Finite Group Databasebeta

← Group #10849405

Character table — Group #10849405

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222224444444444444444444444448888888888888888888888888888888812121212121212122424242448484848
order12222234444444466644444466121212121212121212121212121212122224444444666666121212121212121212121212121212124444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ61111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111111111111111111-1-1-1-111-1-1
χ81111111111111111111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111
χ911111111-1-1-1-1111111-111-11111-1-111111111-1-11111-11-1-11-111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ1011111111-1-1-1-1111111-111-11111-1-111111111-1-11111-11-1-11-111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ1111111111-1-1-1-1111111-111-11111-1-111111111-1-11111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-11-11
χ1211111111-1-1-1-1111111-111-11111-1-111111111-1-11111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1111111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1
χ1411111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-11
χ1511111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1111-1-111-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1-1-1111-1-11
χ1611111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1111-1-111-1-111-111-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-111-1
χ172222222-222-2-2-2-2-2222200-20022-2-20000-2-2-2-22200000000002-22-2000000-2000000222-2-222-2-20000000000000000
χ182222222-222-2-2-2-2-2222200-20022-2-20000-2-2-2-2220000000000-22-22000000-20000002-2-222-2-2220000000000000000
χ192222222-2-2-222-2-2-2222-20020022220000-2-2-2-2-2-200000000002-2-220000002000000-222-2-2-2-2220000000000000000
χ202222222-2-2-222-2-2-2222-20020022220000-2-2-2-2-2-20000000000-222-20000002000000-2-2-22222-2-20000000000000000
χ21222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-2-1-11111-1-1-11111-1111111110000000000000000
χ23222222-122222222-1-1-12-2-22-2-2-1-1-1-11111-1-1-1-1-1-11111-222-222-2-2-2-211-1-1-1-1-111-1-1-1-1-1111111110000000000000000
χ24222222-122222222-1-1-12-2-22-2-2-1-1-1-11111-1-1-1-1-1-11111-2-2-2-2-2-22222111111-1111111-1-1-1-1-1-1-1-1-10000000000000000
χ25222222-12-2-2-2-2222-1-1-1-222-222-1-111-1-1-1-1-1-1-1-111-1-1-1-1-22-2-22-222-2-211-1-111111-1-1111-1-1-1-111110000000000000000
χ26222222-12-2-2-2-2222-1-1-1-222-222-1-111-1-1-1-1-1-1-1-111-1-1-1-1-2-22-2-22-2-2221111-1-111111-1-111111-1-1-1-10000000000000000
χ27222222-12-2-2-2-2222-1-1-1-2-2-2-2-2-2-1-1111111-1-1-1-111111122-222-2-2-222-1-1-1-1111-1-1-1-11111111-1-1-1-10000000000000000
χ28222222-12-2-2-2-2222-1-1-1-2-2-2-2-2-2-1-1111111-1-1-1-11111112-222-2222-2-2-1-111-1-11-1-111-1-11-1-1-1-111110000000000000000
χ29222222-1-222-2-2-2-2-2-1-1-1200-200-1-111−i3−i3i3i31111-1-1−i3−i3i3i30000002-22-2−i3i3−i3i3−i3i31−i3i3−i3i3−i3i3-1-1-111-1-1110000000000000000
χ30222222-1-222-2-2-2-2-2-1-1-1200-200-1-111−i3−i3i3i31111-1-1−i3−i3i3i3000000-22-22−i3i3i3−i3i3−i31−i3i3i3−i3i3−i3-111-1-111-1-10000000000000000
χ31222222-1-222-2-2-2-2-2-1-1-1200-200-1-111i3i3−i3−i31111-1-1i3i3−i3−i30000002-22-2i3−i3i3−i3i3−i31i3−i3i3−i3i3−i3-1-1-111-1-1110000000000000000
χ32222222-1-222-2-2-2-2-2-1-1-1200-200-1-111i3i3−i3−i31111-1-1i3i3−i3−i3000000-22-22i3−i3−i3i3−i3i31i3−i3−i3i3−i3i3-111-1-111-1-10000000000000000
χ33222222-1-2-2-222-2-2-2-1-1-1-200200-1-1-1-1−i3−i3i3i3111111−i3−i3i3i30000002-2-22i3−i3−i3i3i3−i3-1i3−i3−i3i3i3−i31-1-11111-1-10000000000000000
