Finite Group Databasebeta

← Group #76509

Character table — Group #76509

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222344446666666444444441212121212121212121212124444441212121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-111-11
χ11111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111-11
χ12111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1-11-1
χ13111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-11111-1-1-11
χ14111111111-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-111-1-1-11
χ1722222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ1922222222-12222-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-2-21111-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1000022-1-1-1-11111000000000000
χ2122222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111111100002-2-1-111-1-111000000000000
χ2222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1111111110000-2211-1-111-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-111110000-2211-1-1-1-111000000000000
χ2422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-1111100002-2-1-11111-1-1000000000000
χ25222-22-2-2-2222-2-222-2-2-2-22002-22-2000000000022-2-200000000002-22-2000000000000
χ26222-22-2-2-2222-2-222-2-2-2-2200-22-22000000000022-2-20000000000-22-22000000000000
χ27222-22-2-2-22-2-22222-2-2-2-22002-2-220000000000-2-22200000000002-2-22000000000000
χ28222-22-2-2-22-2-22222-2-2-2-2200-222-20000000000-2-2220000000000-222-2000000000000
χ29222-22-2-2-2-122-2-2-1-11111-1002-22-20033−3−333−3−3-1-1110000003−33−3-11-11000000000000
χ30222-22-2-2-2-122-2-2-1-11111-1002-22-200−3−333−3−333-1-111000000−33−33-11-11000000000000
χ31222-22-2-2-2-122-2-2-1-11111-100-22-220033−3−333−3−3-1-111000000−33−331-11-1000000000000
χ32222-22-2-2-2-122-2-2-1-11111-100-22-2200−3−333−3−333-1-1110000003−33−31-11-1000000000000
χ33222-22-2-2-2-1-2-222-1-11111-1002-2-220033−3−3−3−33311-1-10000003−3−33-111-1000000000000
χ34222-22-2-2-2-1-2-222-1-11111-1002-2-2200−3−33333−3−311-1-1000000−333−3-111-1000000000000
χ35222-22-2-2-2-1-2-222-1-11111-100-222-20033−3−3−3−33311-1-1000000−333−31-1-11000000000000
χ36222-22-2-2-2-1-2-222-1-11111-100-222-200−3−33333−3−311-1-10000003−3−331-1-11000000000000
χ3722-22-22-2-2200002-222-2-2-22-20000002-22-20000000022-2-200000000002-20000000000
χ3822-22-22-2-2200002-222-2-2-22-20000002-22-200000000-2-2220000000000-220000000000
χ3922-22-22-2-2200002-222-2-2-2-22000000-22-220000000022-2-20000000000-220000000000
χ4022-22-22-2-2200002-222-2-2-2-22000000-22-2200000000-2-22200000000002-20000000000
χ412-222-2-2-2220000-22-22-22-20000002i−2i00002i−2i2i−2i00002i−2i2i−2i000000000000002-2000000
χ422-222-2-2-2220000-22-22-22-20000002i−2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000-22000000
χ432-222-2-2-2220000-22-22-22-2000000−2i2i0000−2i2i−2i2i00002i−2i2i−2i00000000000000-22000000
χ442-222-2-2-2220000-22-22-22-2000000−2i2i0000−2i2i−2i2i0000−2i2i−2i2i000000000000002-2000000
χ452-2-222-22-222-22-2-2-2-222-2200000000000000002-22-22i−2i−2i2i0000000000002i−2i00000000
χ462-2-222-22-222-22-2-2-2-222-2200000000000000002-22-2−2i2i2i−2i000000000000−2i2i00000000
χ472-2-222-22-22-22-22-2-2-222-220000000000000000-22-222i−2i−2i2i000000000000−2i2i00000000
χ482-2-222-22-22-22-22-2-2-222-220000000000000000-22-22−2i2i2i−2i0000000000002i−2i00000000
χ492-2-2-222-2222-2-22-2-22-2-22200000000000000002-2-22000000000000000000002-22-200
χ502-2-2-222-2222-2-22-2-22-2-22200000000000000002-2-2200000000000000000000-22-2200
χ512-2-2-222-222-222-2-2-22-2-2220000000000000000-222-2000000000000000000002-2-2200
χ522-2-2-222-222-222-2-2-22-2-2220000000000000000-222-200000000000000000000-222-200
χ5344-44-44-4-4-20000-22-2-22224-4000000-22-220000000000000000000000000000000000
χ5444-44-44-4-4-20000-22-2-2222-440000002-22-20000000000000000000000000000000000
χ5544-4-4-4-444400004-4-4-444-40000000000000000000000000000000000000000000000
χ5644-4-4-4-444-20000-2222-2-220000000023−23−23230000000000000000000000000000000000
χ5744-4-4-4-444-20000-2222-2-2200000000−232323−230000000000000000000000000000000000
χ584-444-4-4-44-200002-22-22-220000004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ594-444-4-4-44-200002-22-22-22000000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ604-44-4-444-440000-444-44-4-40000000000000000000000000000000000000000000000
χ614-44-4-444-4-200002-2-22-222000000000000−2i32i32i3−2i3000000000000000000000000000000
χ624-44-4-444-4-200002-2-22-2220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ634-4-444-44-4-24-44-4222-2-22-20000000000000000-22-2200000000000000000000000000
χ644-4-444-44-4-2-44-44222-2-22-200000000000000002-22-200000000000000000000000000
χ654-4-4-444-44-24-4-4422-222-2-20000000000000000-222-200000000000000000000000000
χ664-4-4-444-44-2-444-422-222-2-200000000000000002-2-2200000000000000000000000000

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