Finite Group Databasebeta

← Group #10826851

Character table — Group #10826851

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444444448888888888881212121212121212161616161616161616161616242424242424242424242424
order12222234444444466622444466121212121212121222666666121212124444444488882424242424242424222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11-111-1-1-1-11-1
χ611111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-11
χ711111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-11111-11
χ811111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1111-1
χ91111111-1-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-111
χ101111111-1-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-11111-1-11111-1-1-1-1
χ111111111-1-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-1-1-1111111-1-1
χ121111111-1-1-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111-1-1-1-11111
χ131111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-11-1-1-111111-1
χ141111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1111-1-111-11
χ151111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1111-1-1-1-1-11
χ161111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1111-1-1-111-1-11-1
χ1722222222222-2-2-2-2222-2-222-2-2222222-2-2-2-22-2-2-222-2-222-2-200000000000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-222222222-2-2-2-2-22-2-2-2-222-2-22200000000000000000000000000000000
χ192222222-2-2-2-2-2-2-2-22222222-2-222-2-2-2-2-2-2-2-2-2222-2-22222-2-200000000000000000000000000000000
χ202222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-2-2-2-22-22222-2-2-2-22200000000000000000000000000000000
χ21222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ22222222-122222222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ23222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-1-1111111110000000022-2-2-1-1-1-11111000000000000
χ24222222-122222222-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-2-2-1-11111111100000000-2-2221111-1-1-1-1000000000000
χ25222222-12222-2-2-2-2-1-1-1-2-222-2-2-1-1-1-1-1-111112-211-1-111-1-1110000000000003−33−33−33−3000000000000
χ26222222-12222-2-2-2-2-1-1-1-2-222-2-2-1-1-1-1-1-111112-211-1-111-1-111000000000000−33−33−33−33000000000000
χ27222222-12222-2-2-2-2-1-1-1-2-2-2-222-1-1-1-1-1-11111-221111-1-111-1-10000000000003−33−3−33−33000000000000
χ28222222-12222-2-2-2-2-1-1-1-2-2-2-222-1-1-1-1-1-11111-221111-1-111-1-1000000000000−33−333−33−3000000000000
χ29222222-1-2-2-2-22222-1-1-1-2-22222-1-11111-1-1-1-1-2-2111111-1-1-1-1000000002-22-2-1-111-1-111000000000000
χ30222222-1-2-2-2-22222-1-1-1-2-22222-1-11111-1-1-1-1-2-2111111-1-1-1-100000000-22-2211-1-111-1-1000000000000
χ31222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-11111-1-1-1-12211-1-1-1-11111000000002-2-22-1-11111-1-1000000000000
χ32222222-1-2-2-2-22222-1-1-1-2-2-2-2-2-2-1-11111-1-1-1-12211-1-1-1-1111100000000-222-211-1-1-1-111000000000000
χ33222222-1-2-2-2-2-2-2-2-2-1-1-12222-2-2-1-111111111-22-1-111-1-1-1-1110000000000003−3−333−3−33000000000000
χ34222222-1-2-2-2-2-2-2-2-2-1-1-12222-2-2-1-111111111-22-1-111-1-1-1-111000000000000−333−3−333−3000000000000
χ35222222-1-2-2-2-2-2-2-2-2-1-1-122-2-222-1-1111111112-2-1-1-1-11111-1-10000000000003−3−33−333−3000000000000
χ36222222-1-2-2-2-2-2-2-2-2-1-1-122-2-222-1-1111111112-2-1-1-1-11111-1-1000000000000−333−33−3−33000000000000
χ372222-2-2222-2-222-2-22222-20000-2-222-2-222-2-2002-200000000000000000000000000000002002-2000-2
χ382222-2-2222-2-222-2-22222-20000-2-222-2-222-2-2002-20000000000000000000000000000000-200-220002
χ392222-2-2222-2-2-2-222222-220000-2-222-2-2-2-22200-22000000000000000000000000000000202-20000-20
χ402222-2-2222-2-2-2-222222-220000-2-222-2-2-2-22200-22000000000000000000000000000000-20-22000020
