Finite Group Databasebeta

← Group #78436

Character table — Group #78436

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11111111222222224444448888888888888888881212121212121212121212122424
order12222222366666664444444444121212121212121212121212121222444444444444
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11
χ411111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ5111111111111111111-1-111-11-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ6111111111111111111-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ7111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ8111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ91111111111111111-1-11111-1-11-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-11
χ101111111111111111-1-11111-1-11-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111-1
χ111111111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ121111111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1
χ131111111111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ141111111111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11-1
χ161111111111111111-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-11
χ1722222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ1822222222-1-1-1-1-1-1-1-12222-2-2-2-2-22-1-1-1-1-1-11111111100000000000000
χ1922222222-1-1-1-1-1-1-1-122-2-222-22-2-2-1-11111-1-1-1-1111100000000000000
χ2022222222-1-1-1-1-1-1-1-122-2-2-2-22-22-2-1-111111111-1-1-1-100000000000000
χ2122222222-1-1-1-1-1-1-1-1-2-22222-2-22-211-1-111-1-111-1-11100000000000000
χ2222222222-1-1-1-1-1-1-1-1-2-222-2-222-2-211-1-11111-1-111-1-100000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2-2-2222-2-221111-1-1-1-11111-1-100000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-22221111-1-111-1-1-1-11100000000000000
χ25222-2-2-2-222222-2-2-2-22i−2i000000002i−2i0000000000002-2002i−2i00000000
χ26222-2-2-2-222222-2-2-2-22i−2i000000002i−2i000000000000-2200−2i2i00000000
χ27222-2-2-2-222222-2-2-2-2−2i2i00000000−2i2i0000000000002-200−2i2i00000000
χ28222-2-2-2-222222-2-2-2-2−2i2i00000000−2i2i000000000000-22002i−2i00000000
χ2922-2-22-22-222-2-222-2-200002i−2i00000000002i−2i000000002-20000002i−2i00
χ3022-2-22-22-222-2-222-2-200002i−2i00000000002i−2i00000000-22000000−2i2i00
χ3122-2-22-22-222-2-222-2-20000−2i2i0000000000−2i2i000000002-2000000−2i2i00
χ3222-2-22-22-222-2-222-2-20000−2i2i0000000000−2i2i00000000-220000002i−2i00
χ332-22-2-222-22-22-22-22-2002i−2i000000002i−2i00000000000000002-22i−2i0000
χ342-22-2-222-22-22-22-22-2002i−2i000000002i−2i0000000000000000-22−2i2i0000
χ352-22-2-222-22-22-22-22-200−2i2i00000000−2i2i00000000000000002-2−2i2i0000
χ362-22-2-222-22-22-22-22-200−2i2i00000000−2i2i0000000000000000-222i−2i0000
χ37444-4-4-4-44-2-2-2-222224i−4i00000000−2i2i00000000000000000000000000
χ38444-4-4-4-44-2-2-2-22222−4i4i000000002i−2i00000000000000000000000000
χ3944-44-44-4-444-4-4-4-44400000000000000000000000000000000000000
χ4044-44-44-4-4-2-22222-2-200000000000000000023−23000000000000000000
χ4144-44-44-4-4-2-22222-2-2000000000000000000−2323000000000000000000
χ4244-4-44-44-4-2-222-2-22200004i−4i0000000000−2i2i00000000000000000000
χ4344-4-44-44-4-2-222-2-2220000−4i4i00000000002i−2i00000000000000000000
χ444-4444-4-4-44-44-4-44-4400000000000000000000000000000000000000
χ454-4444-4-4-4-22-222-22-20000000000000023−230000000000000000000000
χ464-4444-4-4-4-22-222-22-200000000000000−23230000000000000000000000
χ474-44-4-444-4-22-22-22-22004i−4i00000000−2i2i000000000000000000000000
χ484-44-4-444-4-22-22-22-2200−4i4i000000002i−2i000000000000000000000000
χ494-4-44-4-4444-4-444-4-4400000000000000000000000000000000000000
χ504-4-44-4-444-222-2-222-20000000000000000000023−230000000000000000
χ514-4-44-4-444-222-2-222-200000000000000000000−23230000000000000000
χ524-4-4-444-444-4-44-444-400000000000000000000000000000000000000
χ534-4-4-444-44-222-22-2-22000000000000000000000023−2300000000000000
χ544-4-4-444-44-222-22-2-220000000000000000000000−232300000000000000

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