Finite Group Databasebeta

← Group #10844708

Character table — Group #10844708

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222223444444446666666448888888812121212121212128888888844441212121212121212121224242424242424244444444488884412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-1111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111111-111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-11-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-1-11111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-1111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-111-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-11-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111111-111-1-111-1-1-11
χ172222222222222-2-2-2-22222222-2-200000000-2-2-22222-2000000000000-2-200000000000000002222-2-2-2-20000000000000000
χ182222222222222-2-2-2-22222222-2-200000000-2-2-22222-2000000000000-2-20000000000000000-2-2-2-222220000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-200000000000022000000000000000022-2-2-2-2220000000000000000
χ20222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2000000000000220000000000000000-2-22222-2-20000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-111111111000000000000-2-21111000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1111111111111111100000000000022-1-1-1-1000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-11111-10000000022-2-211-1-1-1-11111-1-1-1-111110000000000002-2-1-111000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-22222-2-2-2-2-1-1-11111-100000000-2-222111111-1-1-1-1-1-1-1-11111000000000000-2211-1-1000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-10000000022-2-211-1-1-1-111111111-1-1-1-1000000000000-2211-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-11111-100000000-2-222111111-1-1-1-11111-1-1-1-10000000000002-2-1-111000000
χ29222-2-22-2-2222-2-20000222-2-2-2-20022−2−222−2−200022-2-202222−2−2−2−20000000000000022−2−222−2−22-22-2000022−2−2000000000000
χ30222-2-22-2-2222-2-20000222-2-2-2-20022−2−222−2−200022-2-20−2−2−2−222220000000000000022−2−222−2−2-22-220000−2−222000000000000
χ31222-2-22-2-2222-2-20000222-2-2-2-200−2−222−2−22200022-2-202222−2−2−2−200000000000000−2−222−2−222-22-22000022−2−2000000000000
χ32222-2-22-2-2222-2-20000222-2-2-2-200−2−222−2−22200022-2-20−2−2−2−2222200000000000000−2−222−2−2222-22-20000−2−222000000000000
χ33222-2-22-2-22-2-2220000222-2-2-2-20022−2−2−2−222000-2-22202222−2−2−2−20000000000000022−2−2−2−2222-2-220000−2−222000000000000
χ34222-2-22-2-22-2-2220000222-2-2-2-20022−2−2−2−222000-2-2220−2−2−2−222220000000000000022−2−2−2−222-222-2000022−2−2000000000000
χ35222-2-22-2-22-2-2220000222-2-2-2-200−2−22222−2−2000-2-22202222−2−2−2−200000000000000−2−22222−2−2-222-20000−2−222000000000000
χ36222-2-22-2-22-2-2220000222-2-2-2-200−2−22222−2−2000-2-2220−2−2−2−2222200000000000000−2−22222−2−22-2-22000022−2−2000000000000
χ3722-22-2-2-22200002-2-222-2-22-22-200000000002-2-2000022i2i−2i−2i2i2i−2i−2i002i−2i0000002i2i−2i−2i00000000000000000000000000002-200
χ3822-22-2-2-22200002-2-222-2-22-22-200000000002-2-2000022i2i−2i−2i2i2i−2i−2i00−2i2i000000−2i−2i2i2i0000000000000000000000000000-2200
χ3922-22-2-2-22200002-2-222-2-22-22-200000000002-2-200002−2i−2i2i2i−2i−2i2i2i002i−2i0000002i2i−2i−2i0000000000000000000000000000-2200
χ4022-22-2-2-22200002-2-222-2-22-22-200000000002-2-200002−2i−2i2i2i−2i−2i2i2i00−2i2i000000−2i−2i2i2i00000000000000000000000000002-200
χ412-22-22-2-22200002-22-2-22-22-2-22000000000022-20000-22-22-22-22-22i−2i00002i2i−2i−2i0000000000000000000000000000002i−2i0000
