Finite Group Databasebeta

← Group #10846292

Character table — Group #10846292

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242422444444888888884444121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-111-1-1
χ91111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ101111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111
χ111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ121111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111
χ17222222222-22222-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ18222222222-22222-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-20000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-22222-2-2-2-20000000000000000-2-222-2-2220000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-11100000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-100000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-1111100000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-122222222-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-100000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ29222-2-2-22-2222i2i−2i−2i-2-2222-2-2-2-222222-2-2-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-22-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ30222-2-2-22-2222i2i−2i−2i-2-2222-2-2-2-22-2-2-2-222222i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2-22-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ31222-2-2-22-222−2i−2i2i2i-2-2222-2-2-2-222222-2-2-2-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-22-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ32222-2-2-22-222−2i−2i2i2i-2-2222-2-2-2-22-2-2-2-22222−2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2-22-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ33222-2-2-22-22-22i2i−2i−2i22-222-2-2-2-2200000000−2i2i00002i2i−2i−2i−2i−2i2i2i-22-2200000000000000000000000022-2-22i2i−2i−2i00000000000000000000
χ34222-2-2-22-22-22i2i−2i−2i22-222-2-2-2-2200000000−2i2i00002i2i−2i−2i−2i−2i2i2i-22-22000000000000000000000000-2-222−2i−2i2i2i00000000000000000000
χ35222-2-2-22-22-2−2i−2i2i2i22-222-2-2-2-22000000002i−2i0000−2i−2i2i2i2i2i−2i−2i-22-2200000000000000000000000022-2-2−2i−2i2i2i00000000000000000000
χ36222-2-2-22-22-2−2i−2i2i2i22-222-2-2-2-22000000002i−2i0000−2i−2i2i2i2i2i−2i−2i-22-22000000000000000000000000-2-2222i2i−2i−2i00000000000000000000
χ37222-2-2-22-2-122i2i−2i−2i-2-22-1-11111-12222-2-2-2-22i−2i2i2i−2i−2i−i−iii−i−iii-11-11-1-1-1-11111−i−i−i−iiiii000000000000000000003−33−3−i3i3−i3i300000000
χ38222-2-2-22-2-122i2i−2i−2i-2-22-1-11111-12222-2-2-2-22i−2i2i2i−2i−2i−i−iii−i−iii-11-11-1-1-1-11111−i−i−i−iiiii00000000000000000000−33−33i3−i3i3−i300000000
χ39222-2-2-22-2-122i2i−2i−2i-2-22-1-11111-1-2-2-2-222222i−2i−2i−2i2i2i−i−iii−i−iii-11-111111-1-1-1-1iiii−i−i−i−i000000000000000000003−3−33−i3i3i3−i300000000
χ40222-2-2-22-2-122i2i−2i−2i-2-22-1-11111-1-2-2-2-222222i−2i−2i−2i2i2i−i−iii−i−iii-11-111111-1-1-1-1iiii−i−i−i−i00000000000000000000−333−3i3−i3−i3i300000000
χ41222-2-2-22-2-12−2i−2i2i2i-2-22-1-11111-12222-2-2-2-2−2i2i−2i−2i2i2iii−i−iii−i−i-11-11-1-1-1-11111iiii−i−i−i−i000000000000000000003−33−3i3−i3i3−i300000000
χ42222-2-2-22-2-12−2i−2i2i2i-2-22-1-11111-12222-2-2-2-2−2i2i−2i−2i2i2iii−i−iii−i−i-11-11-1-1-1-11111iiii−i−i−i−i00000000000000000000−33−33−i3i3−i3i300000000
χ43222-2-2-22-2-12−2i−2i2i2i-2-22-1-11111-1-2-2-2-22222−2i2i2i2i−2i−2iii−i−iii−i−i-11-111111-1-1-1-1−i−i−i−iiiii000000000000000000003−3−33i3−i3−i3i300000000
χ44222-2-2-22-2-12−2i−2i2i2i-2-22-1-11111-1-2-2-2-22222−2i2i2i2i−2i−2iii−i−iii−i−i-11-111111-1-1-1-1−i−i−i−iiiii00000000000000000000−333−3−i3i3i3−i300000000
χ4522-22-22-2-2202i−2i2i−2i0002-2-22-22-222−2−222−2−200−i2i2−i2i22i−2i2i−2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i22-22i−2i0000−i2i2−i2i22−22−200000000000000000000
χ4622-22-22-2-2202i−2i2i−2i0002-2-22-22-222−2−222−2−200−i2i2−i2i22i−2i2i−2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2-22−2i2i0000i2−i2i2−i2−22−2200000000000000000000
