Finite Group Databasebeta

← Group #11919840

Character table — Group #11919840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111111111111111121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222334444666666121212121212121222244444446666661212121212121212121212121212333333666666666666666666121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4111111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6111111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-11-1-11111-1-11111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ71111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ81111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32
χ91111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111
χ101111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-111-1-11-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32
χ111111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-111-1-11-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i32
χ121111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-111-1-11-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i3211−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1
χ131111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ141111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111
χ151111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32
χ161111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-111-1-11-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32
χ171111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-111-1-11-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i3211+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1
χ181111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-111-1-11-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i321−1−i321−1+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i32
χ193333333333333333333333333-1-1-1-1-1-1-13-13-13-1-1-1-1-1-1-1-1-1-1-1-1-13-13-1000000000000000000000000000000000000000000000000
χ20333333333333333333333333-13-1-1-1-1-1-1-13-13-13-1-1-1-1-1-1-1-1-1-1-1-1-13-13000000000000000000000000000000000000000000000000
χ21333333333333333333333333-1-13-1-1-1-13-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-1000000000000000000000000000000000000000000000000
χ22333333333333333333333333-1-1-13-13-1-1-1-1-1-1-1-1-1-13-13-13-13-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ23333333333333333333333333-1-1-1-13-13-1-1-1-1-1-1-1-1-1-13-13-13-13-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ24333333-3-3-3-3333333-3-3-3-3-3-3-3-33-11-1-111-1-313-13-111-1-1-1-11111-1-1-31-31000000000000000000000000000000000000000000000000
χ25333333-3-3-3-3333333-3-3-3-3-3-3-3-3-131-1-111-11-3-13-1311-1-1-1-11111-1-11-31-3000000000000000000000000000000000000000000000000
χ26333333-3-3-3-3333333-3-3-3-3-3-3-3-3-1-113-1-31-111-1-1-1-1113-13-1-31-31-1-11111000000000000000000000000000000000000000000000000
χ27333333-3-3-3-3333333-3-3-3-3-3-3-3-3-1-11-131-3-111-1-1-1-111-13-131-31-3-1-11111000000000000000000000000000000000000000000000000
χ28333333-3-3-3-3333333-3-3-3-3-3-3-3-3-1-1-3-1-111311-1-1-1-1-3-3-1-1-1-11111331111000000000000000000000000000000000000000000000000
χ293333−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323-1-1-1-1-1-1-13-1−3−3i321+i32−3+3i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321−i32−3−3i321+i32−3+3i321−i32000000000000000000000000000000000000000000000000
χ303333−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-13-1-1-1-1-1-1-131+i32−3−3i321−i32−3+3i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321−i321+i32−3−3i321−i32−3+3i32000000000000000000000000000000000000000000000000
χ313333−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-13-1-1-1-13-1-11+i321+i321−i321−i32−3−3i32−3+3i321+i321+i321−i321−i321+i321+i321−i321−i32−3−3i32−3+3i321+i321+i321−i321−i32000000000000000000000000000000000000000000000000
χ323333−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-1-13-13-1-1-1-11+i321+i321−i321−i321+i321−i32−3−3i321+i32−3+3i321−i32−3−3i321+i32−3+3i321−i321+i321−i321+i321+i321−i321−i32000000000000000000000000000000000000000000000000
χ333333−3−3i32−3+3i323333−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32-1-1-1-13-13-1-1-11+i321+i321−i321−i321+i321−i321+i32−3−3i321−i32−3+3i321+i32−3−3i321−i32−3+3i321+i321−i321+i321+i321−i321−i32000000000000000000000000000000000000000000000000
χ343333−3−3i32−3+3i32-3-3-3-3−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i323+3i323+3i323+3i323+3i323−3i323−3i323−3i323−3i323-11-1-111-1-31−3−3i321+i32−3+3i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i323+3i32−1−i323−3i32−1+i32000000000000000000000000000000000000000000000000
χ353333−3−3i32−3+3i32-3-3-3-3−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i323+3i323+3i323+3i323+3i323−3i323−3i323−3i323−3i32-131-1-111-11-31+i32−3−3i321−i32−3+3i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i323+3i32−1+i323−3i32000000000000000000000000000000000000000000000000
χ363333−3−3i32−3+3i32-3-3-3-3−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i323+3i323+3i323+3i323+3i323−3i323−3i323−3i323−3i32-1-113-1-31-1111+i321+i321−i321−i32−1−i32−1+i32−3−3i321+i32−3+3i321−i323+3i32−1−i323−3i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32000000000000000000000000000000000000000000000000
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χ794-44-4−2+2i3−2−2i34i−4i4i−4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i34ζ7−4ζ74ζ7−4ζ74ζ11−4ζ114ζ11−4ζ110000000000000000000000000000001−1+i32−1−i321−1+i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32-11−i321+i32i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11i−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11