χ422-22-22-2-22200002-22-2-22-22-2-22000000000022-20000-22-22-22-22-2−2i2i0000−2i−2i2i2i000000000000000000000000000000−2i2i0000
χ432-22-22-2-22200002-22-2-22-22-2-22000000000022-20000-2-22-22-22-222i−2i00002i2i−2i−2i000000000000000000000000000000−2i2i0000
χ442-22-22-2-22200002-22-2-22-22-2-22000000000022-20000-2-22-22-22-22−2i2i0000−2i−2i2i2i0000000000000000000000000000002i−2i0000
χ452-2-2222-2-222-22-20000-2-22-2-222002−22−22−22−20002-22-20−i2i2i2−i2i2−i2−i2i2000000000000002−22−22−22−200002i−2i2i−2i−i2i2−i2i2000000000000
χ462-2-2222-2-222-22-20000-2-22-2-222002−22−22−22−20002-22-20i2−i2−i2i2−i2i2i2−i2000000000000002−22−22−22−20000−2i2i−2i2ii2−i2i2−i2000000000000
χ472-2-2222-2-222-22-20000-2-22-2-22200−22−22−22−220002-22-20−i2i2i2−i2i2−i2−i2i200000000000000−22−22−22−220000−2i2i−2i2i−i2i2−i2i2000000000000
χ482-2-2222-2-222-22-20000-2-22-2-22200−22−22−22−220002-22-20i2−i2−i2i2−i2i2i2−i200000000000000−22−22−22−2200002i−2i2i−2ii2−i2i2−i2000000000000
χ492-2-2222-2-22-22-220000-2-22-2-222002−22−2−22−22000-22-220−i2i2i2−i2i2−i2−i2i2000000000000002−22−2−22−2200002i−2i−2i2ii2−i2i2−i2000000000000
χ502-2-2222-2-22-22-220000-2-22-2-222002−22−2−22−22000-22-220i2−i2−i2i2−i2i2i2−i2000000000000002−22−2−22−220000−2i2i2i−2i−i2i2−i2i2000000000000
χ512-2-2222-2-22-22-220000-2-22-2-22200−22−222−22−2000-22-220−i2i2i2−i2i2−i2−i2i200000000000000−22−222−22−20000−2i2i2i−2ii2−i2i2−i2000000000000
χ522-2-2222-2-22-22-220000-2-22-2-22200−22−222−22−2000-22-220i2−i2−i2i2−i2i2i2−i200000000000000−22−222−22−200002i−2i−2i2i−i2i2−i2i2000000000000
χ532-2-2-2-222222-2-2222-2-2-2-2222-2-22-2000000002-222-2-22-22i−2i−2i2i2i−2i−2i2i00002-20000000000000000000000002i−2i−2i2i000000000000
χ542-2-2-2-222222-2-2222-2-2-2-2222-2-22-2000000002-222-2-22-2−2i2i2i−2i−2i2i2i−2i00002-2000000000000000000000000−2i2i2i−2i000000000000
χ552-2-2-2-222222-2-22-2-222-2-2222-2-2-222-2-222-2-22-22-22-2-222000000000000-22000000002-2-222-2-22000000000000000000000000
χ562-2-2-2-222222-2-22-2-222-2-2222-2-2-22-222-2-222-2-22-22-2-222000000000000-2200000000-222-2-222-2000000000000000000000000
χ572-2-2-2-22222-222-222-2-2-2-2222-2-2-22000000002-22-222-2-22i−2i−2i2i2i−2i−2i2i0000-22000000000000000000000000−2i2i2i−2i000000000000
χ582-2-2-2-22222-222-222-2-2-2-2222-2-2-22000000002-22-222-2-2−2i2i2i−2i−2i2i2i−2i0000-220000000000000000000000002i−2i−2i2i000000000000
χ592-2-2-2-22222-222-2-2-222-2-2222-2-22-22-2-22-222-2-22-2-222-220000000000002-2000000002-2-22-222-2000000000000000000000000
χ602-2-2-2-22222-222-2-2-222-2-2222-2-22-2-222-22-2-22-22-2-222-220000000000002-200000000-222-22-2-22000000000000000000000000
χ612-2-2-2-2222-12-2-22-2-22211-1-1-111-222-2-222-2-221-11-111-1-10000000000001-13−33−33−33−3-111-1-111-1000000000000003−33−3000000
χ622-2-2-2-2222-12-2-22-2-22211-1-1-111-222-2-222-2-221-11-111-1-10000000000001-1−33−33−33−33-111-1-111-100000000000000−33−33000000
χ632-2-2-2-2222-12-2-22-2-22211-1-1-111-22-222-2-222-21-11-111-1-10000000000001-13−33−33−33−31-1-111-1-1100000000000000−33−33000000
χ642-2-2-2-2222-12-2-22-2-22211-1-1-111-22-222-2-222-21-11-111-1-10000000000001-1−33−33−33−331-1-111-1-11000000000000003−33−3000000
χ652-2-2-2-2222-1-222-2-2-22211-1-1-1112-22-2-22-222-21-111-1-11-1000000000000-113−33−3−33−33-111-11-1-11000000000000003−3−33000000
χ662-2-2-2-2222-1-222-2-2-22211-1-1-1112-22-2-22-222-21-111-1-11-1000000000000-11−33−333−33−3-111-11-1-1100000000000000−333−3000000
