Finite Group Databasebeta

← Group #76081

Character table — Group #76081

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666644121212121212121212121212444412121212121212124444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111111-1-111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1111111-1-111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-11111-1-111-1-1-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-1-1-111-1-11111
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-12-2-22-1-11111-1-10000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-222-211-1-1-1-1110000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1221111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ252222-2-2-2-2222-2-2000022-22-2-2-20022-2-2000000000000000000002-22-2000000000000
χ262222-2-2-2-2222-2-2000022-22-2-2-20022-2-200000000000000000000-22-22000000000000
χ272222-2-2-2-22-2-222000022-22-2-2-200-2-222000000000000000000002-2-22000000000000
χ282222-2-2-2-22-2-222000022-22-2-2-200-2-22200000000000000000000-222-2000000000000
χ2922-2-222-2-22000022-2-22-2-2-2-222000000000022-2-2000000000000000000002i−2i00002i−2i
χ3022-2-222-2-22000022-2-22-2-2-2-222000000000022-2-200000000000000000000−2i2i0000−2i2i
χ3122-2-222-2-220000-2-2222-2-2-2-2220000000000-2-222000000000000000000002i−2i0000−2i2i
χ3222-2-222-2-220000-2-2222-2-2-2-2220000000000-2-22200000000000000000000−2i2i00002i−2i
χ332-22-22-2-2222i−2i2i−2i2i−2i2i−2i-22-2-222-22-22i−2i2i−2i22-2-22i−2i2i−2i0000000000000000000000000000
χ342-22-22-2-2222i−2i2i−2i−2i2i−2i2i-22-2-222-2-222i−2i2i−2i-2-222−2i2i−2i2i0000000000000000000000000000
χ352-22-22-2-222−2i2i−2i2i2i−2i2i−2i-22-2-222-2-22−2i2i−2i2i-2-2222i−2i2i−2i0000000000000000000000000000
χ362-22-22-2-222−2i2i−2i2i−2i2i−2i2i-22-2-222-22-2−2i2i−2i2i22-2-2−2i2i−2i2i0000000000000000000000000000
χ372-22-22-2-22-12i−2i2i−2i2i−2i2i−2i1-111-1-112-2−ii−ii-1-111−ii−ii0000−i3i3−i3i33−33−30000000000000000
χ382-22-22-2-22-12i−2i2i−2i2i−2i2i−2i1-111-1-112-2−ii−ii-1-111−ii−ii0000i3−i3i3−i3−33−330000000000000000
χ392-22-22-2-22-12i−2i2i−2i−2i2i−2i2i1-111-1-11-22−ii−ii11-1-1i−ii−i0000−i3i3i3−i33−3−330000000000000000
χ402-22-22-2-22-12i−2i2i−2i−2i2i−2i2i1-111-1-11-22−ii−ii11-1-1i−ii−i0000i3−i3−i3i3−333−30000000000000000
χ412-22-22-2-22-1−2i2i−2i2i2i−2i2i−2i1-111-1-11-22i−ii−i11-1-1−ii−ii0000−i3i3i3−i3−333−30000000000000000
χ422-22-22-2-22-1−2i2i−2i2i2i−2i2i−2i1-111-1-11-22i−ii−i11-1-1−ii−ii0000i3−i3−i3i33−3−330000000000000000
χ432-22-22-2-22-1−2i2i−2i2i−2i2i−2i2i1-111-1-112-2i−ii−i-1-111i−ii−i0000−i3i3−i3i3−33−330000000000000000
χ442-22-22-2-22-1−2i2i−2i2i−2i2i−2i2i1-111-1-112-2i−ii−i-1-111i−ii−i0000i3−i3i3−i33−33−30000000000000000
χ452-22-2-222-222i−2i−2i2i0000-222-2-2-22002i−2i−2i2i000000000000000000000000002-200002i−2i00
χ462-22-2-222-222i−2i−2i2i0000-222-2-2-22002i−2i−2i2i00000000000000000000000000-220000−2i2i00
χ472-22-2-222-22−2i2i2i−2i0000-222-2-2-2200−2i2i2i−2i000000000000000000000000002-20000−2i2i00
χ482-22-2-222-22−2i2i2i−2i0000-222-2-2-2200−2i2i2i−2i00000000000000000000000000-2200002i−2i00
χ492-2-222-22-2200002i−2i−2i2i-2-222-22-200000000002i−2i−2i2i00000000000000002-200002i−2i0000
χ502-2-222-22-2200002i−2i−2i2i-2-222-22-200000000002i−2i−2i2i0000000000000000-220000−2i2i0000
χ512-2-222-22-220000−2i2i2i−2i-2-222-22-20000000000−2i2i2i−2i00000000000000002-20000−2i2i0000
χ522-2-222-22-220000−2i2i2i−2i-2-222-22-20000000000−2i2i2i−2i0000000000000000-2200002i−2i0000
χ534444-4-4-4-4-244-4-40000-2-22-222200-2-222000000000000000000000000000000000000
χ544444-4-4-4-4-2-4-4440000-2-22-22220022-2-2000000000000000000000000000000000000
χ5544-4-444-4-4-2000044-4-4-22222-2-20000000000-2-2220000000000000000000000000000
χ5644-4-444-4-4-20000-4-444-22222-2-2000000000022-2-20000000000000000000000000000
χ5744-4-4-4-4444000000004-44-44-4-4000000000000000000000000000000000000000000
χ5844-4-4-4-444-200000000-22-22-222000000−2i32i3−2i32i300000000000000000000000000000000
χ5944-4-4-4-444-200000000-22-22-2220000002i3−2i32i3−2i300000000000000000000000000000000
χ604-44-4-444-4-24i−4i−4i4i00002-2-2222-200−2i2i2i−2i000000000000000000000000000000000000
χ614-44-4-444-4-2−4i4i4i−4i00002-2-2222-2002i−2i−2i2i000000000000000000000000000000000000
χ624-4-444-44-4-200004i−4i−4i4i22-2-22-220000000000−2i2i2i−2i0000000000000000000000000000
χ634-4-444-44-4-20000−4i4i4i−4i22-2-22-2200000000002i−2i−2i2i0000000000000000000000000000
χ644-4-44-44-44400000000-4-4-444-44000000000000000000000000000000000000000000
χ654-4-44-44-44-200000000222-2-22-2000000−2i32i32i3−2i300000000000000000000000000000000
χ664-4-44-44-44-200000000222-2-22-20000002i3−2i3−2i32i300000000000000000000000000000000

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