Finite Group Databasebeta

← Group #11786098

Character table — Group #11786098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444466666666666666666666666666666666666666666666666624242424242424242424242472727272
order122244442233446666666666888888881212121212121212121212122424242424242424242424242424242436666666661212121212121212121224242424242424242424242424242424242424242424242444444444888888881212121212121212121212121212121224242424242424242424242424242424888824242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−ii−iii−i−iii−i−i−ii−ii
χ121111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−ii−i−iii−i−iiii−ii−i
χ131111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iiii−i−ii
χ141111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i−iii−i
χ151111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ1722222222222-12222-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-12222-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111110000000000000000
χ1922222222222-12222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122221111111111111111-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-21111111122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ2022222222222-12222-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122221111111111111111-122-1-1-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2222222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ212222222222-1222-1-12222-12222222222222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ222222222222-1222-1-12222-12222222222222222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000-2-2-2-2111111110000
χ232222222222-1222-1-12222-1222-2-2-2-2-2-2-2-222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000000000000000000000000000000022-2-2-1-1-1-111110000
χ242222222222-1222-1-12222-1222-2-2-2-2-2-2-2-222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ2522222222-2-222-2-222-2-2-2-22222000000002222-2-2-2-2222200000000000000002-2-222-2-2-2-22-2-2-22222-2-2-200000000000000000000000022-2-222-2-2000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-222-2-222-2-2-2-22222000000002222-2-2-2-2222200000000000000002-2-222-2-2-2-22-2-2-22222-2-2-2000000000000000000000000-2-222-2-22200000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-22-1-2-22211112-1-1-100000000-1-1-1-1111122223333−3−3−3−33333−3−3−3−3-1-2-2-1-11111-1-211-1-1-1-1-21100003333−3−3−3−300003333−3−3−3−322-2-222-2-200000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−30000000000000000
χ2822222222-2-22-1-2-22211112-1-1-100000000-1-1-1-1111122223333−3−3−3−33333−3−3−3−3-1-2-2-1-11111-1-211-1-1-1-1-21100003333−3−3−3−300003333−3−3−3−3-2-222-2-222000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333330000000000000000
χ2922222222-2-22-1-2-22211112-1-1-100000000-1-1-1-111112222−3−3−3−33333−3−3−3−33333-1-2-2-1-11111-1-211-1-1-1-1-2110000−3−3−3−333330000−3−3−3−3333322-2-222-2-200000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−333330000000000000000
χ3022222222-2-22-1-2-22211112-1-1-100000000-1-1-1-111112222−3−3−3−33333−3−3−3−33333-1-2-2-1-11111-1-211-1-1-1-1-2110000−3−3−3−333330000−3−3−3−33333-2-222-2-222000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−30000000000000000
χ312222-2-2-2-22222-2-2222222222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-2-2-222000000002222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-22222-2-200000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ332222-2-2-2-2222-1-2-222-1-1-1-12-1-1-10000000011111111-2-2-2-23333−3−3−3−3−3−3−3−33333-122-1-1-1-1-1-1-1-2111111-21100003333−3−3−3−30000−3−3−3−3333322-2-2-2-22200000000-1-1-1-111111111-1-1-1-13333−3−3−3−3−3−3−3−333330000000000000000
χ342222-2-2-2-2222-1-2-222-1-1-1-12-1-1-10000000011111111-2-2-2-23333−3−3−3−3−3−3−3−33333-122-1-1-1-1-1-1-1-2111111-21100003333−3−3−3−30000−3−3−3−33333-2-22222-2-2000000001111-1-1-1-1-1-1-1-11111−3−3−3−333333333−3−3−3−30000000000000000
χ352222-2-2-2-2222-1-2-222-1-1-1-12-1-1-10000000011111111-2-2-2-2−3−3−3−333333333−3−3−3−3-122-1-1-1-1-1-1-1-2111111-2110000−3−3−3−3333300003333−3−3−3−322-2-2-2-22200000000-1-1-1-111111111-1-1-1-1−3−3−3−333333333−3−3−3−30000000000000000
χ362222-2-2-2-2222-1-2-222-1-1-1-12-1-1-10000000011111111-2-2-2-2−3−3−3−333333333−3−3−3−3-122-1-1-1-1-1-1-1-2111111-2110000−3−3−3−3333300003333−3−3−3−3-2-22222-2-2000000001111-1-1-1-1-1-1-1-111113333−3−3−3−3−3−3−3−333330000000000000000
χ372222-2-2-2-2-2-22-1222211112-1-1-12222-2-2-2-21111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111-1-2-2-1-11111-12-1-111112-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ382222-2-2-2-2-2-22-1222211112-1-1-12222-2-2-2-21111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111-1-2-2-1-11111-12-1-111112-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ392222-2-2-2-2-2-22-1222211112-1-1-1-2-2-2-222221111-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-1-2-2-1-11111-12-1-111112-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ402222-2-2-2-2-2-22-1222211112-1-1-1-2-2-2-222221111-1-1-1-1-2-2-2-211111111-1-1-1-1-1-1-1-1-1-2-2-1-11111-12-1-111112-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ412222-2-2-2-2-2-2-1222-1-1-2-2-2-2-12222222-2-2-2-2-2-2-2-22222111122222222-2-2-2-2-2-2-2-2-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ422222-2-2-2-2-2-2-1222-1-1-2-2-2-2-12222222-2-2-2-2-2-2-2-22222111122222222-2-2-2-2-2-2-2-2-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ432222-2-2-2-2-2-2-1222-1-1-2-2-2-2-1222-2-2-2-22222-2-2-2-222221111-2-2-2-2-2-2-2-222222222-111-1-11111-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ442222-2-2-2-2-2-2-1222-1-1-2-2-2-2-1222-2-2-2-22222-2-2-2-222221111-2-2-2-2-2-2-2-222222222-111-1-11111-1-1-1-11111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ4522-2-222-2-22-2222-2-2-222-2-222-2-20000000022-2-222-2-222-2-2000000000000000022-2-2-222-2-22-2-2-222-2-2222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ4622-2-222-2-22-2222-2-2-222-2-222-2-20000000022-2-222-2-222-2-2000000000000000022-2-2-222-2-22-2-2-222-2-222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4722-2-222-2-22-22-12-2-2-2-1-1112-11100000000-1-111-1-11122-2-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-12-211-1-111-1-211-1-1112-1-10000−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3000000002i2i−2i−2i2i2i−2i−2i33−3−333−3−333−3−333−3−3−i−iii−i−iii−i−iii−i−iii0000000000000000
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χ1664-4-44−4i4i4i−4i00-2-2002-2−2i32i32i3−2i3222-22i2−2i2−2i22i2−222222−222i−2i−2i2i−232323−232i−2i−2i2i−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23100-11i3−i3−i3i3-10−33−iii−i03−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ72−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000000000000000000000000000000000000000
χ1674-4-44−4i4i4i−4i00-2-2002-22i3−2i3−2i32i3222-2−2i22i22i2−2i222−22−22222i−2i−2i2i23−23−23232i−2i−2i2i2ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7100-11−i3i3i3−i3-103−3−iii−i0−33i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000000000000000000000000000
χ1684-4-44−4i4i4i−4i00-2-2002-22i3−2i3−2i32i3222-22i2−2i2−2i22i2−222222−222i−2i−2i2i23−23−23232i−2i−2i2i−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7100-11−i3i3i3−i3-103−3−iii−i0−33−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ232−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.