Finite Group Databasebeta

← Group #74899

Character table — Group #74899

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666622666612121212121212122444661212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ81111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-1-1-1-11111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ13111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1
χ15111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-111112-22-2-1-1-1-111110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-11111-22-221111-1-1-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-12-2-22-1-111-1-1110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-222-211-1-111-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-11111111122-2-2-1-11111-1-10000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-1-1-1-111111111-2-22211-1-1-1-1110000000000000000
χ2522-22-22-2-2200002i2i−2i−2i22-22-2-2-200000000002i2i−2i−2i000000000000002-20000002i−2i0000
χ2622-22-22-2-2200002i2i−2i−2i22-22-2-2-200000000002i2i−2i−2i00000000000000-22000000−2i2i0000
χ2722-22-22-2-220000−2i−2i2i2i22-22-2-2-20000000000−2i−2i2i2i000000000000002-2000000−2i2i0000
χ2822-22-22-2-220000−2i−2i2i2i22-22-2-2-20000000000−2i−2i2i2i00000000000000-220000002i−2i0000
χ2922-2-22-22-222i2i−2i−2i00002-22-22-2-20000002i2i−2i−2i000000000000000000002-20000002i−2i00
χ3022-2-22-22-222i2i−2i−2i00002-22-22-2-20000002i2i−2i−2i00000000000000000000-22000000−2i2i00
χ3122-2-22-22-22−2i−2i2i2i00002-22-22-2-2000000−2i−2i2i2i000000000000000000002-2000000−2i2i00
χ3222-2-22-22-22−2i−2i2i2i00002-22-22-2-2000000−2i−2i2i2i00000000000000000000-220000002i−2i00
χ332-2222-2-2-222i−2i2i−2i2i−2i2i−2i-222-2-22-22-222-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ342-2222-2-2-222i−2i2i−2i−2i2i−2i2i-222-2-22-2-22-2-2222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ352-2222-2-2-22−2i2i−2i2i2i−2i2i−2i-222-2-22-2-22-2-222−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ362-2222-2-2-22−2i2i−2i2i−2i2i−2i2i-222-2-22-22-222-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ372-2222-2-2-2-12i−2i2i−2i2i−2i2i−2i1-1-111-112-2-1-111−ii−ii−ii−ii0000−i3i33−33−3−i3i30000000000000000
χ382-2222-2-2-2-12i−2i2i−2i2i−2i2i−2i1-1-111-112-2-1-111−ii−ii−ii−ii0000i3−i3−33−33i3−i30000000000000000
χ392-2222-2-2-2-12i−2i2i−2i−2i2i−2i2i1-1-111-11-2211-1-1−ii−iii−ii−i0000−i3i33−3−33i3−i30000000000000000
χ402-2222-2-2-2-12i−2i2i−2i−2i2i−2i2i1-1-111-11-2211-1-1−ii−iii−ii−i0000i3−i3−333−3−i3i30000000000000000
χ412-2222-2-2-2-1−2i2i−2i2i2i−2i2i−2i1-1-111-11-2211-1-1i−ii−i−ii−ii0000−i3i3−333−3i3−i30000000000000000
χ422-2222-2-2-2-1−2i2i−2i2i2i−2i2i−2i1-1-111-11-2211-1-1i−ii−i−ii−ii0000i3−i33−3−33−i3i30000000000000000
χ432-2222-2-2-2-1−2i2i−2i2i−2i2i−2i2i1-1-111-112-2-1-111i−ii−ii−ii−i0000−i3i3−33−33−i3i30000000000000000
χ442-2222-2-2-2-1−2i2i−2i2i−2i2i−2i2i1-1-111-112-2-1-111i−ii−ii−ii−i0000i3−i33−33−3i3−i30000000000000000
χ452-2-22-2-222200002-2-22-22-2-22-2200000000002-2-220000000000000000002-20000002-2
χ462-2-22-2-222200002-2-22-22-2-22-2200000000002-2-22000000000000000000-22000000-22
χ472-2-22-2-22220000-222-2-22-2-22-220000000000-222-20000000000000000002-2000000-22
χ482-2-22-2-22220000-222-2-22-2-22-220000000000-222-2000000000000000000-220000002-2
χ492-2-2-222-2222-2-220000-2-222-2-220000002-2-2200000000000000002-20000002-2000000
χ502-2-2-222-2222-2-220000-2-222-2-220000002-2-220000000000000000-22000000-22000000
χ512-2-2-222-222-222-20000-2-222-2-22000000-222-200000000000000002-2000000-22000000
χ522-2-2-222-222-222-20000-2-222-2-22000000-222-20000000000000000-220000002-2000000
χ53444-4-4-4-444000000004-4-4-4-444000000000000000000000000000000000000000000
χ54444-4-4-4-44-200000000-22222-2-200−2i32i3−2i32i3000000000000000000000000000000000000
χ55444-4-4-4-44-200000000-22222-2-2002i3−2i32i3−2i3000000000000000000000000000000000000
χ5644-44-44-4-4-200004i4i−4i−4i-2-22-22220000000000−2i−2i2i2i0000000000000000000000000000
χ5744-44-44-4-4-20000−4i−4i4i4i-2-22-222200000000002i2i−2i−2i0000000000000000000000000000
χ5844-4-44-44-4-24i4i−4i−4i0000-22-22-222000000−2i−2i2i2i00000000000000000000000000000000
χ5944-4-44-44-4-2−4i−4i4i4i0000-22-22-2220000002i2i−2i−2i00000000000000000000000000000000
χ604-44-4-444-4400000000-4-4-4444-4000000000000000000000000000000000000000000
χ614-44-4-444-4-200000000222-2-2-2200−2i32i32i3−2i3000000000000000000000000000000000000
χ624-44-4-444-4-200000000222-2-2-22002i3−2i3−2i32i3000000000000000000000000000000000000
χ634-4-44-4-444-200004-4-442-222-22-20000000000-222-20000000000000000000000000000
χ644-4-44-4-444-20000-444-42-222-22-200000000002-2-220000000000000000000000000000
χ654-4-4-444-44-24-4-44000022-2-222-2000000-222-200000000000000000000000000000000
χ664-4-4-444-44-2-444-4000022-2-222-20000002-2-2200000000000000000000000000000000

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