Finite Group Databasebeta

← Group #74015

Character table — Group #74015

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666662266661212121212121212444412121212121212122222224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ81111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11111-1-111-1-1-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-1-111-1-11111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-1-1-11111-1-111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1111111-1-1-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-111-1-111-1-1
χ14111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-1-111-1-111
χ15111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-11111
χ16111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-22-2211-1-111-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ2522-22-22-2-2200002i2i−2i−2i22-2-22-2-200000000002i2i−2i−2i00000000000000002-22i−2i00000000
χ2622-22-22-2-2200002i2i−2i−2i22-2-22-2-200000000002i2i−2i−2i0000000000000000-22−2i2i00000000
χ2722-22-22-2-220000−2i−2i2i2i22-2-22-2-20000000000−2i−2i2i2i00000000000000002-2−2i2i00000000
χ2822-22-22-2-220000−2i−2i2i2i22-2-22-2-20000000000−2i−2i2i2i0000000000000000-222i−2i00000000
χ2922-2-22-2-22222-2-200002-2-2-2-22200000022-2-2000000000000000000000000002-22-200
χ3022-2-22-2-22222-2-200002-2-2-2-22200000022-2-200000000000000000000000000-22-2200
χ3122-2-22-2-222-2-22200002-2-2-2-222000000-2-222000000000000000000000000002-2-2200
χ3222-2-22-2-222-2-22200002-2-2-2-222000000-2-22200000000000000000000000000-222-200
χ332-222-2-2-2222-22-20000-2-22-222-20000002-22-200000000000000002-22-2000000000000
χ342-222-2-2-2222-22-20000-2-22-222-20000002-22-20000000000000000-22-22000000000000
χ352-222-2-2-222-22-220000-2-22-222-2000000-22-2200000000000000002-2-22000000000000
χ362-222-2-2-222-22-220000-2-22-222-2000000-22-220000000000000000-222-2000000000000
χ372-22-222-2-2200002i−2i2i−2i-222-2-2-2200000000002i−2i2i−2i000000000000000000002-200002i−2i
χ382-22-222-2-2200002i−2i2i−2i-222-2-2-2200000000002i−2i2i−2i00000000000000000000-220000−2i2i
χ392-22-222-2-220000−2i2i−2i2i-222-2-2-220000000000−2i2i−2i2i000000000000000000002-20000−2i2i
χ402-22-222-2-220000−2i2i−2i2i-222-2-2-220000000000−2i2i−2i2i00000000000000000000-2200002i−2i
χ412-2-2-2-222222-2-222-2-22-22-22-22-22-222-2-22-2-222-2-220000000000000000000000000000
χ422-2-2-2-222222-2-22-222-2-22-22-22-2-22-2-2222-2-22-222-20000000000000000000000000000
χ432-2-2-2-22222-222-22-2-22-22-22-22-2-22-2-222-222-22-2-220000000000000000000000000000
χ442-2-2-2-22222-222-2-222-2-22-22-22-22-222-2-2-222-2-222-20000000000000000000000000000
χ452-2-2-2-2222-12-2-222-2-221-11-11-112-2-1-111-111-1-111-100003−33−33−33−30000000000000000
χ462-2-2-2-2222-12-2-222-2-221-11-11-112-2-1-111-111-1-111-10000−33−33−33−330000000000000000
χ472-2-2-2-2222-12-2-22-222-21-11-11-11-2211-1-1-111-11-1-1100003−33−3−33−330000000000000000
χ482-2-2-2-2222-12-2-22-222-21-11-11-11-2211-1-1-111-11-1-110000−33−333−33−30000000000000000
χ492-2-2-2-2222-1-222-22-2-221-11-11-11-2211-1-11-1-11-111-100003−3−333−3−330000000000000000
χ502-2-2-2-2222-1-222-22-2-221-11-11-11-2211-1-11-1-11-111-10000−333−3−333−30000000000000000
χ512-2-2-2-2222-1-222-2-222-21-11-11-112-2-1-1111-1-111-1-1100003−3−33−333−30000000000000000
χ522-2-2-2-2222-1-222-2-222-21-11-11-112-2-1-1111-1-111-1-110000−333−33−3−330000000000000000
χ53444-4-4-44-44000000004-444-4-4-4000000000000000000000000000000000000000000
χ54444-4-4-44-4-200000000-22-2-222200−2i32i3−2i32i3000000000000000000000000000000000000
χ55444-4-4-44-4-200000000-22-2-2222002i3−2i32i3−2i3000000000000000000000000000000000000
χ5644-44-44-4-4-200004i4i−4i−4i-2-222-2220000000000−2i−2i2i2i0000000000000000000000000000
χ5744-44-44-4-4-20000−4i−4i4i4i-2-222-22200000000002i2i−2i−2i0000000000000000000000000000
χ5844-4-44-4-44-244-4-40000-22222-2-2000000-2-22200000000000000000000000000000000
χ5944-4-44-4-44-2-4-4440000-22222-2-200000022-2-200000000000000000000000000000000
χ604-444-4-4-44-24-44-4000022-22-2-22000000-22-2200000000000000000000000000000000
χ614-444-4-4-44-2-44-44000022-22-2-220000002-22-200000000000000000000000000000000
χ624-44-444-4-4-200004i−4i4i−4i2-2-2222-20000000000−2i2i−2i2i0000000000000000000000000000
χ634-44-444-4-4-20000−4i4i−4i4i2-2-2222-200000000002i−2i2i−2i0000000000000000000000000000
χ644-4-444-44-4400000000-4-4-444-44000000000000000000000000000000000000000000
χ654-4-444-44-4-200000000222-2-22-200−2i32i32i3−2i3000000000000000000000000000000000000
χ664-4-444-44-4-200000000222-2-22-2002i3−2i3−2i32i3000000000000000000000000000000000000

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