Finite Group Databasebeta

← Group #10877409

Character table — Group #10877409

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222444444444444444466666666666688888888888888881212121212121212121216161616161616161616242424244848
order122222223444466666664444888888881212121244448888888844441212121224242424242424242244448888441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-1-11111-1-1-11
χ1011111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ1111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111-1
χ1211111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1-11
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-111-1-1-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1111111-1-1
χ17222222222-2-2-2-2222222222-2-200000000-2-2-2-2222200000000000022-2-200000000-2-222-2-200000000000000000000
χ18222222222-2-2-2-2222222222-2-200000000-2-2-2-2-2-2-2-200000000000022-2-20000000022-2-22200000000000000000000
χ19222222222-2-2-2-22222222-2-22200000000-2-2-2-22222000000000000-2-22200000000-2-2-2-22200000000000000000000
χ20222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-2-2-2000000000000-2-222000000002222-2-200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1000000000000-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211111111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-100000000000022-2-2-1-1-1-1111111110000000000-22-1-1-1-11111000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1000000000000-2-222-1-1-1-11111111100000000002-21111-1-1-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-100000000000022-2-21111-1-1-1-1111100000000002-2-1-11111-1-1000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1000000000000-2-2221111-1-1-1-111110000000000-2211-1-1-1-111000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1000000000000222211111111-1-1-1-10000000000-2-2-1-111-1-111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1000000000000-2-2-2-211111111-1-1-1-100000000002211-1-111-1-1000000
χ29222-2-2-2-2220000-22-222-2-2002i−2i−i2−i2i2i222−2−200002i2i−2i−2i−i2−i2−i2−i2i2i2i2i20000002i−2i−i2−i2i2i222−2−200002-222−2−20000000000000000
χ30222-2-2-2-2220000-22-222-2-2002i−2i−i2−i2i2i222−2−20000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i20000002i−2i−i2−i2i2i222−2−20000-22−2−2220000000000000000
χ31222-2-2-2-2220000-22-222-2-2002i−2ii2i2−i2−i2−2−22200002i2i−2i−2ii2i2i2i2−i2−i2−i2−i20000002i−2ii2i2−i2−i2−2−22200002-2−2−2220000000000000000
χ32222-2-2-2-2220000-22-222-2-2002i−2ii2i2−i2−i2−2−2220000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i20000002i−2ii2i2−i2−i2−2−2220000-2222−2−20000000000000000
χ33222-2-2-2-2220000-22-222-2-200−2i2i−i2−i2i2i2−2−22200002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2000000−2i2i−i2−i2i2i2−2−2220000-2222−2−20000000000000000
χ34222-2-2-2-2220000-22-222-2-200−2i2i−i2−i2i2i2−2−2220000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2000000−2i2i−i2−i2i2i2−2−22200002-2−2−2220000000000000000
χ35222-2-2-2-2220000-22-222-2-200−2i2ii2i2−i2−i222−2−200002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2000000−2i2ii2i2−i2−i222−2−20000-22−2−2220000000000000000
χ36222-2-2-2-2220000-22-222-2-200−2i2ii2i2−i2−i222−2−20000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2000000−2i2ii2i2−i2−i222−2−200002-222−2−20000000000000000
