Finite Group Databasebeta

← Group #83000

Character table — Group #83000

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666664412121212121212121212121222446666121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1111111-1-1-1-111-1-1-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-1-1-1-1-11111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-1111111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-111-1-111-1-1-1-111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111
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
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-111112-2-22-1-11111-1-10000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-222-211-1-1-1-1110000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-122-2-2-1-1-1-111110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-2-2221111-1-1-1-10000000000000000
χ25222-2-22-2-2200002i2i−2i−2i22-2-22-2-20000002i2i−2i−2i000000000000000000000000002-22i−2i00
χ26222-2-22-2-2200002i2i−2i−2i22-2-22-2-20000002i2i−2i−2i00000000000000000000000000-22−2i2i00
χ27222-2-22-2-220000−2i−2i2i2i22-2-22-2-2000000−2i−2i2i2i000000000000000000000000002-2−2i2i00
χ28222-2-22-2-220000−2i−2i2i2i22-2-22-2-2000000−2i−2i2i2i00000000000000000000000000-222i−2i00
χ2922-22-2-22-222i2i−2i−2i00002-22-2-22-2002i2i−2i−2i000000000000000000000000002i−2i2-2000000
χ3022-22-2-22-222i2i−2i−2i00002-22-2-22-2002i2i−2i−2i00000000000000000000000000−2i2i-22000000
χ3122-22-2-22-22−2i−2i2i2i00002-22-2-22-200−2i−2i2i2i000000000000000000000000002i−2i-22000000
χ3222-22-2-22-22−2i−2i2i2i00002-22-2-22-200−2i−2i2i2i00000000000000000000000000−2i2i2-2000000
χ332-22-22-22-222i−2i2i−2i0000-22-22-22-2002i−2i2i−2i00000000000000000000002-22i−2i0000000000
χ342-22-22-22-222i−2i2i−2i0000-22-22-22-2002i−2i2i−2i0000000000000000000000-22−2i2i0000000000
χ352-22-22-22-22−2i2i−2i2i0000-22-22-22-200−2i2i−2i2i00000000000000000000002-2−2i2i0000000000
χ362-22-22-22-22−2i2i−2i2i0000-22-22-22-200−2i2i−2i2i0000000000000000000000-222i−2i0000000000
χ372-2-2222-2-2200002i−2i2i−2i-2-2222-2-20000002i−2i2i−2i00000000000000002-20000000000002i−2i
χ382-2-2222-2-2200002i−2i2i−2i-2-2222-2-20000002i−2i2i−2i0000000000000000-22000000000000−2i2i
χ392-2-2222-2-220000−2i2i−2i2i-2-2222-2-2000000−2i2i−2i2i00000000000000002-2000000000000−2i2i
χ402-2-2222-2-220000−2i2i−2i2i-2-2222-2-2000000−2i2i−2i2i0000000000000000-220000000000002i−2i
χ412-2-2-2-222222-2-222-2-22-2-2-2-22222-22-2-222-2-2222-2-20000000000000000000000000000
χ422-2-2-2-222222-2-22-222-2-2-2-2-2222-222-2-22-222-2-2-2220000000000000000000000000000
χ432-2-2-2-22222-222-22-2-22-2-2-2-2222-22-222-22-2-22-2-2220000000000000000000000000000
χ442-2-2-2-22222-222-2-222-2-2-2-2-22222-2-222-2-222-222-2-20000000000000000000000000000
χ452-2-2-2-2222-12-2-222-2-221111-1-1-12-2-111-1-111-1-1-1110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ462-2-2-2-2222-12-2-222-2-221111-1-1-12-2-111-1-111-1-1-1110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ472-2-2-2-2222-12-2-22-222-21111-1-1-1-22-111-11-1-1111-1-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ482-2-2-2-2222-12-2-22-222-21111-1-1-1-22-111-11-1-1111-1-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ492-2-2-2-2222-1-222-22-2-221111-1-1-1-221-1-11-111-111-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ502-2-2-2-2222-1-222-22-2-221111-1-1-1-221-1-11-111-111-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ512-2-2-2-2222-1-222-2-222-21111-1-1-12-21-1-111-1-11-1-1110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ522-2-2-2-2222-1-222-2-222-21111-1-1-12-21-1-111-1-11-1-1110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ53444-4-44-4-4-200004i4i−4i−4i-2-222-222000000−2i−2i2i2i00000000000000000000000000000000
χ54444-4-44-4-4-20000−4i−4i4i4i-2-222-2220000002i2i−2i−2i00000000000000000000000000000000
χ5544-44-4-44-4-24i4i−4i−4i0000-22-222-2200−2i−2i2i2i000000000000000000000000000000000000
χ5644-44-4-44-4-2−4i−4i4i4i0000-22-222-22002i2i−2i−2i000000000000000000000000000000000000
χ5744-4-44-4-444000000004-4-44-4-44000000000000000000000000000000000000000000
χ5844-4-44-4-44-200000000-222-222-20000000000−2i32i3−2i32i30000000000000000000000000000
χ5944-4-44-4-44-200000000-222-222-200000000002i3−2i32i3−2i30000000000000000000000000000
χ604-444-4-4-44400000000-444-4-4-44000000000000000000000000000000000000000000
χ614-444-4-4-44-2000000002-2-2222-20000000000−2i32i32i3−2i30000000000000000000000000000
χ624-444-4-4-44-2000000002-2-2222-200000000002i3−2i3−2i32i30000000000000000000000000000
χ634-44-44-44-4-24i−4i4i−4i00002-22-22-2200−2i2i−2i2i000000000000000000000000000000000000
χ644-44-44-44-4-2−4i4i−4i4i00002-22-22-22002i−2i2i−2i000000000000000000000000000000000000
χ654-4-4444-4-4-200004i−4i4i−4i22-2-2-222000000−2i2i−2i2i00000000000000000000000000000000
χ664-4-4444-4-4-20000−4i4i−4i4i22-2-2-2220000002i−2i2i−2i00000000000000000000000000000000

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