Finite Group Databasebeta

← Group #84046

Character table — Group #84046

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order12222222366666662222446666666612121212444444442222222266666666222244666666661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
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
χ13222-22-2-2-22222-2-2-2-20000000000000000000000002i−2i222-22-2-2-22222-2-2-2-20000000000000000000000002i−2i
χ14222-22-2-2-22222-2-2-2-2000000000000000000000000−2i2i222-22-2-2-22222-2-2-2-2000000000000000000000000−2i2i
χ1522-22-22-2-222-2-222-2-200000000000000000000002i−2i0022-22-22-2-222-2-222-2-200000000000000000000002i−2i00
χ1622-22-22-2-222-2-222-2-20000000000000000000000−2i2i0022-22-22-2-222-2-222-2-20000000000000000000000−2i2i00
χ1722-2-2-2-22222-2-2-2-2222-2000022-2-2000000000000000022-2-2-2-22222-2-2-2-2222-2000022-2-20000000000000000
χ1822-2-2-2-22222-2-2-2-222-220000-2-222000000000000000022-2-2-2-22222-2-2-2-222-220000-2-2220000000000000000
χ1922-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i30000000022-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i300000000
χ2022-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i30000000022-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i300000000
χ2122-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i30000000022-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i300000000
χ2222-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i30000000022-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i300000000
χ232-222-2-22-22-22-22-22-2000000000000000000002i−2i00002-222-2-22-22-22-22-22-2000000000000000000002i−2i0000
χ242-222-2-22-22-22-22-22-200000000000000000000−2i2i00002-222-2-22-22-22-22-22-200000000000000000000−2i2i0000
χ252-22-2-22-222-22-2-22-22002-20000002-22-20000000000002-22-2-22-222-22-2-22-22002-20000002-22-2000000000000
χ262-22-2-22-222-22-2-22-2200-22000000-22-220000000000002-22-2-22-222-22-2-22-2200-22000000-22-22000000000000
χ272-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i3000000002-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000
χ282-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i3000000002-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000
χ292-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i3000000002-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000
χ302-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000002-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000
χ312-2-222-2-222-2-222-2-2200002-2000000002-2-22000000002-2-222-2-222-2-222-2-2200002-2000000002-2-2200000000
χ322-2-222-2-222-2-222-2-220000-2200000000-222-2000000002-2-222-2-222-2-222-2-220000-2200000000-222-200000000
χ332-2-222-2-22-111-1-111-100002-2−i3i3i3−i3−i3i3i3−i3-111-1000000002-2-222-2-22-111-1-111-100002-2−i3i3i3−i3−i3i3i3−i3-111-100000000
χ342-2-222-2-22-111-1-111-100002-2i3−i3−i3i3i3−i3−i3i3-111-1000000002-2-222-2-22-111-1-111-100002-2i3−i3−i3i3i3−i3−i3i3-111-100000000
χ352-2-222-2-22-111-1-111-10000-22−i3i3i3−i3i3−i3−i3i31-1-11000000002-2-222-2-22-111-1-111-10000-22−i3i3i3−i3i3−i3−i3i31-1-1100000000
χ362-2-222-2-22-111-1-111-10000-22i3−i3−i3i3−i3i3i3−i31-1-11000000002-2-222-2-22-111-1-111-10000-22i3−i3−i3i3−i3i3i3−i31-1-1100000000
χ372-2-2-2222-22-2-22-222-20000000000000000002-20000002-2-2-2222-22-2-22-222-20000000000000000002-2000000
χ382-2-2-2222-22-2-22-222-2000000000000000000-220000002-2-2-2222-22-2-22-222-2000000000000000000-22000000
χ39444-44-4-4-4-2-2-2-2222200000000000000000000000000444-44-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-44-44-4-4-2-222-2-2220000000000000000000000000044-44-44-4-4-2-222-2-22200000000000000000000000000
χ414-444-4-44-4-22-22-22-22000000000000000000000000004-444-4-44-4-22-22-22-2200000000000000000000000000
χ424-4-4-4444-4-222-22-2-22000000000000000000000000004-4-4-4444-4-222-22-2-2200000000000000000000000000