χ3722-222-2-2-22-2-222-222-2-2-220000000000002-22-2000022-2-222-2-22i−2i000000000000000000000000002i−2i000000002i−2i00
χ3822-222-2-2-22-2-222-222-2-2-220000000000002-22-2000022-2-222-2-2−2i2i00000000000000000000000000−2i2i00000000−2i2i00
χ3922-222-2-2-22-2-222-222-2-2-220000000000002-22-20000-2-222-2-2222i−2i000000000000000000000000002i−2i00000000−2i2i00
χ4022-222-2-2-22-2-222-222-2-2-220000000000002-22-20000-2-222-2-222−2i2i00000000000000000000000000−2i2i000000002i−2i00
χ412-222-2-22-2200002-2-22-2-222i−2i002−22−2−i2i2−i2i200002i−2i2i−2i2−22−22−22−200002i−2i002−22−2−i2i2−i2i2002-200−i2i2−i2i20000000000000000
χ422-222-2-22-2200002-2-22-2-222i−2i002−22−2−i2i2−i2i20000−2i2i−2i2i−22−22−22−2200002i−2i002−22−2−i2i2−i2i200-2200i2−i2i2−i20000000000000000
χ432-222-2-22-2200002-2-22-2-222i−2i00−22−22i2−i2i2−i200002i−2i2i−2i−22−22−22−2200002i−2i00−22−22i2−i2i2−i2002-200i2−i2i2−i20000000000000000
χ442-222-2-22-2200002-2-22-2-222i−2i00−22−22i2−i2i2−i20000−2i2i−2i2i2−22−22−22−200002i−2i00−22−22i2−i2i2−i200-2200−i2i2−i2i20000000000000000
χ452-222-2-22-2200002-2-22-2-22−2i2i002−22−2i2−i2i2−i200002i−2i2i−2i−22−22−22−220000−2i2i002−22−2i2−i2i2−i200-2200−i2i2−i2i20000000000000000
χ462-222-2-22-2200002-2-22-2-22−2i2i002−22−2i2−i2i2−i20000−2i2i−2i2i2−22−22−22−20000−2i2i002−22−2i2−i2i2−i2002-200i2−i2i2−i20000000000000000
χ472-222-2-22-2200002-2-22-2-22−2i2i00−22−22−i2i2−i2i200002i−2i2i−2i2−22−22−22−20000−2i2i00−22−22−i2i2−i2i200-2200i2−i2i2−i20000000000000000
χ482-222-2-22-2200002-2-22-2-22−2i2i00−22−22−i2i2−i2i20000−2i2i−2i2i−22−22−22−220000−2i2i00−22−22−i2i2−i2i2002-200−i2i2−i2i20000000000000000
χ492-22-222-2-222-2-22-2-222-22-200002i−2i−2i2i0000-222-22-2-2200000000000000002i−2i−2i2i00002-20000−2i2i2i−2i0000000000000000
χ502-22-222-2-222-2-22-2-222-22-200002i−2i−2i2i0000-222-2-222-200000000000000002i−2i−2i2i0000-2200002i−2i−2i2i0000000000000000
χ512-22-222-2-222-2-22-2-222-22-20000−2i2i2i−2i0000-222-22-2-220000000000000000−2i2i2i−2i00002-200002i−2i−2i2i0000000000000000
χ522-22-222-2-222-2-22-2-222-22-20000−2i2i2i−2i0000-222-2-222-20000000000000000−2i2i2i−2i0000-220000−2i2i2i−2i0000000000000000
χ532-22-222-2-22-222-2-2-222-22-2000000002i−2i−2i2i2-2-222-2-22−2i2i−2i2i2i−2i2i−2i0000000000002i−2i−2i2i-22000000000000000000000000
χ542-22-222-2-22-222-2-2-222-22-2000000002i−2i−2i2i2-2-22-222-22i−2i2i−2i−2i2i−2i2i0000000000002i−2i−2i2i2-2000000000000000000000000
χ552-22-222-2-22-222-2-2-222-22-200000000−2i2i2i−2i2-2-222-2-222i−2i2i−2i−2i2i−2i2i000000000000−2i2i2i−2i-22000000000000000000000000
χ562-22-222-2-22-222-2-2-222-22-200000000−2i2i2i−2i2-2-22-222-2−2i2i−2i2i2i−2i2i−2i000000000000−2i2i2i−2i2-2000000000000000000000000
χ572-2-2-22-22222-22-22-22-22-2-200000000000022-2-200002i−2i−2i2i−2i2i2i−2i002-200000000000000000000000000002-2002i−2i0000
χ582-2-2-22-22222-22-22-22-22-2-200000000000022-2-200002i−2i−2i2i−2i2i2i−2i00-220000000000000000000000000000-2200−2i2i0000
χ592-2-2-22-22222-22-22-22-22-2-200000000000022-2-20000−2i2i2i−2i2i−2i−2i2i002-200000000000000000000000000002-200−2i2i0000
χ602-2-2-22-22222-22-22-22-22-2-200000000000022-2-20000−2i2i2i−2i2i−2i−2i2i00-220000000000000000000000000000-22002i−2i0000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-244-4-40000000022220000000000000000-2-2220000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-2-4-444000000002222000000000000000022-2-20000000000000000000000000000000000
