Finite Group Databasebeta

← Group #82104

Character table — Group #82104

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order1222222236666666224444666612121212121212124444444422222222666666662244446666121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-2-2-2-222222-2-2-2-200002i−2i000000002i2i−2i−2i00000000222-2-2-2-222222-2-2-2-200002i−2i000000002i2i−2i−2i00000000
χ14222-2-2-2-222222-2-2-2-20000−2i2i00000000−2i−2i2i2i00000000222-2-2-2-222222-2-2-2-20000−2i2i00000000−2i−2i2i2i00000000
χ15222-2-2-2-22-1-1-1-1111100002i−2i−i3−i3i3i333−3−3−i−iii00000000222-2-2-2-22-1-1-1-1111100002i−2i−i3−i3i3i333−3−3−i−iii00000000
χ16222-2-2-2-22-1-1-1-1111100002i−2ii3i3−i3−i3−3−333−i−iii00000000222-2-2-2-22-1-1-1-1111100002i−2ii3i3−i3−i3−3−333−i−iii00000000
χ17222-2-2-2-22-1-1-1-111110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000222-2-2-2-22-1-1-1-111110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000
χ18222-2-2-2-22-1-1-1-111110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000222-2-2-2-22-1-1-1-111110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000
χ1922-22-22-2-222-2-22-22-20000000000000000000000002i−2i22-22-22-2-222-2-22-22-20000000000000000000000002i−2i
χ2022-22-22-2-222-2-22-22-2000000000000000000000000−2i2i22-22-22-2-222-2-22-22-2000000000000000000000000−2i2i
χ2122-2-22-22-222-2-2-22-220000000000000000002i−2i00000022-2-22-22-222-2-2-22-220000000000000000002i−2i000000
χ2222-2-22-22-222-2-2-22-22000000000000000000−2i2i00000022-2-22-22-222-2-2-22-22000000000000000000−2i2i000000
χ232-222-2-22-22-22-2-222-200000000000000000000002i−2i002-222-2-22-22-22-2-222-200000000000000000000002i−2i00
χ242-222-2-22-22-22-2-222-20000000000000000000000−2i2i002-222-2-22-22-22-2-222-20000000000000000000000−2i2i00
χ252-22-222-2-22-22-22-2-22000000000000000000002i−2i00002-22-222-2-22-22-22-2-22000000000000000000002i−2i0000
χ262-22-222-2-22-22-22-2-2200000000000000000000−2i2i00002-22-222-2-22-22-22-2-2200000000000000000000−2i2i0000
χ272-2-222-2-222-2-22-2-222002-20000002-22-20000000000002-2-222-2-222-2-22-2-222002-20000002-22-2000000000000
χ282-2-222-2-222-2-22-2-22200-22000000-22-220000000000002-2-222-2-222-2-22-2-22200-22000000-22-22000000000000
χ292-2-222-2-22-111-111-1-1002-200−i3i3−i3i3-11-11−i3i3−i3i3000000002-2-222-2-22-111-111-1-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000
χ302-2-222-2-22-111-111-1-1002-200i3−i3i3−i3-11-11i3−i3i3−i3000000002-2-222-2-22-111-111-1-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000
χ312-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000
χ322-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000
χ332-2-2-2-22222-2-2222-2-22-200002-2-2200000000000000002-2-2-2-22222-2-2222-2-22-200002-2-220000000000000000
χ342-2-2-2-22222-2-2222-2-2-220000-222-200000000000000002-2-2-2-22222-2-2222-2-2-220000-222-20000000000000000
χ352-2-2-2-2222-111-1-1-1112-20000-111-13−3−333−3−33000000002-2-2-2-2222-111-1-1-1112-20000-111-13−3−333−3−3300000000
χ362-2-2-2-2222-111-1-1-1112-20000-111-1−333−3−333−3000000002-2-2-2-2222-111-1-1-1112-20000-111-1−333−3−333−300000000
χ372-2-2-2-2222-111-1-1-111-2200001-1-113−3−33−333−3000000002-2-2-2-2222-111-1-1-111-2200001-1-113−3−33−333−300000000
χ382-2-2-2-2222-111-1-1-111-2200001-1-11−333−33−3−33000000002-2-2-2-2222-111-1-1-111-2200001-1-11−333−33−3−3300000000
χ3944-44-44-4-4-2-222-22-220000000000000000000000000044-44-44-4-4-2-222-22-2200000000000000000000000000
χ4044-4-44-44-4-2-2222-22-20000000000000000000000000044-4-44-44-4-2-2222-22-200000000000000000000000000
χ414-444-4-44-4-22-222-2-22000000000000000000000000004-444-4-44-4-22-222-2-2200000000000000000000000000
χ424-44-444-4-4-22-22-222-2000000000000000000000000004-44-444-4-4-22-22-222-200000000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