χ672-2-2-2-2222-1-222-2-2-22211-1-1-1112-2-222-22-2-221-111-1-11-1000000000000-113−33−3−33−331-1-11-111-100000000000000−333−3000000
χ682-2-2-2-2222-1-222-2-2-22211-1-1-1112-2-222-22-2-221-111-1-11-1000000000000-11−33−333−33−31-1-11-111-1000000000000003−3−33000000
χ6944444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-400000000222-2-2-2-22000000000000220000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000000022222222000000000000-2-20000000000000000000000000000000000000000
χ71444-4-44-4-4-244-4-40000-2-2-22222002222−22−222222−22−22000-2-22200000000000000000000000−2−222−2−222000000000000000000000000
χ72444-4-44-4-4-244-4-40000-2-2-2222200−22−222222−22−222222000-2-2220000000000000000000000022−2−222−2−2000000000000000000000000
χ73444-4-44-4-4-2-4-4440000-2-2-22222002222−22−22−22−22222200022-2-200000000000000000000000−2−22222−2−2000000000000000000000000
χ74444-4-44-4-4-2-4-4440000-2-2-2222200−22−2222222222−22−2200022-2-20000000000000000000000022−2−2−2−222000000000000000000000000
χ7544-44-4-4-4440000-444-44-4-44-44-40000000000-4440000-4000000000000000000000000000000000000000000000000000000
χ7644-44-4-4-44-200004-4-44-222-22-220000000000-2220000-200000000004i−4i000000−2i−2i2i2i00000000000000000000000000000000
χ7744-44-4-4-44-200004-4-44-222-22-220000000000-2220000-20000000000−4i4i0000002i2i−2i−2i00000000000000000000000000000000
χ7844-44-4-4-44-20000-444-4-222-22-2200000000002-2-20000200000000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ7944-44-4-4-44-20000-444-4-222-22-2200000000002-2-200002000000000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ8044-4-44-44-44000000004-4-4-44-44000000000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ8144-4-44-44-44000000004-4-4-44-440000000000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ824-444-4-44-4400000000-44-4-444-400000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000000000
χ834-444-4-44-4400000000-44-4-444-4000000000000000000−2222−222222−2222−220000000000000000000000000000000000000000000000
χ844-44-44-4-4440000-44-44-44-44-4-440000000000-4-4400004000000000000000000000000000000000000000000000000000000
χ854-44-44-4-44-200004-44-42-22-222-20000000000-2-2200002000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000000
χ864-44-44-4-44-200004-44-42-22-222-20000000000-2-220000200000000−4i4i00002i2i−2i−2i000000000000000000000000000000000000
χ874-44-44-4-44-20000-44-442-22-222-2000000000022-20000-2000000000000000000−2i32i32i3−2i300000000000000000000000000000000
χ884-44-44-4-44-20000-44-442-22-222-2000000000022-20000-20000000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ894-4-4444-4-4-24-44-4000022-222-2-20022−2222−2222−2222−22000-22-2200000000000000000000000−22−22−22−22000000000000000000000000
χ904-4-4444-4-4-24-44-4000022-222-2-200−2222−2222−2222−2222000-22-22000000000000000000000002−22−22−22−2000000000000000000000000
χ914-4-4444-4-4-2-44-44000022-222-2-20022−2222−22−2222−22220002-22-200000000000000000000000−22−222−22−2000000000000000000000000
χ924-4-4444-4-4-2-44-44000022-222-2-200−2222−222222−2222−220002-22-2000000000000000000000002−22−2−22−22000000000000000000000000
χ934-4-4-4-4444-24-4-4444-4-422-2-2-2224-400000000-22-2-222-22000000000000-220000000000000000000000000000000000000000
χ944-4-4-4-4444-2-444-444-4-422-2-2-222-4400000000-22-22-2-2220000000000002-20000000000000000000000000000000000000000
χ9588-8-88-88-8-400000000-4444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ968-888-8-88-8-4000000004-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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