χ63444-4-4-4-44-200002-22-2-222004i−4i−2i2−2i22i22i22222−22−220000000000000000000000−2i2ii2i2−i2−i2−2−22200000000000000000000000000
χ64444-4-4-4-44-200002-22-2-222004i−4i2i22i2−2i2−2i2−22−2222220000000000000000000000−2i2i−i2−i2i2i222−2−200000000000000000000000000
χ65444-4-4-4-44-200002-22-2-22200−4i4i−2i2−2i22i22i2−22−22222200000000000000000000002i−2ii2i2−i2−i222−2−200000000000000000000000000
χ66444-4-4-4-44-200002-22-2-22200−4i4i2i22i2−2i2−2i22222−22−2200000000000000000000002i−2i−i2−i2i2i2−2−22200000000000000000000000000
χ6744-444-4-4-4444-4-4-444-4-4-44000000000000-44-44000000000000000000000000000000000000000000000000000000
χ6844-444-4-4-4-244-4-42-2-2222-20000000000002-22-200000000000000000000000000000000000000000023−230000000000
χ6944-444-4-4-4-244-4-42-2-2222-20000000000002-22-2000000000000000000000000000000000000000000−23230000000000
χ7044-444-4-4-4-2-4-4442-2-2222-2000000000000-22-220000000000004i−4i00000000000000000000000000−2i2i000000000000
χ7144-444-4-4-4-2-4-4442-2-2222-2000000000000-22-22000000000000−4i4i000000000000000000000000002i−2i000000000000
χ7244-4-4-444-44000044-4-4-44-400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ7344-4-4-444-44000044-4-4-44-4000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ744-444-4-44-4-20000-222-222-24i−4i0022−2222−22−2i22i2−2i22i200000000000000000000−2i2i00−22−22i2−i2i2−i200000000000000000000000000
χ754-444-4-44-4-20000-222-222-24i−4i00−2222−22222i2−2i22i2−2i200000000000000000000−2i2i002−22−2−i2i2−i2i200000000000000000000000000
χ764-444-4-44-4-20000-222-222-2−4i4i0022−2222−222i2−2i22i2−2i2000000000000000000002i−2i00−22−22−i2i2−i2i200000000000000000000000000
χ774-444-4-44-4-20000-222-222-2−4i4i00−2222−2222−2i22i2−2i22i2000000000000000000002i−2i002−22−2i2−i2i2−i200000000000000000000000000
χ784-44-444-4-4-24-4-4422-2-22-2200004i−4i−4i4i00002-2-2200000000000000000000−2i2i2i−2i000000000000000000000000000000
χ794-44-444-4-4-24-4-4422-2-22-220000−4i4i4i−4i00002-2-22000000000000000000002i−2i−2i2i000000000000000000000000000000
χ804-44-444-4-4-2-444-422-2-22-22000000004i−4i−4i4i-222-2000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ814-44-444-4-4-2-444-422-2-22-2200000000−4i4i4i−4i-222-20000000000000000000000002i−2i−2i2i00000000000000000000000000
χ824-4-44-44-4440000-4-4-4-44440000000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000
χ834-4-44-44-4440000-4-4-4-444400000000000000000000−222222−22−222222−22000000000000000000000000000000000000000000
χ844-4-4-44-4444-44-444-44-44-4-4000000000000-4-444000000000000000000000000000000000000000000000000000000
χ854-4-4-44-444-24-44-4-22-22-222000000000000-2-222000000000000004-40000000000000000000000000000-2200000000
χ864-4-4-44-444-24-44-4-22-22-222000000000000-2-22200000000000000-4400000000000000000000000000002-200000000
χ874-4-4-44-444-2-44-44-22-22-22200000000000022-2-2000000000000000000000000000000000000000000000023−23000000
χ884-4-4-44-444-2-44-44-22-22-22200000000000022-2-20000000000000000000000000000000000000000000000−2323000000
χ8988-8-8-888-8-40000-4-4444-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-88-400004444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000

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