Finite Group Databasebeta

← Group #75367

Character table — Group #75367

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666644121212121212121212121212444412121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1
χ61111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111-1-1-1-11111
χ71111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ81111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-111-1-111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1-1-111111111-1-1
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-111112-2-22-1-111-1-1110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-11111-222-211-1-111-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-11111-1-10000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-22211-1-1-1-1110000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-1-1-111110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-221111-1-1-1-10000000000000000
χ2522-2-22-2-2222i2i−2i−2i0000-2-2222-2-20000002i2i−2i−2i0000000000000000002i−2i000000002-200
χ2622-2-22-2-2222i2i−2i−2i0000-2-2222-2-20000002i2i−2i−2i000000000000000000−2i2i00000000-2200
χ2722-2-22-2-222−2i−2i2i2i0000-2-2222-2-2000000−2i−2i2i2i0000000000000000002i−2i00000000-2200
χ2822-2-22-2-222−2i−2i2i2i0000-2-2222-2-2000000−2i−2i2i2i000000000000000000−2i2i000000002-200
χ2922-2-2-222-2200002i2i−2i−2i2-22-2-22-2002i2i−2i−2i0000000000000000000000000000002-2002i−2i
χ3022-2-2-222-2200002i2i−2i−2i2-22-2-22-2002i2i−2i−2i000000000000000000000000000000-2200−2i2i
χ3122-2-2-222-220000−2i−2i2i2i2-22-2-22-200−2i−2i2i2i0000000000000000000000000000002-200−2i2i
χ3222-2-2-222-220000−2i−2i2i2i2-22-2-22-200−2i−2i2i2i000000000000000000000000000000-22002i−2i
χ332-22-22-22-222-22-22i−2i2i−2i2-2-22-2-222i−2i2i−2i2i−2i2-22-22i2i−2i−2i0000000000000000000000000000
χ342-22-22-22-222-22-2−2i2i−2i2i2-2-22-2-22−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i0000000000000000000000000000
χ352-22-22-22-22-22-222i−2i2i−2i2-2-22-2-22−2i2i2i−2i2i−2i-22-22−2i−2i2i2i0000000000000000000000000000
χ362-22-22-22-22-22-22−2i2i−2i2i2-2-22-2-222i−2i−2i2i−2i2i-22-222i2i−2i−2i0000000000000000000000000000
χ372-22-22-22-2-12-22-22i−2i2i−2i-111-111-12i−2i−ii−ii-11-11−i−iii00003−3−i3i33−3−i3i30000000000000000
χ382-22-22-22-2-12-22-22i−2i2i−2i-111-111-12i−2i−ii−ii-11-11−i−iii0000−33i3−i3−33i3−i30000000000000000
χ392-22-22-22-2-12-22-2−2i2i−2i2i-111-111-1−2i2ii−ii−i-11-11ii−i−i00003−3i3−i33−3i3−i30000000000000000
χ402-22-22-22-2-12-22-2−2i2i−2i2i-111-111-1−2i2ii−ii−i-11-11ii−i−i0000−33−i3i3−33−i3i30000000000000000
χ412-22-22-22-2-1-22-222i−2i2i−2i-111-111-1−2i2i−ii−ii1-11-1ii−i−i00003−3i3−i3−33−i3i30000000000000000
χ422-22-22-22-2-1-22-222i−2i2i−2i-111-111-1−2i2i−ii−ii1-11-1ii−i−i0000−33−i3i33−3i3−i30000000000000000
χ432-22-22-22-2-1-22-22−2i2i−2i2i-111-111-12i−2ii−ii−i1-11-1−i−iii00003−3−i3i3−33i3−i30000000000000000
χ442-22-22-22-2-1-22-22−2i2i−2i2i-111-111-12i−2ii−ii−i1-11-1−i−iii0000−33i3−i33−3−i3i30000000000000000
χ452-2-2222-2-222i−2i−2i2i0000-22-22-22-20000002i−2i−2i2i00000000000000002-20000002i−2i000000
χ462-2-2222-2-222i−2i−2i2i0000-22-22-22-20000002i−2i−2i2i0000000000000000-22000000−2i2i000000
χ472-2-2222-2-22−2i2i2i−2i0000-22-22-22-2000000−2i2i2i−2i00000000000000002-2000000−2i2i000000
χ482-2-2222-2-22−2i2i2i−2i0000-22-22-22-2000000−2i2i2i−2i0000000000000000-220000002i−2i000000
χ492-2-22-2-222200002-2-2222-2-22-2-2002-2-220000000000000000000000002i−2i2i−2i00000000
χ502-2-22-2-222200002-2-2222-2-22-2-2002-2-22000000000000000000000000−2i2i−2i2i00000000
χ512-2-22-2-22220000-222-222-2-22-2-200-222-20000000000000000000000002i−2i−2i2i00000000
χ522-2-22-2-22220000-222-222-2-22-2-200-222-2000000000000000000000000−2i2i2i−2i00000000
χ534444-4-4-4-4400000000-444-4-4-44000000000000000000000000000000000000000000
χ544444-4-4-4-4-2000000002-2-2222-2000000000023−2323−230000000000000000000000000000
χ554444-4-4-4-4-2000000002-2-2222-20000000000−2323−23230000000000000000000000000000
χ5644-4-44-4-44-24i4i−4i−4i000022-2-2-222000000−2i−2i2i2i00000000000000000000000000000000
χ5744-4-44-4-44-2−4i−4i4i4i000022-2-2-2220000002i2i−2i−2i00000000000000000000000000000000
χ5844-4-4-444-4-200004i4i−4i−4i-22-222-2200−2i−2i2i2i000000000000000000000000000000000000
χ5944-4-4-444-4-20000−4i−4i4i4i-22-222-22002i2i−2i−2i000000000000000000000000000000000000
χ604-44-4-44-44400000000-4-4-4-4444000000000000000000000000000000000000000000
χ614-44-4-44-44-2000000002222-2-2-20000000000−2i32i32i3−2i30000000000000000000000000000
χ624-44-4-44-44-2000000002222-2-2-200000000002i3−2i3−2i32i30000000000000000000000000000
χ634-4-4444-4-4-24i−4i−4i4i00002-22-22-22000000−2i2i2i−2i00000000000000000000000000000000
χ644-4-4444-4-4-2−4i4i4i−4i00002-22-22-220000002i−2i−2i2i00000000000000000000000000000000
χ654-4-44-4-444-200004-4-44-2-222-22200-222-2000000000000000000000000000000000000
χ664-4-44-4-444-20000-444-4-2-222-222002-2-22000000000000000000000000000000000000

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