χ34222222-1-2-2-222-2-2-2-1-1-1-200200-1-1-1-1−i3−i3i3i3111111−i3−i3i3i3000000-222-2i3−i3i3−i3−i3i3-1i3−i3i3−i3−i3i3111-1-1-1-1110000000000000000
χ35222222-1-2-2-222-2-2-2-1-1-1-200200-1-1-1-1i3i3−i3−i3111111i3i3−i3−i30000002-2-22−i3i3i3−i3−i3i3-1−i3i3i3−i3−i3i31-1-11111-1-10000000000000000
χ36222222-1-2-2-222-2-2-2-1-1-1-200200-1-1-1-1i3i3−i3−i3111111i3i3−i3−i3000000-222-2−i3i3−i3i3i3−i3-1−i3i3−i3i3i3−i3111-1-1-1-1110000000000000000
χ372222-2-22222-2-2-2-22222-2222-2-2-2-2-2-2-2-2-2-222-2-2222222200-20000002200002-2-20000-2000000000000000000000000
χ382222-2-22222-2-2-2-22222-2-2-2222-2-2-2-2222222-2-222-2-2-2-2-2002000000-2-200002220000-2000000000000000000000000
χ392222-2-222-2-222-2-22222222-2-2-2-2-222-2-2-2-222-2-2-2-22222-2002000000-2-20000-22200002000000000000000000000000
χ402222-2-222-2-222-2-222222-2-2-222-2-222222222-2-2-2-2-2-2-2-2200-2000000220000-2-2-200002000000000000000000000000
χ412222-2-22-2222222-2222-200-200-2-2220000-2-2222200000220-2-20000002222-200-2-2-2-2-2000000000000000000000000
χ422222-2-22-2222222-2222-200-200-2-2220000-2-2222200000-2-2022000000-2-2-2-2-2002222-2000000000000000000000000
χ432222-2-22-2-2-2-2-222-2222200200-2-2-2-20000-2-222-2-2000002-20-2200000022-2-2200-2-2222000000000000000000000000
χ442222-2-22-2-2-2-2-222-2222200200-2-2-2-20000-2-222-2-200000-2202-2000000-2-22220022-2-22000000000000000000000000
χ452222-2-2-1222-2-2-2-22-1-1-1-2222-2-211111111-1-111-1-1-1-1-1-1200-2000000-1-1−i3i3−i3i3-111i3−i3i3−i31−i3i3−i3i3−i3i3−i3i30000000000000000
χ462222-2-2-1222-2-2-2-22-1-1-1-2222-2-211111111-1-111-1-1-1-1-1-1200-2000000-1-1i3−i3i3−i3-111−i3i3−i3i31i3−i3i3−i3i3−i3i3−i30000000000000000
χ472222-2-2-1222-2-2-2-22-1-1-1-2-2-22221111-1-1-1-1-1-111-1-11111-200200000011−i3i3−i3i3-1-1-1i3−i3i3−i31i3−i3i3−i3i3−i3i3−i30000000000000000
χ482222-2-2-1222-2-2-2-22-1-1-1-2-2-22221111-1-1-1-1-1-111-1-11111-200200000011i3−i3i3−i3-1-1-1−i3i3−i3i31−i3i3−i3i3−i3i3−i3i30000000000000000
χ492222-2-2-12-2-222-2-22-1-1-1222-2-2-211-1-11111-1-11111-1-1-1-1-200200000011−i3i3i3−i31-1-1i3−i3−i3i3-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ502222-2-2-12-2-222-2-22-1-1-1222-2-2-211-1-11111-1-11111-1-1-1-1-200200000011i3−i3−i3i31-1-1−i3i3i3−i3-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ512222-2-2-12-2-222-2-22-1-1-12-2-2-22211-1-1-1-1-1-1-1-111111111200-2000000-1-1−i3i3i3−i3111i3−i3−i3i3-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ522222-2-2-12-2-222-2-22-1-1-12-2-2-22211-1-1-1-1-1-1-1-111111111200-2000000-1-1i3−i3−i3i3111−i3i3i3−i3-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ532222-2-2-1-2222222-2-1-1-1-200-20011-1-1−i3−i3i3i311-1-1-1-1i3i3−i3−i30220-2-20000i3−i3-1-1-1-11−i3i311111i3−i3−i3i3i3−i3−i3i30000000000000000
χ542222-2-2-1-2222222-2-1-1-1-200-20011-1-1−i3−i3i3i311-1-1-1-1i3i3−i3−i30-2-20220000i3−i311111−i3i3-1-1-1-11−i3i3i3−i3−i3i3i3−i30000000000000000
χ552222-2-2-1-2222222-2-1-1-1-200-20011-1-1i3i3−i3−i311-1-1-1-1−i3−i3i3i30220-2-20000−i3i3-1-1-1-11i3−i311111−i3i3i3−i3−i3i3i3−i30000000000000000
χ562222-2-2-1-2222222-2-1-1-1-200-20011-1-1i3i3−i3−i311-1-1-1-1−i3−i3i3i30-2-20220000−i3i311111i3−i3-1-1-1-11i3−i3−i3i3i3−i3−i3i30000000000000000
χ572222-2-2-1-2-2-2-2-222-2-1-1-12002001111−i3−i3i3i311-1-111i3i3−i3−i302-20-220000−i3i3-1-111-1i3−i311-1-1-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ582222-2-2-1-2-2-2-2-222-2-1-1-12002001111−i3−i3i3i311-1-111i3i3−i3−i30-2202-20000−i3i311-1-1-1i3−i3-1-111-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ592222-2-2-1-2-2-2-2-222-2-1-1-12002001111i3i3−i3−i311-1-111−i3−i3i3i302-20-220000i3−i3-1-111-1−i3i311-1-1-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ602222-2-2-1-2-2-2-2-222-2-1-1-12002001111i3i3−i3−i311-1-111−i3−i3i3i30-2202-20000i3−i311-1-1-1−i3i3-1-111-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ6122-2-22-22-200002-22-22-202i−2i02i−2i2-2002i−2i2i−2i2-22-2002i−2i2i−2i00000000000000000000000000000000000022-2-2002i−2i0000
