Finite Group Databasebeta

← Group #75331

Character table — Group #75331

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order12222222344444444666666644121212121212121212121212444412121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1-1-111
χ61111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-1
χ71111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111111111-1-1-1-111-1-1-1-1
χ81111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-11111-1-11111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ13111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ15111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
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
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-111112-22-2-1-111-1-1110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-21111-1-1-1-11111-22-2211-1-111-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-122-2-2-1-1-1-111110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-211111111-1-1-1-1-2-2221111-1-1-1-10000000000000000
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
χ25222-2-2-2-2222i2i−2i−2i00002-22-2-22-20000002i2i−2i−2i00000000000000002-2002i−2i0000000000
χ26222-2-2-2-2222i2i−2i−2i00002-22-2-22-20000002i2i−2i−2i0000000000000000-2200−2i2i0000000000
χ27222-2-2-2-222−2i−2i2i2i00002-22-2-22-2000000−2i−2i2i2i00000000000000002-200−2i2i0000000000
χ28222-2-2-2-222−2i−2i2i2i00002-22-2-22-2000000−2i−2i2i2i0000000000000000-22002i−2i0000000000
χ2922-2-22-22-2200002i2i−2i−2i2-2-22-2-2200000000002i2i−2i−2i00000000000000000000002-2002i−2i
χ3022-2-22-22-2200002i2i−2i−2i2-2-22-2-2200000000002i2i−2i−2i0000000000000000000000-2200−2i2i
χ3122-2-22-22-220000−2i−2i2i2i2-2-22-2-220000000000−2i−2i2i2i00000000000000000000002-200−2i2i
χ3222-2-22-22-220000−2i−2i2i2i2-2-22-2-220000000000−2i−2i2i2i0000000000000000000000-22002i−2i
χ332-222-2-22-222-22-22i−2i2i−2i-222-2-2-222i−2i2i2i−2i−2i2-22-22i−2i2i−2i0000000000000000000000000000
χ342-222-2-22-222-22-2−2i2i−2i2i-222-2-2-22−2i2i−2i−2i2i2i2-22-2−2i2i−2i2i0000000000000000000000000000
χ352-222-2-22-22-22-222i−2i2i−2i-222-2-2-22−2i2i−2i−2i2i2i-22-222i−2i2i−2i0000000000000000000000000000
χ362-222-2-22-22-22-22−2i2i−2i2i-222-2-2-222i−2i2i2i−2i−2i-22-22−2i2i−2i2i0000000000000000000000000000
χ372-222-2-22-2-12-22-22i−2i2i−2i1-1-1111-12i−2i−i−iii-11-11−ii−ii0000−i3i33−3−i3i33−30000000000000000
χ382-222-2-22-2-12-22-22i−2i2i−2i1-1-1111-12i−2i−i−iii-11-11−ii−ii0000i3−i3−33i3−i3−330000000000000000
χ392-222-2-22-2-12-22-2−2i2i−2i2i1-1-1111-1−2i2iii−i−i-11-11i−ii−i0000−i3i3−33−i3i3−330000000000000000
χ402-222-2-22-2-12-22-2−2i2i−2i2i1-1-1111-1−2i2iii−i−i-11-11i−ii−i0000i3−i33−3i3−i33−30000000000000000
χ412-222-2-22-2-1-22-222i−2i2i−2i1-1-1111-1−2i2iii−i−i1-11-1−ii−ii0000−i3i33−3i3−i3−330000000000000000
χ422-222-2-22-2-1-22-222i−2i2i−2i1-1-1111-1−2i2iii−i−i1-11-1−ii−ii0000i3−i3−33−i3i33−30000000000000000
χ432-222-2-22-2-1-22-22−2i2i−2i2i1-1-1111-12i−2i−i−iii1-11-1i−ii−i0000−i3i3−33i3−i33−30000000000000000
χ442-222-2-22-2-1-22-22−2i2i−2i2i1-1-1111-12i−2i−i−iii1-11-1i−ii−i0000i3−i33−3−i3i3−330000000000000000
χ452-22-222-2-222i−2i−2i2i0000-2-2222-2-20000002i−2i−2i2i00000000000000000000002-200002i−2i00
χ462-22-222-2-222i−2i−2i2i0000-2-2222-2-20000002i−2i−2i2i0000000000000000000000-220000−2i2i00
χ472-22-222-2-22−2i2i2i−2i0000-2-2222-2-2000000−2i2i2i−2i00000000000000000000002-20000−2i2i00
χ482-22-222-2-22−2i2i2i−2i0000-2-2222-2-2000000−2i2i2i−2i0000000000000000000000-2200002i−2i00
χ492-2-2-2-2222200002-2-22-2-2-2-222200000000002-2-22000000000000002-200002-2000000
χ502-2-2-2-2222200002-2-22-2-2-2-222200000000002-2-2200000000000000-220000-22000000
χ512-2-2-2-222220000-222-2-2-2-2-22220000000000-222-2000000000000002-20000-22000000
χ522-2-2-2-222220000-222-2-2-2-2-22220000000000-222-200000000000000-2200002-2000000
χ53444-4-4-4-44-24i4i−4i−4i0000-22-222-22000000−2i−2i2i2i00000000000000000000000000000000
χ54444-4-4-4-44-2−4i−4i4i4i0000-22-222-220000002i2i−2i−2i00000000000000000000000000000000
χ5544-44-44-4-440000000044-4-44-4-4000000000000000000000000000000000000000000
χ5644-44-44-4-4-200000000-2-222-22200−2i32i3−2i32i3000000000000000000000000000000000000
χ5744-44-44-4-4-200000000-2-222-222002i3−2i32i3−2i3000000000000000000000000000000000000
χ5844-4-44-44-4-200004i4i−4i−4i-222-222-20000000000−2i−2i2i2i0000000000000000000000000000
χ5944-4-44-44-4-20000−4i−4i4i4i-222-222-200000000002i2i−2i−2i0000000000000000000000000000
χ604-44-444-4-4-24i−4i−4i4i000022-2-2-222000000−2i2i2i−2i00000000000000000000000000000000
χ614-44-444-4-4-2−4i4i4i−4i000022-2-2-2220000002i−2i−2i2i00000000000000000000000000000000
χ624-4-444-4-44400000000-44-44-44-4000000000000000000000000000000000000000000
χ634-4-444-4-44-2000000002-22-22-220023−23−2323000000000000000000000000000000000000
χ644-4-444-4-44-2000000002-22-22-2200−232323−23000000000000000000000000000000000000
χ654-4-4-4-4444-200004-4-442222-2-2-20000000000-222-20000000000000000000000000000
χ664-4-4-4-4444-20000-444-42222-2-2-200000000002-2-220000000000000000000000000000

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