Finite Group Databasebeta

← Group #13180903

Character table — Group #13180903

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222444444444444666666666666668888888888888888121212121616161616161616181818181818242424242424242424242424242424242424242424242424242436363636545472727272
order124433661212121233366612121212121222244466661212121233336666121212121212121266121233661212121222244466666666666661212121212121212121212121266121224661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-111-1-111-1-111111111111111111111111111111-1-11-1-1111-1-11111-1-1-1-1111-1-11111-1-1-1-11-11-1-1-1-1-1-1-1
χ31111111111111111111111111-111-11-1-111-1-1111111111111111111111111111111-11-1-11-11-1-111-1-1-1-111111-1-111-1-1-1-11111-11-11-1-1-1-1-1-1
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−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−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ61111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-111-111-1-111-1-1−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11-1-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1-1-11+i321−i321+i321−i32
χ71111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321-111-11-1-111-1-111−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-11-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11-1-11+i321−i321+i321−i32
χ81111111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321-1-11-1-1-1-1-1-1-1-1-1-1−1−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+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-1111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-111−1−i32−1+i32−1−i32−1+i32
χ91111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+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+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ101111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-111-111-1-111-1-1−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11-1-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1-1-11−i321+i321−i321+i32
χ111111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321-111-11-1-111-1-111−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-11-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11-1-11−i321+i321−i321+i32
χ121111111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321-1-11-1-1-1-1-1-1-1-1-1-1−1+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−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-111−1+i32−1−i32−1+i32−1−i32
χ1311-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ1411-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-11-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-111-1-11111-1-1-1-11-1-111-1-1-1-11111-111-1-1111-1-1
χ1511-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-11-1-11-1111-1-1
χ1611-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1-1-111
χ1711-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1111-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1111-11+i321−i32−1−i32−1+i32
χ1811-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-11-11-1111-1-1-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1-11−1−i32−1+i321+i321−i32
χ1911-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1111-1-1-11111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-11-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11-11−1−i32−1+i321+i321−i32
χ2011-1-11111-1-1-1-11−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1111-1-1-1-11111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-11-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-11+i321−i32−1−i32−1+i32
χ2111-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1111-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1111-11−i321+i32−1+i32−1−i32
χ2211-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-11-11-1111-1-1-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1-11−1+i32−1−i321−i321+i32
χ2311-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1111-1-1-11111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-11-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11-11−1+i32−1−i321−i321+i32
χ2411-1-11111-1-1-1-11−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1111-1-1-1-11111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-11-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-11−i321+i32−1+i32−1−i32
χ2522222-12-122-1-1-122-122-1-1222220220200-1-100-1-12-12-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-1020020-100220000-1-1-1-1-100220000-1-1-1-10-10-1000000
χ2622222-12-122-1-1-122-122-1-1222220-220-2001100112-12-12-12-122-1-122-1-12-12-1-1-1-1-1-1-1-1-10-200-20-100-2-200001111-100-2-2000011110101000000
χ2722222-12-122-1-1-1−1−i3−1+i3-1−1−i3−1+i3-1-1−1−i3−1−i3−1+i3−1+i320220200-1-100-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i32−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i322-12-11+i321−i321+i321−i321+i321+i321−i321−i32020020-100−1−i3−1+i300001+i321+i321−i321−i32-100−1−i3−1+i300001+i321+i321−i321−i320-10-1000000
χ2822222-12-122-1-1-1−1−i3−1+i3-1−1−i3−1+i3-1-1−1−i3−1−i3−1+i3−1+i320-220-200110011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i32−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i322-12-11+i321−i321+i321−i321+i321+i321−i321−i320-200-20-1001+i31−i30000−1−i32−1−i32−1+i32−1+i32-1001+i31−i30000−1−i32−1−i32−1+i32−1+i320101000000
χ2922222-12-122-1-1-1−1+i3−1−i3-1−1+i3−1−i3-1-1−1+i3−1+i3−1−i3−1−i320220200-1-100-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i32−1+i3−1+i31−i321−i32−1−i3−1−i31+i321+i322-12-11−i321+i321−i321+i321−i321−i321+i321+i32020020-100−1+i3−1−i300001−i321−i321+i321+i32-100−1+i3−1−i300001−i321−i321+i321+i320-10-1000000
