000002-2-22000000002-22-20000-22-22000000000000000000000000000000000000000000000000
χ1354-4-4-4-4444-2-2004-4-4400222-222222-2-2-2-2-2-22-222-22-21001-1-11-1-110000000000000000-222-23i−3i−3i3i−3i3i3i−3i1-11-1−3i3i3i−3i-11-113i−3i−3i3i00000000000000000000000000000000000000000000
χ1364-4-4-4-4444-2-2004-4-4400222-222222-2-2-2-2-2-22-222-22-21001-1-11-1-110000000000000000-222-2−3i3i3i−3i3i−3i−3i3i1-11-13i−3i−3i3i-11-11−3i3i3i−3i00000000000000000000000000000000000000000000
χ1374-4-4-4-4444-2-200-444-400222-222222-2-2-2-2-22-22-2-22-221001-1-11-1-1100000000000000002-2-223i−3i−3i3i−3i3i3i−3i-11-113i−3i−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000000000000000
χ1384-4-4-4-4444-2-200-444-400222-222222-2-2-2-2-22-22-2-22-221001-1-11-1-1100000000000000002-2-22−3i3i3i−3i3i−3i−3i3i-11-11−3i3i3i−3i1-11-13i−3i−3i3i00000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).