χ4722-22-22-2-2202i−2i2i−2i0002-2-22-22-2−2−222−2−22200i2−i2i2−i22i−2i2i−2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i22-22i−2i0000i2−i2i2−i2−22−2200000000000000000000
χ4822-22-22-2-2202i−2i2i−2i0002-2-22-22-2−2−222−2−22200i2−i2i2−i22i−2i2i−2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2-22−2i2i0000−i2i2−i2i22−22−200000000000000000000
χ4922-22-22-2-220−2i2i−2i2i0002-2-22-22-222−2−222−2−200i2−i2i2−i2−2i2i−2i2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i22-2−2i2i0000i2−i2i2−i22−22−200000000000000000000
χ5022-22-22-2-220−2i2i−2i2i0002-2-22-22-222−2−222−2−200i2−i2i2−i2−2i2i−2i2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2-222i−2i0000−i2i2−i2i2−22−2200000000000000000000
χ5122-22-22-2-220−2i2i−2i2i0002-2-22-22-2−2−222−2−22200−i2i2−i2i2−2i2i−2i2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i22-2−2i2i0000−i2i2−i2i2−22−2200000000000000000000
χ5222-22-22-2-220−2i2i−2i2i0002-2-22-22-2−2−222−2−22200−i2i2−i2i2−2i2i−2i2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2-222i−2i0000i2−i2i2−i22−22−200000000000000000000
χ5322-2-22-2-22202-2-220002-22-22-2-222−2−2−2−22200−222−22-2-220000000022−2−2−2−222−2−22222−2−200002i−2i2i−2i−i2i2i2−i2−i2i2i2−i200000000000000000000
χ5422-2-22-2-22202-2-220002-22-22-2-222−2−2−2−22200−222−22-2-220000000022−2−2−2−222−2−22222−2−20000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i200000000000000000000
χ5522-2-22-2-22202-2-220002-22-22-2-2−2−22222−2−2002−2−222-2-2200000000−2−22222−2−222−2−2−2−22200002i−2i2i−2ii2−i2−i2i2i2−i2−i2i200000000000000000000
χ5622-2-22-2-22202-2-220002-22-22-2-2−2−22222−2−2002−2−222-2-2200000000−2−22222−2−222−2−2−2−2220000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i200000000000000000000
χ5722-2-22-2-2220-222-20002-22-22-2-222−2−2−2−222002−2−22-222-20000000022−2−2−2−22222−2−2−2−22200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i200000000000000000000
χ5822-2-22-2-2220-222-20002-22-22-2-222−2−2−2−222002−2−22-222-20000000022−2−2−2−22222−2−2−2−2220000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i200000000000000000000
χ5922-2-22-2-2220-222-20002-22-22-2-2−2−22222−2−200−222−2-222-200000000−2−22222−2−2−2−22222−2−200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i200000000000000000000
χ6022-2-22-2-2220-222-20002-22-22-2-2−2−22222−2−200−222−2-222-200000000−2−22222−2−2−2−22222−2−20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i200000000000000000000
χ612-2-22-2-2222-200002-22-2-2-222-222-22-22-22-200000000000000-2-2222-22-22-22-200000000000000000000000000000000000000002-22-2
χ622-2-22-2-2222-200002-22-2-2-222-222-22-22-22-200000000000000-2-2222-22-22-22-20000000000000000000000000000000000000000-22-22
χ632-2-22-2-2222-200002-22-2-2-222-22-22-22-22-2200000000000000-2-222-22-22-22-2200000000000000000000000000000000000000002-2-22
χ642-2-22-2-2222-200002-22-2-2-222-22-22-22-22-2200000000000000-2-222-22-22-22-220000000000000000000000000000000000000000-222-2
χ652-2-2-2222-22-20000-222-2-22-2-2222-22-2-22-2200000000000000-222-22-22-2-22-220000000000000000000000000000000000002-22-20000
χ662-2-2-2222-22-20000-222-2-22-2-2222-22-2-22-2200000000000000-222-22-22-2-22-22000000000000000000000000000000000000-22-220000
χ672-2-2-2222-22-20000-222-2-22-2-222-22-222-22-200000000000000-222-2-22-222-22-20000000000000000000000000000000000002-2-220000
χ682-2-2-2222-22-20000-222-2-22-2-222-22-222-22-200000000000000-222-2-22-222-22-2000000000000000000000000000000000000-222-20000
χ6944444444-2-44444-4-4-4-2-2-2-2-2-2-200000000-4-40000-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2000000004400002222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ71444-4-4-44-4-2-44i4i−4i−4i44-4-2-22222-200000000−4i4i0000−2i−2i2i2i2i2i−2i−2i2-22-20000000000000000000000000000000000000000000000000000
χ72444-4-4-44-4-2-4−4i−4i4i4i44-4-2-22222-2000000004i−4i00002i2i−2i−2i−2i−2i2i2i2-22-20000000000000000000000000000000000000000000000000000