χ3022222-12-122-1-1-1−1+i3−1−i3-1−1+i3−1−i3-1-1−1+i3−1+i3−1−i3−1−i320-220-200110011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i32−1+i3−1+i31−i321−i32−1−i3−1−i31+i321+i322-12-11−i321+i321−i321+i321−i321−i321+i321+i320-200-20-1001−i31+i30000−1+i32−1+i32−1−i32−1−i32-1001−i31+i30000−1+i32−1+i32−1−i32−1−i320101000000
χ312222-12-12-1-122-122-122-1-12222220220-1-100-1-100-12-12-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1200200-12200-1-1-1-10000-12200-1-1-1-10000-10-10000000
χ322222-12-12-1-122-122-122-1-122222-202-2011001100-12-12-12-12-1-122-1-122-12-12-1-1-1-1-1-1-1-1-200-200-1-2-20011110000-1-2-200111100001010000000
χ332222-12-12-1-122-1−1−i3−1+i3-1−1−i3−1+i3-1-1−1−i3−1−i3−1+i3−1+i3220220-1-100-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i31+i321+i32−1−i3−1−i31−i321−i32−1+i3−1+i3-12-121+i321−i321+i321−i321+i321+i321−i321−i32200200-1−1−i3−1+i3001+i321+i321−i321−i320000-1−1−i3−1+i3001+i321+i321−i321−i320000-10-10000000
χ342222-12-12-1-122-1−1−i3−1+i3-1−1−i3−1+i3-1-1−1−i3−1−i3−1+i3−1+i32-202-20110011001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i31+i321+i32−1−i3−1−i31−i321−i32−1+i3−1+i3-12-121+i321−i321+i321−i321+i321+i321−i321−i32-200-200-11+i31−i300−1−i32−1−i32−1+i32−1+i320000-11+i31−i300−1−i32−1−i32−1+i32−1+i3200001010000000
χ352222-12-12-1-122-1−1+i3−1−i3-1−1+i3−1−i3-1-1−1+i3−1+i3−1−i3−1−i3220220-1-100-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i31−i321−i32−1+i3−1+i31+i321+i32−1−i3−1−i3-12-121−i321+i321−i321+i321−i321−i321+i321+i32200200-1−1+i3−1−i3001−i321−i321+i321+i320000-1−1+i3−1−i3001−i321−i321+i321+i320000-10-10000000
χ362222-12-12-1-122-1−1+i3−1−i3-1−1+i3−1−i3-1-1−1+i3−1+i3−1−i3−1−i32-202-20110011001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i31−i321−i32−1+i3−1+i31+i321+i32−1−i3−1−i3-12-121−i321+i321−i321+i321−i321−i321+i321+i32-200-200-11−i31+i300−1+i32−1+i32−1−i32−1−i320000-11−i31+i300−1+i32−1+i32−1−i32−1−i3200001010000000
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χ894-4−4i4i-242-42i−2i−4i4i-21+i31−i32−1−i3−1+i32i−2i−2ζ112ζ11−2ζ72ζ7000000−2i32i300−232300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i3ζ11−ζ11−2ζ112ζ11ζ7−ζ7−2ζ72ζ70000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700000000000−3+i323−i323+i32−3−i32000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000
χ904-4−4i4i-242-42i−2i−4i4i-21+i31−i32−1−i3−1+i32i−2i−2ζ112ζ11−2ζ72ζ70000002i3−2i30023−2300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i3ζ11−ζ11−2ζ112ζ11ζ7−ζ7−2ζ72ζ70000−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7000000000003−i32−3+i32−3−i323+i320000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000
χ914-4−4i4i-242-42i−2i−4i4i-21−i31+i32−1+i3−1−i32i−2i−2ζ72ζ7−2ζ112ζ11000000−2i32i300−232300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i3ζ7−ζ7−2ζ72ζ7ζ11−ζ11−2ζ112ζ110000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11000000000003+i32−3−i32−3+i323−i32000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000000
χ924-4−4i4i-242-42i−2i−4i4i-21−i31+i32−1+i3−1−i32i−2i−2ζ72ζ7−2ζ112ζ110000002i3−2i30023−2300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i3ζ7−ζ7−2ζ72ζ7ζ11−ζ11−2ζ112ζ110000−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100000000000−3−i323+i323−i32−3+i32000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000000
χ9366666-36-366-3-3-300-300-3-30000-206-20600-3-300-3-30000000000000000-21-21000000000-200-20100000000000010000000000000101000000
χ9466666-36-366-3-3-300-300-3-30000-20-6-20-6003300330000000000000000-21-2100000000020020100000000000010000000000000-10-1000000
χ956666-36-36-3-366-300-300-3-30000-260-260-3-300-3-30000000000000000001-21-200000000-200-200100000000000010000000000001010000000
χ966666-36-36-3-366-300-300-3-30000-2-60-2-603300330000000000000000001-21-20000000020020010000000000001000000000000-10-10000000
χ9766-6-66-36-3-6-633-300-300330000206-20-600-3-3003300000000000000002-1-21000000000200-20-100000000000010000000000000-101000000
χ9866-6-66-36-3-6-633-300-30033000020-6-206003300-3-300000000000000002-1-21000000000-20020-10000000000001000000000000010-1000000
χ9966-6-6-36-3633-6-6-300-300330000260-2-60-3-30033000000000000000000-121-200000000200-200-10000000000001000000000000-1010000000
χ10066-6-6-36-3633-6-6-300-3003300002-60-2603300-3-3000000000000000000-121-200000000-200200-1000000000000100000000000010-10000000
χ1018-88i−8i-4-444−4i4i−4i4i2-4-4-2442i−2i4i−4i4i−4i000000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000-1-111i−ii−i000000000000000000000000000000000000000000
χ1028-88i−8i-4-444−4i4i−4i4i22+2i32−2i3-2−2−2i3−2+2i32i−2i4ζ11−4ζ114ζ7−4ζ700000000000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ700001+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7000000000000000000000000000000000000000000
χ1038-88i−8i-4-444−4i4i−4i4i22−2i32+2i3-2−2+2i3−2−2i32i−2i4ζ7−4ζ74ζ11−4ζ1100000000000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ1100001−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11000000000000000000000000000000000000000000
χ1048-8−8i8i-4-4444i−4i4i−4i2-4-4-244−2i2i−4i4i−4i4i000000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000-1-111−ii−ii000000000000000000000000000000000000000000
χ1058-8−8i8i-4-4444i−4i4i−4i22+2i32−2i3-2−2−2i3−2+2i3−2i2i−4ζ114ζ11−4ζ74ζ700000000000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ700001+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7000000000000000000000000000000000000000000
χ1068-8−8i8i-4-4444i−4i4i−4i22−2i32+2i3-2−2+2i3−2−2i3−2i2i−4ζ74ζ7−4ζ114ζ1100000000000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ1100001−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11000000000000000000000000000000000000000000
χ10712121212-6-6-6-6-6-6-6-6300300330000-400-400000000000000000000000000222200000000000000-1000000000000-10000000000000000000000
χ1081212-12-12-6-6-6-66666300300-3-30000400-400000000000000000000000000-2-222000000000000001000000000000-10000000000000000000000

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