χ6222-2-22-22-200002-22-22-202i−2i02i−2i2-2002i−2i2i−2i2-22-2002i−2i2i−2i000000000000000000000000000000000000-2-22200−2i2i0000
χ6322-2-22-22-200002-22-22-20−2i2i0−2i2i2-200−2i2i−2i2i2-22-200−2i2i−2i2i00000000000000000000000000000000000022-2-200−2i2i0000
χ6422-2-22-22-200002-22-22-20−2i2i0−2i2i2-200−2i2i−2i2i2-22-200−2i2i−2i2i000000000000000000000000000000000000-2-222002i−2i0000
χ6522-2-2-222-20000-222-22-202i−2i0−2i2i-2200−2i2i−2i2i2-2-22002i−2i2i−2i0000000000000000000000000000000022-2-200002i−2i000000
χ6622-2-2-222-20000-222-22-202i−2i0−2i2i-2200−2i2i−2i2i2-2-22002i−2i2i−2i00000000000000000000000000000000-2-2220000−2i2i000000
χ6722-2-2-222-20000-222-22-20−2i2i02i−2i-22002i−2i2i−2i2-2-2200−2i2i−2i2i0000000000000000000000000000000022-2-20000−2i2i000000
χ6822-2-2-222-20000-222-22-20−2i2i02i−2i-22002i−2i2i−2i2-2-2200−2i2i−2i2i00000000000000000000000000000000-2-22200002i−2i000000
χ6944-4-44-4440000-44-4-44-40000004-4000000-44-44000000000000000000000000000000000000000000000000000000
χ7044-4-44-4-240000-44-42-22000000-220023−23−23232-22-20023−23−2323000000000000000000000000000000000000000000000000
χ7144-4-44-4-240000-44-42-22000000-2200−232323−232-22-200−232323−23000000000000000000000000000000000000000000000000
χ7244-4-44-4-2-400004-442-2204i−4i04i−4i-2200−2i2i−2i2i-22-2200−2i2i−2i2i000000000000000000000000000000000000000000000000
χ7344-4-44-4-2-400004-442-220−4i4i0−4i4i-22002i−2i2i−2i-22-22002i−2i2i−2i000000000000000000000000000000000000000000000000
χ7444-4-4-444400004-4-4-44-4000000-44000000-444-4000000000000000000000000000000000000000000000000000000
χ7544-4-4-44-2400004-4-42-220000002-20023−23−23232-2-2200−232323−23000000000000000000000000000000000000000000000000
χ7644-4-4-44-2400004-4-42-220000002-200−232323−232-2-220023−23−2323000000000000000000000000000000000000000000000000
χ7744-4-4-44-2-40000-4442-2204i−4i0−4i4i2-2002i−2i2i−2i-222-200−2i2i−2i2i000000000000000000000000000000000000000000000000
χ7844-4-4-44-2-40000-4442-220−4i4i04i−4i2-200−2i2i−2i2i-222-2002i−2i2i−2i000000000000000000000000000000000000000000000000
χ794-44-400404-400000-4-440000000000000000004-40000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ804-44-400404-400000-4-440000000000000000004-4000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ814-44-40040-4400000-4-44000000000000000000-440000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ824-44-40040-4400000-4-44000000000000000000-44000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ834-4-440040004-40004-4-4000000004-400000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ844-4-440040004-40004-4-4000000004-40000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ854-4-44004000-440004-4-400000000-4400000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ864-4-44004000-440004-4-400000000-440000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ878-88-800-408-80000044-4000000000000000000-440000000000000000000000000000000000000000000000000000
χ888-88-800-40-880000044-40000000000000000004-40000000000000000000000000000000000000000000000000000
χ898-8-8800-40008-8000-44400000000-4400000000000000000000000000000000000000000000000000000000000000
χ908-8-8800-4000-88000-444000000004-400000000000000000000000000000000000000000000000000000000000000

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