χ804-44-4−2+2i3−2−2i34i−4i4i−4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i34ζ7−4ζ74ζ7−4ζ74ζ11−4ζ114ζ11−4ζ11000000000000000000000000000000−1−i321−1+i32−1+i32−1−i3211+i32−1−i32-111−i32−1+i321−i32−1+i321+i32−1−i32-111+i32-11−i321−i321+i32-1ζ11−ζ11ζ11−ζ11i−ii−iζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11i−ii−i
χ814-44-4−2+2i3−2−2i34i−4i4i−4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i34ζ7−4ζ74ζ7−4ζ74ζ11−4ζ114ζ11−4ζ11000000000000000000000000000000−1+i32−1−i321−1−i321−1+i321−i32−1+i321+i32−1−i32-111+i32−1−i32-111−i32−1+i321−i321+i32-11+i32-11−i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11i−ii−iζ11−ζ11ζ11−ζ11i−ii−iζ7−ζ7ζ7−ζ7
χ824-44-4−2+2i3−2−2i3−4i4i−4i4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ74ζ7−4ζ114ζ11−4ζ114ζ110000000000000000000000000000001−1+i32−1−i321−1+i32−1−i32-111−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32-11−i321+i32−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ii−ii−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11
χ834-44-4−2+2i3−2−2i3−4i4i−4i4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ74ζ7−4ζ114ζ11−4ζ114ζ11000000000000000000000000000000−1−i321−1+i32−1+i32−1−i3211+i32−1−i32-111−i32−1+i321−i32−1+i321+i32−1−i32-111+i32-11−i321−i321+i32-1−ζ11ζ11−ζ11ζ11−ii−ii−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ii−ii
χ844-44-4−2+2i3−2−2i3−4i4i−4i4i2−2i3−2+2i32+2i3−2−2i32−2i32+2i3−4ζ74ζ7−4ζ74ζ7−4ζ114ζ11−4ζ114ζ11000000000000000000000000000000−1+i32−1−i321−1−i321−1+i321−i32−1+i321+i32−1−i32-111+i32−1−i32-111−i32−1+i321−i321+i32-11+i32-11−i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ii−ii−ζ11ζ11−ζ11ζ11−ii−ii−ζ7ζ7−ζ7ζ7
χ854-4-44444-4-44-4-4-4-4444-4-444-4-44000000000000000000000000000000111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-111-1-111-1-111-1-11
χ864-4-44444-4-44-4-4-4-4444-4-444-4-44000000000000000000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ874-4-44444-4-44-4-4-4-4444-4-444-4-44000000000000000000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ884-4-4444-444-4-4-4-4-444-444-4-444-4000000000000000000000000000000111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-111-1-111-1-111-1-111-1
χ894-4-4444-444-4-4-4-4-444-444-4-444-4000000000000000000000000000000−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ904-4-4444-444-4-4-4-4-444-444-4-444-4000000000000000000000000000000−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ914-4-44−2−2i3−2+2i34-4-442+2i32+2i32−2i32−2i3−2−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i30000000000000000000000000000001−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ924-4-44−2−2i3−2+2i34-4-442+2i32+2i32−2i32−2i3−2−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3000000000000000000000000000000−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-11−1+i321−i321−i32−1+i321-1-11−1−i321+i321+i32−1−i32
χ934-4-44−2−2i3−2+2i34-4-442+2i32+2i32−2i32−2i3−2−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3000000000000000000000000000000−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1−1+i321−1−i32−1−i32−1+i321−1+i321−i321−i32−1+i321-1-11−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321-1-11
χ944-4-44−2−2i3−2+2i3-444-42+2i32+2i32−2i32−2i3−2−2i3−2+2i32+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i30000000000000000000000000000001−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-11+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ954-4-44−2−2i3−2+2i3-444-42+2i32+2i32−2i32−2i3−2−2i3−2+2i32+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i32−1−i32−1+i321−1+i321−1−i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-11−i32−1+i32−1+i321−i32-111-11+i32−1−i32−1−i321+i32
χ964-4-44−2−2i3−2+2i3-444-42+2i32+2i32−2i32−2i3−2−2i3−2+2i32+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000000000−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-1−1+i321−1−i32−1−i32−1+i3211−i32−1+i32−1+i321−i32-111-11+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32-111-1
χ974-4-44−2+2i3−2−2i34-4-442−2i32−2i32+2i32+2i3−2+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i30000000000000000000000000000001−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ984-4-44−2+2i3−2−2i34-4-442−2i32−2i32+2i32+2i3−2+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3000000000000000000000000000000−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1−1−i321−1+i32−1+i32−1−i321−1−i321+i321+i32−1−i321-1-11−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-11
χ994-4-44−2+2i3−2−2i34-4-442−2i32−2i32+2i32+2i3−2+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3000000000000000000000000000000−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321-1-11−1−i321+i321+i32−1−i321-1-11−1+i321−i321−i32−1+i32
χ1004-4-44−2+2i3−2−2i3-444-42−2i32−2i32+2i32+2i3−2+2i3−2−2i32−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i30000000000000000000000000000001−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-11−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ1014-4-44−2+2i3−2−2i3-444-42−2i32−2i32+2i32+2i3−2+2i3−2−2i32−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−1−i321−1+i32−1+i32−1−i3211+i321+i32-1-11−i321−i321−i321−i321+i321+i32-1-1−1−i321−1+i32−1+i32−1−i3211+i32−1−i32−1−i321+i32-111-11−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-1
χ1024-4-44−2+2i3−2−2i3-444-42−2i32−2i32+2i32+2i3−2+2i3−2−2i32−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000000000−1+i32−1−i321−1−i321−1+i321−i321−i321+i321+i32-1-11+i321+i32-1-11−i321−i32−1+i32−1−i321−1−i321−1+i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32-111-11+i32−1−i32−1−i321+i32-111-11−i32−1+i32−1+i321−i32

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.