χ5422222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000-2-2-2-2-2-2-2-2111111112222-2-2-1-1-1-1-1-1-1-1111100000000
χ55222-2-2-2-222222-2-2-2-200002i−2i000000002i2i−2i−2i00000000-2-2-22222-2-2-2-2-222220000−2i2i00000000−2i−2i2i2i00000000
χ56222-2-2-2-222222-2-2-2-20000−2i2i00000000−2i−2i2i2i00000000-2-2-22222-2-2-2-2-2222200002i−2i000000002i2i−2i−2i00000000
χ57222-2-2-2-22-1-1-1-1111100002i−2i−i3−i3i3i333−3−3−i−iii00000000-2-2-22222-21111-1-1-1-10000−2i2ii3i3−i3−i3−3−333ii−i−i00000000
χ58222-2-2-2-22-1-1-1-1111100002i−2ii3i3−i3−i3−3−333−i−iii00000000-2-2-22222-21111-1-1-1-10000−2i2i−i3−i3i3i333−3−3ii−i−i00000000
χ59222-2-2-2-22-1-1-1-111110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000-2-2-22222-21111-1-1-1-100002i−2ii3i3−i3−i333−3−3−i−iii00000000
χ60222-2-2-2-22-1-1-1-111110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000-2-2-22222-21111-1-1-1-100002i−2i−i3−i3i3i3−3−333−i−iii00000000
χ6122-22-22-2-222-2-22-22-20000000000000000000000002i−2i-2-22-22-222-2-222-22-22000000000000000000000000−2i2i
χ6222-22-22-2-222-2-22-22-2000000000000000000000000−2i2i-2-22-22-222-2-222-22-220000000000000000000000002i−2i
χ6322-2-22-22-222-2-2-22-220000000000000000002i−2i000000-2-222-22-22-2-2222-22-2000000000000000000−2i2i000000
χ6422-2-22-22-222-2-2-22-22000000000000000000−2i2i000000-2-222-22-22-2-2222-22-20000000000000000002i−2i000000
χ652-222-2-22-22-22-2-222-200000000000000000000002i−2i00-22-2-222-22-22-222-2-220000000000000000000000−2i2i00
χ662-222-2-22-22-22-2-222-20000000000000000000000−2i2i00-22-2-222-22-22-222-2-2200000000000000000000002i−2i00
χ672-22-222-2-22-22-22-2-22000000000000000000002i−2i0000-22-22-2-222-22-22-222-200000000000000000000−2i2i0000
χ682-22-222-2-22-22-22-2-2200000000000000000000−2i2i0000-22-22-2-222-22-22-222-2000000000000000000002i−2i0000
χ692-2-222-2-222-2-22-2-222002-20000002-22-2000000000000-222-2-222-2-222-222-2-200-22000000-22-22000000000000
χ702-2-222-2-222-2-22-2-22200-22000000-22-22000000000000-222-2-222-2-222-222-2-2002-20000002-22-2000000000000
χ712-2-222-2-22-111-111-1-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000-222-2-222-21-1-11-1-11100-2200i3−i3i3−i31-11-1i3−i3i3−i300000000
χ722-2-222-2-22-111-111-1-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000-222-2-222-21-1-11-1-11100-2200−i3i3−i3i31-11-1−i3i3−i3i300000000
χ732-2-222-2-22-111-111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000-222-2-222-21-1-11-1-111002-200i3−i3i3−i3-11-11−i3i3−i3i300000000
χ742-2-222-2-22-111-111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000-222-2-222-21-1-11-1-111002-200−i3i3−i3i3-11-11i3−i3i3−i300000000
χ752-2-2-2-22222-2-2222-2-22-200002-2-220000000000000000-22222-2-2-2-222-2-2-222-220000-222-20000000000000000
χ762-2-2-2-22222-2-2222-2-2-220000-222-20000000000000000-22222-2-2-2-222-2-2-2222-200002-2-220000000000000000
χ772-2-2-2-2222-111-1-1-1112-20000-111-13−3−333−3−3300000000-22222-2-2-21-1-1111-1-1-2200001-1-11−333−3−333−300000000
χ782-2-2-2-2222-111-1-1-1112-20000-111-1−333−3−333−300000000-22222-2-2-21-1-1111-1-1-2200001-1-113−3−333−3−3300000000
χ792-2-2-2-2222-111-1-1-111-2200001-1-113−3−33−333−300000000-22222-2-2-21-1-1111-1-12-20000-111-1−333−33−3−3300000000
χ802-2-2-2-2222-111-1-1-111-2200001-1-11−333−33−3−3300000000-22222-2-2-21-1-1111-1-12-20000-111-13−3−33−333−300000000
χ8144-44-44-4-4-2-222-22-2200000000000000000000000000-4-44-44-44422-2-22-22-200000000000000000000000000
χ8244-4-44-44-4-2-2222-22-200000000000000000000000000-4-444-44-4422-2-2-22-2200000000000000000000000000
χ834-444-4-44-4-22-222-2-2200000000000000000000000000-44-4-444-442-22-2-222-200000000000000000000000000
χ844-44-444-4-4-22-22-222-200000000000000000000000000-44-44-4-4442-22-22-2-2200000000000000000000000000

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