Finite Group Databasebeta

← Group #10883514

Character table — Group #10883514

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444448888888888888816161616161616161616161624242424242424242424242424242424
order12222234444666121212124444668888121288121212122424242424242424888824242424242424242222224444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1-1-1111-111-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-111-1111-1-1-11-1-111
χ11111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-11-1-111-11-1-111
χ12111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1111-111-1-11-111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111111-1-1-1-1-11-1-1-111
χ14111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-1-111111-1111-1-1
χ15111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111-11-1-1-1-1-1111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-11-111111-1-1-111
χ172222222-2-2-2-2222-2-2-2-222-2-2220000-2-20022-2-2000000000000000000000000000000002i−2i2i−2i
χ182222222-2-2-2-2222-2-2-2-222-2-2220000-2-20022-2-200000000000000000000000000000000−2i2i−2i2i
χ192222222-2-2-2-2222-2-2-2-2-2-222220000-2-200-2-222000000000000000000000000000000002i−2i−2i2i
χ202222222-2-2-2-2222-2-2-2-2-2-222220000-2-200-2-22200000000000000000000000000000000−2i2i2i−2i
χ21222222-12222-1-1-1-1-1-1-12222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-12222-1-1-1-1-1-1-12222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-111110000000000000000
χ24222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000000000
χ25222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-2-21111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ26222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-1-2-21111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ27222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-12211111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ28222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-12211111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ292222-2-222-2-22222-2-2-2-22-22-2-2-222-2-2222-22-22-222-2-222-2-20000000000000000000000000000
χ302222-2-222-2-22222-2-2-2-22-22-2-2-2-2-22222-222-22-2-2-222-2-2220000000000000000000000000000
χ312222-2-222-2-22222-2-2-2-2-22-22-2-222-2-222-22-22-2222-2-2-2-2220000000000000000000000000000
χ322222-2-222-2-22222-2-2-2-2-22-22-2-2-2-222222-2-22-22-2-22222-2-20000000000000000000000000000
χ332222-2-22-222-222222222-2-22-2-20000-2-2002-2-22000000000000000000000000220000-2-20000
χ342222-2-22-222-222222222-2-22-2-20000-2-2002-2-22000000000000000000000000-2-20000220000
χ352222-2-22-222-22222222-222-2-2-20000-2-200-222-20000000000000000000000002-20000-220000
χ362222-2-22-222-22222222-222-2-2-20000-2-200-222-2000000000000000000000000-2200002-20000
χ372222-2-2-12-2-22-1-1-111112-22-21122-2-2-1-12-2-11-11-1-111-1-11100003−33−33−33−30000000000000000
χ382222-2-2-12-2-22-1-1-111112-22-21122-2-2-1-12-2-11-11-1-111-1-1110000−33−33−33−330000000000000000
χ392222-2-2-12-2-22-1-1-111112-22-211-2-222-1-1-22-11-1111-1-111-1-100003−33−3−33−330000000000000000
χ402222-2-2-12-2-22-1-1-111112-22-211-2-222-1-1-22-11-1111-1-111-1-10000−33−333−33−30000000000000000
χ412222-2-2-12-2-22-1-1-11111-22-221122-2-2-1-1-221-11-1-1-11111-1-100003−3−333−3−330000000000000000
χ422222-2-2-12-2-22-1-1-11111-22-221122-2-2-1-1-221-11-1-1-11111-1-10000−333−3−333−30000000000000000
χ432222-2-2-12-2-22-1-1-11111-22-2211-2-222-1-12-21-11-111-1-1-1-11100003−3−33−333−30000000000000000
χ442222-2-2-12-2-22-1-1-11111-22-2211-2-222-1-12-21-11-111-1-1-1-1110000−333−33−3−330000000000000000
χ4522-2-22-2222-2-22-2-222-2-200002-22i−2i2i−2i2-20000002i−2i2i−2i00000000000000002-20000002i−2i000000
χ4622-2-22-2222-2-22-2-222-2-200002-22i−2i2i−2i2-20000002i−2i2i−2i0000000000000000-22000000−2i2i000000
χ4722-2-22-2222-2-22-2-222-2-200002-2−2i2i−2i2i2-2000000−2i2i−2i2i00000000000000002-2000000−2i2i000000
χ4822-2-22-2222-2-22-2-222-2-200002-2−2i2i−2i2i2-2000000−2i2i−2i2i0000000000000000-220000002i−2i000000
χ4922-2-2-2222-22-22-2-2-2-2220000-222i−2i−2i2i2-20000002i−2i−2i2i0000000000000000002-2002i−2i00000000
χ5022-2-2-2222-22-22-2-2-2-2220000-222i−2i−2i2i2-20000002i−2i−2i2i000000000000000000-2200−2i2i00000000
χ5122-2-2-2222-22-22-2-2-2-2220000-22−2i2i2i−2i2-2000000−2i2i2i−2i0000000000000000002-200−2i2i00000000
χ5222-2-2-2222-22-22-2-2-2-2220000-22−2i2i2i−2i2-2000000−2i2i2i−2i000000000000000000-22002i−2i00000000
χ53444444-2-4-4-4-4-2-2-2222244-4-4-2-200002200-2-222000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-22222-4-444-2-20000220022-2-2000000000000000000000000000000000000
χ554444-4-4-2-444-4-2-2-2-2-2-2-24-4-442200002200-222-2000000000000000000000000000000000000
χ564444-4-4-2-444-4-2-2-2-2-2-2-2-444-422000022002-2-22000000000000000000000000000000000000
χ5744-4-44-44-4-4444-4-4-4-44400004-40000-44000000000000000000000000000000000000000000
χ5844-4-44-4-244-4-4-222-2-2220000-224i−4i4i−4i-22000000−2i2i−2i2i00000000000000000000000000000000
χ5944-4-44-4-244-4-4-222-2-2220000-22−4i4i−4i4i-220000002i−2i2i−2i00000000000000000000000000000000
χ6044-4-44-4-2-4-444-22222-2-20000-2200002-2000000000023−2323−230000000000000000000000000000
χ6144-4-44-4-2-4-444-22222-2-20000-2200002-20000000000−2323−23230000000000000000000000000000
χ6244-4-4-444-44-444-4-444-4-40000-440000-44000000000000000000000000000000000000000000
χ6344-4-4-44-24-44-4-22222-2-200002-24i−4i−4i4i-22000000−2i2i2i−2i00000000000000000000000000000000
χ6444-4-4-44-24-44-4-22222-2-200002-2−4i4i4i−4i-220000002i−2i−2i2i00000000000000000000000000000000
χ6544-4-4-44-2-44-44-222-2-22200002-200002-2000000000023−23−23230000000000000000000000000000
χ6644-4-4-44-2-44-44-222-2-22200002-200002-20000000000−232323−230000000000000000000000000000
χ678-88-80080000-88-80000000000000000000000000000000000000000000000000000000000
χ688-88-800-400004-4443−4343−43000000000000000000000000000000000000000000000000000000
χ698-88-800-400004-44−4343−4343000000000000000000000000000000000000000000000000000000
χ708-8-880080000-8-880000000000000000000000000000000000000000000000000000000000
χ718-8-8800-4000044-443−43−4343000000000000000000000000000000000000000000000000000000
χ728-8-8800-4000044-4−434343−43000000000000000000000000000000000000000000000000000000

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