χ412222-2-22-2-22222-2-2222-220000-2-2-2-22222-2-200-220000000000000000000000000000000200-22000-2
χ422222-2-22-2-22222-2-2222-220000-2-2-2-22222-2-200-220000000000000000000000000000000-2002-20002
χ432222-2-22-2-222-2-2222222-20000-2-2-2-222-2-222002-200000000000000000000000000000020-220000-20
χ442222-2-22-2-222-2-2222222-20000-2-2-2-222-2-222002-2000000000000000000000000000000-202-2000020
χ452-2-22-22200002-22-2-2-22002-22-22-200002-22-2000000002-22-2000022-2-2000000000000000000002-200
χ462-2-22-22200002-22-2-2-22002-22-22-200002-22-2000000002-22-20000-2-22200000000000000000000-2200
χ472-2-22-22200002-22-2-2-2200-22-222-200002-22-200000000-22-22000022-2-200000000000000000000-2200
χ482-2-22-22200002-22-2-2-2200-22-222-200002-22-200000000-22-220000-2-222000000000000000000002-200
χ492-2-22-2220000-22-22-2-22002-2-222-20000-22-22000000002-2-2222-2-200000000000000002-20000000000
χ502-2-22-2220000-22-22-2-22002-2-222-20000-22-22000000002-2-22-2-2220000000000000000-220000000000
χ512-2-22-2220000-22-22-2-2200-222-22-20000-22-2200000000-222-222-2-20000000000000000-220000000000
χ522-2-22-2220000-22-22-2-2200-222-22-20000-22-2200000000-222-2-2-22200000000000000002-20000000000
χ534444-4-4-244-4-444-4-4-2-2-24-4000022-2-222-2-22200-220000000000000000000000000000000000000000
χ544444-4-4-244-4-4-4-444-2-2-2-44000022-2-22222-2-2002-20000000000000000000000000000000000000000
χ554444-4-4-2-4-44444-4-4-2-2-2-4400002222-2-2-2-222002-20000000000000000000000000000000000000000
χ564444-4-4-2-4-444-4-444-2-2-24-400002222-2-222-2-200-220000000000000000000000000000000000000000
χ5744-4-4004004i−4i00004-4-400000000004i−4i00000000000000002i−2i2i−2i2-22-2000000000000000000000000
χ5844-4-4004004i−4i00004-4-400000000004i−4i0000000000000000−2i2i−2i2i-22-22000000000000000000000000
χ5944-4-400400−4i4i00004-4-40000000000−4i4i00000000000000002i−2i2i−2i-22-22000000000000000000000000
χ6044-4-400400−4i4i00004-4-40000000000−4i4i0000000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ614-44-40044i−4i000000-44-4000000004i−4i0000000000000000002i−2i−2i2i2-2-22000000000000000000000000
χ624-44-40044i−4i000000-44-4000000004i−4i000000000000000000−2i2i2i−2i-222-2000000000000000000000000
χ634-44-4004−4i4i000000-44-400000000−4i4i0000000000000000002i−2i−2i2i-222-2000000000000000000000000
χ644-44-4004−4i4i000000-44-400000000−4i4i000000000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ654-4-444-4400004-4-44-4-44000000-4400004-4-4400000000000000000000000000000000000000000000
χ664-4-444-440000-444-4-4-44000000-440000-444-400000000000000000000000000000000000000000000
χ674-4-444-4-200004-4-4422-20000002-20000-222-20000−2i32i3−2i32i3000000000000000000000000000000000000
χ684-4-444-4-200004-4-4422-20000002-20000-222-200002i3−2i32i3−2i3000000000000000000000000000000000000
χ694-4-444-4-20000-444-422-20000002-200002-2-220000−2i32i32i3−2i3000000000000000000000000000000000000
χ704-4-444-4-20000-444-422-20000002-200002-2-2200002i3−2i3−2i32i3000000000000000000000000000000000000
χ714-4-44-44-200004-44-422-2004-44-4-220000-22-2200000000-22-2200000000000000000000000000000000
χ724-4-44-44-200004-44-422-200-44-44-220000-22-22000000002-22-200000000000000000000000000000000
χ734-4-44-44-20000-44-4422-2004-4-44-2200002-22-200000000-222-200000000000000000000000000000000
χ744-4-44-44-20000-44-4422-200-444-4-2200002-22-2000000002-2-2200000000000000000000000000000000
χ7588-8-800-4008i−8i0000-4440000000000−4i4i000000000000000000000000000000000000000000000000
χ7688-8-800-400−8i8i0000-44400000000004i−4i000000000000000000000000000000000000000000000000
χ778-88-800-48i−8i0000004-4400000000−4i4i00000000000000000000000000000000000000000000000000
χ788-88-800-4−8i8i0000004-44000000004i−4i00000000000000000000000000000000000000000000000000

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