Finite Group Databasebeta

← Group #10877182

Character table — Group #10877182

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222222224444444444448888888888888816161616161616161616161624242424242424242424242424242424
order122222344446661212121222446688881212668812122424242424242424888824242424242424242444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ5111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-11111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-111-1-1-111-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-11-1-1111-1-11111-1-1
χ11111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111-1-111
χ12111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-11111-111-1-1-1-1-11111-1-1
χ14111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11-1-111111-1-1-1-111
χ15111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11111-1-111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ172222222-2-2-2-2222-2-2-2-222-2-2220000-2-22200-2-2000000000000000000000000000000002i−2i2i−2i
χ182222222-2-2-2-2222-2-2-2-222-2-2220000-2-22200-2-200000000000000000000000000000000−2i2i−2i2i
χ192222222-2-2-2-2222-2-2-2-2-2-222220000-2-2-2-20022000000000000000000000000000000002i−2i−2i2i
χ202222222-2-2-2-2222-2-2-2-2-2-222220000-2-2-2-2002200000000000000000000000000000000−2i2i2i−2i
χ21222222-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-12222-1-1-1-1-1-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-2-2-1-11111111122-2-2-1-1-1-111110000000000000000
χ24222222-12222-1-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-2-2-1-111111111-2-2221111-1-1-1-10000000000000000
χ25222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-111-2-211-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ26222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-12222-1-111-2-211-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ27222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-11122111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ28222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-1-11122111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ292222-2-2222-2-222222222-22-2-2-20000-2-22-2002-2000000000000000000002-2200-20000000000
χ302222-2-2222-2-222222222-22-2-2-20000-2-22-2002-200000000000000000000-22-20020000000000
χ312222-2-2222-2-22222222-22-22-2-20000-2-2-2200-22000000000000000000002-2-20020000000000
χ322222-2-2222-2-22222222-22-22-2-20000-2-2-2200-2200000000000000000000-22200-20000000000
χ332222-2-22-2-222222-2-2-2-22-2-22-2-222-2-2222-22-2-2222-2-222-2-20000000000000000000000000000
χ342222-2-22-2-222222-2-2-2-22-2-22-2-2-2-222222-2-22-22-2-222-2-2220000000000000000000000000000
χ352222-2-22-2-222222-2-2-2-2-222-2-2-222-2-222-22-222-222-2-2-2-2220000000000000000000000000000
χ362222-2-22-2-222222-2-2-2-2-222-2-2-2-2-22222-222-22-2-2-22222-2-20000000000000000000000000000
χ372222-2-2-1-2-222-1-1-111112-2-221122-2-2-1-1-112-21-1-1-111-1-11100003−33−33−33−30000000000000000
χ382222-2-2-1-2-222-1-1-111112-2-221122-2-2-1-1-112-21-1-1-111-1-1110000−33−33−33−330000000000000000
χ392222-2-2-1-2-222-1-1-111112-2-2211-2-222-1-1-11-221-111-1-111-1-100003−33−3−33−330000000000000000
χ402222-2-2-1-2-222-1-1-111112-2-2211-2-222-1-1-11-221-111-1-111-1-10000−33−333−33−30000000000000000
χ412222-2-2-1-2-222-1-1-11111-222-21122-2-2-1-11-1-22-11-1-11111-1-100003−3−333−3−330000000000000000
χ422222-2-2-1-2-222-1-1-11111-222-21122-2-2-1-11-1-22-11-1-11111-1-10000−333−3−333−30000000000000000
χ432222-2-2-1-2-222-1-1-11111-222-211-2-222-1-11-12-2-1111-1-1-1-11100003−3−33−333−30000000000000000
χ442222-2-2-1-2-222-1-1-11111-222-211-2-222-1-11-12-2-1111-1-1-1-1110000−333−33−3−330000000000000000
χ4522-2-22-222-2-22-2-2222-2-200002-22-22-2-220000002-22-200000000000000000000002i−2i002i−2i0000
χ4622-2-22-222-2-22-2-2222-2-200002-22-22-2-220000002-22-20000000000000000000000−2i2i00−2i2i0000
χ4722-2-22-222-2-22-2-2222-2-200002-2-22-22-22000000-22-2200000000000000000000002i−2i00−2i2i0000
χ4822-2-22-222-2-22-2-2222-2-200002-2-22-22-22000000-22-220000000000000000000000−2i2i002i−2i0000
χ4922-2-2-222-22-22-2-22-2-2220000-222-2-22-220000002-2-2200000000000000000002i−2i0002i−2i000000
χ5022-2-2-222-22-22-2-22-2-2220000-222-2-22-220000002-2-220000000000000000000−2i2i000−2i2i000000
χ5122-2-2-222-22-22-2-22-2-2220000-22-222-2-22000000-222-200000000000000000002i−2i000−2i2i000000
χ5222-2-2-222-22-22-2-22-2-2220000-22-222-2-22000000-222-20000000000000000000−2i2i0002i−2i000000
χ53444444-2-4-4-4-4-2-2-2222244-4-4-2-2000022-2-20022000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-22222-4-444-2-20000222200-2-2000000000000000000000000000000000000
χ554444-4-4-244-4-4-2-2-2-2-2-2-24-44-422000022-2200-22000000000000000000000000000000000000
χ564444-4-4-244-4-4-2-2-2-2-2-2-2-44-44220000222-2002-2000000000000000000000000000000000000
χ5744-4-44-44-444-4-4-44-4-44400004-400004-4000000000000000000000000000000000000000000
χ5844-4-44-4-24-4-4422-2-2-2220000-224-44-42-2000000-22-2200000000000000000000000000000000
χ5944-4-44-4-24-4-4422-2-2-2220000-22-44-442-20000002-22-200000000000000000000000000000000
χ6044-4-44-4-2-444-422-222-2-20000-220000-22000000000023−2323−230000000000000000000000000000
χ6144-4-44-4-2-444-422-222-2-20000-220000-220000000000−2323−23230000000000000000000000000000
χ6244-4-4-4444-44-4-4-4444-4-40000-4400004-4000000000000000000000000000000000000000000
χ6344-4-4-44-24-44-422-2-2-22200002-20000-22000000000023−23−23230000000000000000000000000000
χ6444-4-4-44-24-44-422-2-2-22200002-20000-220000000000−232323−230000000000000000000000000000
χ6544-4-4-44-2-44-4422-222-2-200002-24-4-442-2000000-222-200000000000000000000000000000000
χ6644-4-4-44-2-44-4422-222-2-200002-2-444-42-20000002-2-2200000000000000000000000000000000
χ678-88-800800008-8-80000000000000000000000000000000000000000000000000000000000
χ688-88-800-40000-44443−4343−43000000000000000000000000000000000000000000000000000000
χ698-88-800-40000-444−4343−4343000000000000000000000000000000000000000000000000000000
χ708-8-880080000-88-80000000000000000000000000000000000000000000000000000000000
χ718-8-8800-400004-4443−43−4343000000000000000000000000000000000000000000000000000000
χ728-8-8800-400004-44−434343−43000000000000000000000000000000000000000000000000000000

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