Finite Group Databasebeta

← Group #11861032

Character table — Group #11861032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222224444444444444444444444444444448888888888888888181818183636363636361111222222222222222222444444444444444444444444444444888888888888888818181818363636363636
order12442333346666121212121212121224446666881212121212121212121212121212121212121212666612121212242424242424242488882488882244266664666612121212121212122444666688121212121212121212121212121212121212121266661212121224242424242424248888248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ61111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911-1-1-1111111111-1-1-1-1-1-1-1-11-1i−i-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i1-111-1-1-1111111111-1-1-1-1-1-1-1-11-1i−i-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i1-1
χ1011-1-1-1111111111-1-1-1-1-1-1-1-11-1i−i-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1i−i-1-1-1-1i−i1111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-11−ii-11
χ1111-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i-11i−i-11
χ1211-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii1-111-1-1-1111111111-1-1-1-1-1-1-1-11-1−ii-1-1-1-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii1-1
χ1311-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-1−ii1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii1-111-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-1−ii1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii1-1
χ1411-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-1−ii1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii1-1i−i-1111-1-1-1111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-1−ii1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii1-1i−i-11
χ1511-1-1-1111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-1i−i1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−iii−i−i1-1−ii-1111-1-1-1111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-1i−i1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−iii−i−i1-1−ii-11
χ1611-1-1-1111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-1i−i1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i1-111-1-1-1111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-1i−i1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i1-1
χ17222222-1-1-122-1-1-122-1-1-1-1-1-122222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000222222-1-1-122-1-1-122-1-1-1-1-1-122222-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000
χ18222222-1-1-122-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-22-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-21110000000000222222-1-1-122-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-22-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-21110000000000
χ19222222-1-1-122-1-1-122-1-1-1-1-1-1-2-2222-1-1-1-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-21110000000000222222-1-1-122-1-1-122-1-1-1-1-1-1-2-2222-1-1-1-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-21110000000000
χ20222222-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1222-1-1-1-2-2111111-2-2111111-2111-21112-1-1-12-1-1-10000000000222222-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1222-1-1-1-2-2111111-2-2111111-2111-21112-1-1-12-1-1-10000000000
χ2122222-12-1-12-12-1-1-1-122-1-1-1-12222-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000022222-12-1-12-12-1-1-1-122-1-1-1-12222-12-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000000
χ2222222-12-1-12-12-1-1-1-122-1-1-1-122-2-2-12-1-1-2-2-12-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211000000000022222-12-1-12-12-1-1-1-122-1-1-1-122-2-2-12-1-1-2-2-12-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-2110000000000
χ2322222-12-1-12-12-1-1-1-122-1-1-1-1-2-222-12-1-1-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-211000000000022222-12-1-12-12-1-1-1-122-1-1-1-1-2-222-12-1-1-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-2110000000000
χ2422222-12-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-122-12-1-111-2-2111111-2-211111-2111-211-12-1-1-12-1-1000000000022222-12-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-122-12-1-111-2-2111111-2-211111-2111-211-12-1-1-12-1-10000000000
χ2522222-1-12-12-1-12-1-1-1-1-122-1-12222-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1000000000022222-1-12-12-1-12-1-1-1-1-122-1-12222-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-10000000000
χ2622222-1-12-12-1-12-1-1-1-1-122-1-122-2-2-1-12-1-2-2-1-12-11111-2-2111111-2-211-1-12-1-1-12-111-2111-21000000000022222-1-12-12-1-12-1-1-1-1-122-1-122-2-2-1-12-1-2-2-1-12-11111-2-2111111-2-211-1-12-1-1-12-111-2111-210000000000
χ2722222-1-12-12-1-12-1-1-1-1-122-1-1-2-222-1-12-1-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-21000000000022222-1-12-12-1-12-1-1-1-1-122-1-1-2-222-1-12-1-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-210000000000