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
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
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
χ55222-22-2-2-22222-2-2-2-20000000000000000000000002i−2i-2-2-22-2222-2-2-2-22222000000000000000000000000−2i2i
χ56222-22-2-2-22222-2-2-2-2000000000000000000000000−2i2i-2-2-22-2222-2-2-2-222220000000000000000000000002i−2i
χ5722-22-22-2-222-2-222-2-200000000000000000000002i−2i00-2-22-22-222-2-222-2-2220000000000000000000000−2i2i00
χ5822-22-22-2-222-2-222-2-20000000000000000000000−2i2i00-2-22-22-222-2-222-2-22200000000000000000000002i−2i00
χ5922-2-2-2-22222-2-2-2-2222-2000022-2-20000000000000000-2-22222-2-2-2-22222-2-2-220000-2-2220000000000000000
χ6022-2-2-2-22222-2-2-2-222-220000-2-2220000000000000000-2-22222-2-2-2-22222-2-22-2000022-2-20000000000000000
χ6122-2-2-2-222-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i300000000-2-22222-2-211-1-1-1-111-22000011-1-1i3i3−i3−i3i3i3−i3−i300000000
χ6222-2-2-2-222-1-11111-1-12-20000-1-111i3i3−i3−i3i3i3−i3−i300000000-2-22222-2-211-1-1-1-111-22000011-1-1−i3−i3i3i3−i3−i3i3i300000000
χ6322-2-2-2-222-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i300000000-2-22222-2-211-1-1-1-1112-20000-1-111i3i3−i3−i3−i3−i3i3i300000000
χ6422-2-2-2-222-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i300000000-2-22222-2-211-1-1-1-1112-20000-1-111−i3−i3i3i3i3i3−i3−i300000000
χ652-222-2-22-22-22-22-22-2000000000000000000002i−2i0000-22-2-222-22-22-22-22-2200000000000000000000−2i2i0000
χ662-222-2-22-22-22-22-22-200000000000000000000−2i2i0000-22-2-222-22-22-22-22-22000000000000000000002i−2i0000
χ672-22-2-22-222-22-2-22-22002-20000002-22-2000000000000-22-222-22-2-22-222-22-200-22000000-22-22000000000000
χ682-22-2-22-222-22-2-22-2200-22000000-22-22000000000000-22-222-22-2-22-222-22-2002-20000002-22-2000000000000
χ692-22-2-22-22-11-111-11-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000-22-222-22-21-11-1-11-1100-2200i3−i3i3−i31-11-1i3−i3i3−i300000000
χ702-22-2-22-22-11-111-11-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000-22-222-22-21-11-1-11-1100-2200−i3i3−i3i31-11-1−i3i3−i3i300000000
χ712-22-2-22-22-11-111-11-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000-22-222-22-21-11-1-11-11002-200i3−i3i3−i3-11-11−i3i3−i3i300000000
χ722-22-2-22-22-11-111-11-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000-22-222-22-21-11-1-11-11002-200−i3i3−i3i3-11-11i3−i3i3−i300000000
χ732-2-222-2-222-2-222-2-2200002-2000000002-2-2200000000-222-2-222-2-222-2-222-20000-2200000000-222-200000000
χ742-2-222-2-222-2-222-2-220000-2200000000-222-200000000-222-2-222-2-222-2-222-200002-2000000002-2-2200000000
χ752-2-222-2-22-111-1-111-100002-2−i3i3i3−i3−i3i3i3−i3-111-100000000-222-2-222-21-1-111-1-110000-22i3−i3−i3i3i3−i3−i3i31-1-1100000000
χ762-2-222-2-22-111-1-111-100002-2i3−i3−i3i3i3−i3−i3i3-111-100000000-222-2-222-21-1-111-1-110000-22−i3i3i3−i3−i3i3i3−i31-1-1100000000
χ772-2-222-2-22-111-1-111-10000-22−i3i3i3−i3i3−i3−i3i31-1-1100000000-222-2-222-21-1-111-1-1100002-2i3−i3−i3i3−i3i3i3−i3-111-100000000
χ782-2-222-2-22-111-1-111-10000-22i3−i3−i3i3−i3i3i3−i31-1-1100000000-222-2-222-21-1-111-1-1100002-2−i3i3i3−i3i3−i3−i3i3-111-100000000
χ792-2-2-2222-22-2-22-222-20000000000000000002-2000000-2222-2-2-22-222-22-2-22000000000000000000-22000000
χ802-2-2-2222-22-2-22-222-2000000000000000000-22000000-2222-2-2-22-222-22-2-220000000000000000002-2000000
χ81444-44-4-4-4-2-2-2-2222200000000000000000000000000-4-4-44-44442222-2-2-2-200000000000000000000000000
χ8244-44-44-4-4-2-222-2-22200000000000000000000000000-4-44-44-44422-2-222-2-200000000000000000000000000
χ834-444-4-44-4-22-22-22-2200000000000000000000000000-44-4-444-442-22-22-22-200000000000000000000000000
χ844-4-4-4444-4-222-22-2-2200000000000000000000000000-4444-4-4-442-2-22-222-200000000000000000000000000

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