Finite Group Databasebeta

← Group #74191

Character table — Group #74191

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666644121212121212121212121212444412121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-1-1-11111-1-111-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-111-1-111
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-1-1-1-111-1-11111
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-1-1-1-1-1111111
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ1722222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1822222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-111110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ25222-2-22-2-2222-2-20000222-2-2-2-20022-2-2000000000000000000002-22-2000000000000
χ26222-2-22-2-2222-2-20000222-2-2-2-20022-2-200000000000000000000-22-22000000000000
χ27222-2-22-2-22-2-2220000222-2-2-2-200-2-222000000000000000000002-2-22000000000000
χ28222-2-22-2-22-2-2220000222-2-2-2-200-2-22200000000000000000000-222-2000000000000
χ2922-22-2-2-22200002i2i−2i−2i2-2-22-22-20000002i2i−2i−2i000000000000000000002i−2i000000002-2
χ3022-22-2-2-22200002i2i−2i−2i2-2-22-22-20000002i2i−2i−2i00000000000000000000−2i2i00000000-22
χ3122-22-2-2-2220000−2i−2i2i2i2-2-22-22-2000000−2i−2i2i2i000000000000000000002i−2i00000000-22
χ3222-22-2-2-2220000−2i−2i2i2i2-2-22-22-2000000−2i−2i2i2i00000000000000000000−2i2i000000002-2
χ332-22-22-2-22200002i−2i2i−2i-22-22-2-220000002i−2i2i−2i00000000000000000000002i−2i00002-200
χ342-22-22-2-22200002i−2i2i−2i-22-22-2-220000002i−2i2i−2i0000000000000000000000−2i2i0000-2200
χ352-22-22-2-2220000−2i2i−2i2i-22-22-2-22000000−2i2i−2i2i00000000000000000000002i−2i0000-2200
χ362-22-22-2-2220000−2i2i−2i2i-22-22-2-22000000−2i2i−2i2i0000000000000000000000−2i2i00002-200
χ372-2-2222-2-222-22-20000-2-22-2-222002-22-200000000000000000000000000002i−2i2i−2i0000
χ382-2-2222-2-222-22-20000-2-22-2-222002-22-20000000000000000000000000000−2i2i−2i2i0000
χ392-2-2222-2-22-22-220000-2-22-2-22200-22-2200000000000000000000000000002i−2i−2i2i0000
χ402-2-2222-2-22-22-220000-2-22-2-22200-22-220000000000000000000000000000−2i2i2i−2i0000
χ412-2-2-2-222222-2-222-2-22-2-2222-2-22-22-2-222-2-2222-2-20000000000000000000000000000
χ422-2-2-2-222222-2-22-222-2-2-2222-2-2-222-2-22-222-2-2-2220000000000000000000000000000
χ432-2-2-2-22222-222-22-2-22-2-2222-2-2-22-222-22-2-22-2-2220000000000000000000000000000
χ442-2-2-2-22222-222-2-222-2-2-2222-2-22-2-222-2-222-222-2-20000000000000000000000000000
χ452-2-2-2-2222-12-2-222-2-2211-1-1-1112-2-111-1-111-1-1-11100003−33−33−33−30000000000000000
χ462-2-2-2-2222-12-2-222-2-2211-1-1-1112-2-111-1-111-1-1-1110000−33−33−33−330000000000000000
χ472-2-2-2-2222-12-2-22-222-211-1-1-111-22-111-11-1-1111-1-100003−33−3−33−330000000000000000
χ482-2-2-2-2222-12-2-22-222-211-1-1-111-22-111-11-1-1111-1-10000−33−333−33−30000000000000000
χ492-2-2-2-2222-1-222-22-2-2211-1-1-111-221-1-11-111-111-1-100003−3−333−3−330000000000000000
χ502-2-2-2-2222-1-222-22-2-2211-1-1-111-221-1-11-111-111-1-10000−333−3−333−30000000000000000
χ512-2-2-2-2222-1-222-2-222-211-1-1-1112-21-1-111-1-11-1-11100003−3−33−333−30000000000000000
χ522-2-2-2-2222-1-222-2-222-211-1-1-1112-21-1-111-1-11-1-1110000−333−33−3−330000000000000000
χ53444-4-44-4-4-244-4-40000-2-2-2222200-2-222000000000000000000000000000000000000
χ54444-4-44-4-4-2-4-4440000-2-2-222220022-2-2000000000000000000000000000000000000
χ5544-44-4-4-44-200004i4i−4i−4i-222-22-22000000−2i−2i2i2i00000000000000000000000000000000
χ5644-44-4-4-44-20000−4i−4i4i4i-222-22-220000002i2i−2i−2i00000000000000000000000000000000
χ5744-4-44-44-44000000004-4-4-44-44000000000000000000000000000000000000000000
χ5844-4-44-44-4-200000000-2222-22-2000000000023−2323−230000000000000000000000000000
χ5944-4-44-44-4-200000000-2222-22-20000000000−2323−23230000000000000000000000000000
χ604-444-4-44-4400000000-44-4-444-4000000000000000000000000000000000000000000
χ614-444-4-44-4-2000000002-222-2-22000000000023−23−23230000000000000000000000000000
χ624-444-4-44-4-2000000002-222-2-220000000000−232323−230000000000000000000000000000
χ634-44-44-4-44-200004i−4i4i−4i2-22-222-2000000−2i2i−2i2i00000000000000000000000000000000
χ644-44-44-4-44-20000−4i4i−4i4i2-22-222-20000002i−2i2i−2i00000000000000000000000000000000
χ654-4-4444-4-4-24-44-4000022-222-2-200-22-22000000000000000000000000000000000000
χ664-4-4444-4-4-2-44-44000022-222-2-2002-22-2000000000000000000000000000000000000

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