χ2822222-1-12-12-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-122-1-12-11111-2-2111111-2-21111-2111-21-1-12-1-1-12-1000000000022222-1-12-12-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-122-1-12-11111-2-2111111-2-21111-2111-21-1-12-1-1-12-10000000000
χ2922222-1-1-122-1-1-12-1-1-1-1-1-1222222-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12000000000022222-1-1-122-1-1-12-1-1-1-1-1-1222222-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ3022222-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-2-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12111-2111-2000000000022222-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-1-1-12-2-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12111-2111-20000000000
χ3122222-1-1-122-1-1-12-1-1-1-1-1-122-2-222-1-1-12-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2111-2111-2000000000022222-1-1-122-1-1-12-1-1-1-1-1-122-2-222-1-1-12-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2111-2111-20000000000
χ3222222-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1222-1-1-12111111-2-2111111-2-2111-2111-2-1-1-12-1-1-12000000000022222-1-1-122-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1222-1-1-12111111-2-2111111-2-2111-2111-2-1-1-12-1-1-120000000000
χ332222-22222-22222222222220000-2-2-2-200-2-2-2-2000000000000000000000000000000002-22-20000002222-22222-22222222222220000-2-2-2-200-2-2-2-2000000000000000000000000000000002-22-2000000
χ342222-22222-22222222222220000-2-2-2-200-2-2-2-200000000000000000000000000000000-22-220000002222-22222-22222222222220000-2-2-2-200-2-2-2-200000000000000000000000000000000-22-22000000
χ3522-2-222222-22222-2-2-2-2-2-2-2-20000222200-2-2-2-2000000000000000000000000000000002i−2i−2i2i00000022-2-222222-22222-2-2-2-2-2-2-2-20000222200-2-2-2-2000000000000000000000000000000002i−2i−2i2i000000
χ3622-2-222222-22222-2-2-2-2-2-2-2-20000222200-2-2-2-200000000000000000000000000000000−2i2i2i−2i00000022-2-222222-22222-2-2-2-2-2-2-2-20000222200-2-2-2-200000000000000000000000000000000−2i2i2i−2i000000
χ3722-2-2-22-1-1-122-1-1-1-2-21111112-22i−2i-21112i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-21112i−i−i−i−2iiii000000000022-2-2-22-1-1-122-1-1-1-2-21111112-22i−2i-21112i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-21112i−i−i−i−2iiii0000000000
χ3822-2-2-22-1-1-122-1-1-1-2-21111112-2−2i2i-2111−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111−2iiii2i−i−i−i000000000022-2-2-22-1-1-122-1-1-1-2-21111112-2−2i2i-2111−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111−2iiii2i−i−i−i0000000000
χ3922-2-2-22-1-1-122-1-1-1-2-2111111-222i−2i-2111−2i2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-1−2iiii2i−i−i−i000000000022-2-2-22-1-1-122-1-1-1-2-2111111-222i−2i-2111−2i2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-1−2iiii2i−i−i−i0000000000
χ4022-2-2-22-1-1-122-1-1-1-2-2111111-22−2i2i-21112i−2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-12i−i−i−i−2iiii000000000022-2-2-22-1-1-122-1-1-1-2-2111111-22−2i2i-21112i−2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-12i−i−i−i−2iiii0000000000
χ4122-2-2-2-12-1-12-12-1-111-2-211112-22i−2i1-2112i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211−i2i−i−ii−2iii000000000022-2-2-2-12-1-12-12-1-111-2-211112-22i−2i1-2112i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211−i2i−i−ii−2iii0000000000
χ4222-2-2-2-12-1-12-12-1-111-2-211112-2−2i2i1-211−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211i−2iii−i2i−i−i000000000022-2-2-2-12-1-12-12-1-111-2-211112-2−2i2i1-211−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211i−2iii−i2i−i−i0000000000
χ4322-2-2-2-12-1-12-12-1-111-2-21111-222i−2i1-211−2i2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-1i−2iii−i2i−i−i000000000022-2-2-2-12-1-12-12-1-111-2-21111-222i−2i1-211−2i2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-1i−2iii−i2i−i−i0000000000
χ4422-2-2-2-12-1-12-12-1-111-2-21111-22−2i2i1-2112i−2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-1−i2i−i−ii−2iii000000000022-2-2-2-12-1-12-12-1-111-2-21111-22−2i2i1-2112i−2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-1−i2i−i−ii−2iii0000000000
χ4522-2-2-2-1-12-12-1-12-11111-2-2112-22i−2i11-212i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21−i−i2i−iii−2ii000000000022-2-2-2-1-12-12-1-12-11111-2-2112-22i−2i11-212i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21−i−i2i−iii−2ii0000000000
χ4622-2-2-2-1-12-12-1-12-11111-2-2112-2−2i2i11-21−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21ii−2ii−i−i2i−i000000000022-2-2-2-1-12-12-1-12-11111-2-2112-2−2i2i11-21−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21ii−2ii−i−i2i−i0000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.