χ7344-44-44-4-4-204i−4i4i−4i000-222-22-222222−22−222222−22−2200−2i22i2−2i22i2−2i2i−2i2i00000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ7444-44-44-4-4-204i−4i4i−4i000-222-22-22−22−222222−22−222222002i2−2i22i2−2i2−2i2i−2i2i0000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ7544-44-44-4-4-20−4i4i−4i4i000-222-22-222222−22−222222−22−22002i2−2i22i2−2i22i−2i2i−2i00000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000
χ7644-44-44-4-4-20−4i4i−4i4i000-222-22-22−22−222222−22−22222200−2i22i2−2i22i22i−2i2i−2i0000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000
χ7744-4-44-4-44-204-4-44000-22-22-2222222−22−22−22−22222200−222222−22-222-200000000−2−22222−2−222−2−2−2−222000000000000000000000000000000000000
χ7844-4-44-4-44-204-4-44000-22-22-222−22−2222222222−22−220022−22−2222-222-20000000022−2−2−2−222−2−22222−2−2000000000000000000000000000000000000
χ7944-4-44-4-44-20-444-4000-22-22-2222222−22−22−22−2222220022−22−22222-2-2200000000−2−22222−2−2−2−22222−2−2000000000000000000000000000000000000
χ8044-4-44-4-44-20-444-4000-22-22-222−22−2222222222−22−2200−222222−222-2-220000000022−2−2−2−22222−2−2−2−222000000000000000000000000000000000000
χ814-4444-4-4-4400000000-4444-4-4-422−22−222222−22−222200000000000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ824-4444-4-4-4400000000-4444-4-4-4−222222−22−222222−22000000000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ834-4444-4-4-4-2000000002-2-2-222222−22−222222−22−22220000000000−2i32i3−2i32i30000−222−2−222−2i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000
χ844-4444-4-4-4-2000000002-2-2-222222−22−222222−22−222200000000002i3−2i32i3−2i30000−222−2−222−2−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000
χ854-4444-4-4-4-2000000002-2-2-2222−222222−22−222222−220000000000−2i32i3−2i32i300002−2−222−2−22−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000
χ864-4444-4-4-4-2000000002-2-2-2222−222222−22−222222−2200000000002i3−2i32i3−2i300002−2−222−2−22i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000
χ874-44-4-44-44400000000-44-4-444-422−22−2222−222222−2200000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ884-44-4-44-44400000000-44-4-444-4−222222−2222−22−2222000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ894-44-4-44-44-2000000002-222-2-2222−22−2222−222222−22000000000023−23−23230000−222−22−2−22−66−666−66−6000000000000000000000000000000000000
χ904-44-4-44-44-2000000002-222-2-2222−22−2222−222222−220000000000−232323−230000−222−22−2−226−66−6−66−66000000000000000000000000000000000000
χ914-44-4-44-44-2000000002-222-2-22−222222−2222−22−2222000000000023−23−232300002−2−22−222−26−66−6−66−66000000000000000000000000000000000000
χ924-44-4-44-44-2000000002-222-2-22−222222−2222−22−22220000000000−232323−2300002−2−22−222−2−66−666−66−6000000000000000000000000000000000000
χ934-4-44-4-444440000-44-4-4-4-444-44000000000000000000000044-4-40000000000000000000000000000000000000000000000000000
χ944-4-44-4-444-240000-44-4222-2-22-20000000000000000000000-2-2220000000023−23−232323−23−2323000000000000000000000000000000000000
χ954-4-44-4-444-240000-44-4222-2-22-20000000000000000000000-2-22200000000−232323−23−232323−23000000000000000000000000000000000000
χ964-4-44-4-444-2-400004-44222-2-22-24-44-44-44-40000000000000022-2-2-22-22-22-2200000000000000000000000000000000000000000000
χ974-4-44-4-444-2-400004-44222-2-22-2-44-44-44-440000000000000022-2-22-22-22-22-200000000000000000000000000000000000000000000
χ984-4-4-4444-44400004-4-4-4-44-4-44400000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ994-4-4-4444-4-2400004-4-422-222-2-20000000000000000000000-222-200000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000
χ1004-4-4-4444-4-2400004-4-422-222-2-20000000000000000000000-222-2000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000
χ1014-4-4-4444-4-2-40000-44422-222-2-24-44-4-44-44000000000000002-2-22-22-222-22-200000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-40000-44422-222-2-2-44-444-44-4000000000000002-2-222-22-2-22-2200000000000000000000000000000000000000000000

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