Finite Group Databasebeta

← Group #79810

Character table — Group #79810

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order1222344444466644441212121212124444246688121212121212242424242224444488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-1-11-1-1-1-111
χ711111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-111-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-11111-1-1
χ911111-1-1-1-11111111-1-1-1-1-1-11111-1-11-1111-1-1-111-1-111-1-1-1111-1-11-11-1
χ1011111-1-1-1-11111111-1-1-1-1-1-11111-1-1-11-1-1-11-1-11111-1-111-1111-1-1-11-11
χ1111111-1-1-1-11111111-1-1-1-1-1-111-1-1111-1111-1-1-111-1-111-1-11-1-1-111-11-11
χ1211111-1-1-1-11111111-1-1-1-1-1-111-1-111-11-1-1-11-1-11111-1-1111-1-1-1111-11-1
χ1311111-1-1-1-111111-1-111-1-1-1-11111-1-11-111-1111-1-1-1-1-1-111-1-1-11111-1-11
χ1411111-1-1-1-111111-1-111-1-1-1-11111-1-1-11-1-11-111-1-11111-1-1-1-1-1111-111-1
χ1511111-1-1-1-111111-1-111-1-1-1-111-1-1111-111-1111-1-1-1-1-1-111111-1-1-1-111-1
χ1611111-1-1-1-111111-1-111-1-1-1-111-1-111-11-1-11-111-1-11111-1-1111-1-1-11-1-11
χ172222222-2-2-2-22220000-2-222-2-222-2-20000000000000000200-2000000
χ182222222-2-2-2-22220000-2-222-2-2-2-2220000000000000000-2002000000
χ1922222-2-222-2-2222000022-2-2-2-222220000000000000000-200-2000000
χ2022222-2-222-2-2222000022-2-2-2-2-2-2-2-200000000000000002002000000
χ212222-1222222-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-10000000000
χ222222-1222222-1-1-12222-1-1-1-1-1-10000-2-211-2-2-1-1-1-11111110000000000
χ232222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1000022-1-1-2-21111-1-111110000000000
χ242222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-10000-2-21122111111-1-1-1-10000000000
χ252222-1-2-2-2-222-1-1-122-2-21111-1-100002-2-1-12-211-1-111-1-1110000000000
χ262222-1-2-2-2-222-1-1-122-2-21111-1-10000-2211-2211-1-1-1-111-1-10000000000
χ272222-1-2-2-2-222-1-1-1-2-2221111-1-100002-2-1-1-22-1-1111111-1-10000000000
χ282222-1-2-2-2-222-1-1-1-2-2221111-1-10000-22112-2-1-111-1-1-1-1110000000000
χ292-22-222i−2i2i−2i2-2-22-200002i−2i2i−2i2-20000000000000000000002-202i−2i0000
χ302-22-222i−2i2i−2i2-2-22-200002i−2i2i−2i2-2000000000000000000000-220−2i2i0000
χ312-22-222i−2i−2i2i-22-22-22i−2i2-2−2i2i2i−2i-2200000000002-22i−2i0000000000000000
χ322-22-222i−2i−2i2i-22-22-2−2i2i-22−2i2i2i−2i-220000000000-22−2i2i0000000000000000
χ332-22-22−2i2i2i−2i-22-22-22i−2i-222i−2i−2i2i-220000000000-222i−2i0000000000000000
χ342-22-22−2i2i2i−2i-22-22-2−2i2i2-22i−2i−2i2i-2200000000002-2−2i2i0000000000000000
χ352-22-22−2i2i−2i2i2-2-22-20000−2i2i−2i2i2-20000000000000000000002-20−2i2i0000
χ362-22-22−2i2i−2i2i2-2-22-20000−2i2i−2i2i2-2000000000000000000000-2202i−2i0000
χ372-22-2-12i−2i−2i2i-221-112i−2i2-2i−i−ii1-1000000−i3i300-11−ii3−33−3−i3i30000000000
χ382-22-2-12i−2i−2i2i-221-112i−2i2-2i−i−ii1-1000000i3−i300-11−ii−33−33i3−i30000000000
χ392-22-2-12i−2i−2i2i-221-11−2i2i-22i−i−ii1-1000000−i3i3001-1i−i3−3−33i3−i30000000000
χ402-22-2-12i−2i−2i2i-221-11−2i2i-22i−i−ii1-1000000i3−i3001-1i−i−333−3−i3i30000000000
χ412-22-2-1−2i2i2i−2i-221-112i−2i-22−iii−i1-1000000−i3i3001-1−ii−333−3i3−i30000000000
χ422-22-2-1−2i2i2i−2i-221-112i−2i-22−iii−i1-1000000i3−i3001-1−ii3−3−33−i3i30000000000
χ432-22-2-1−2i2i2i−2i-221-11−2i2i2-2−iii−i1-1000000−i3i300-11i−i−33−33−i3i30000000000
χ442-22-2-1−2i2i2i−2i-221-11−2i2i2-2−iii−i1-1000000i3−i300-11i−i3−33−3i3−i30000000000
χ454444-244-4-4-4-4-2-2-2000022-2-222000000000000000000000000000000
χ464444-2-4-444-4-4-2-2-20000-2-22222000000000000000000000000000000
χ4744-4-44000000-4-440000000000004i−4i00000000000000000000000000
χ4844-4-44000000-4-44000000000000−4i4i00000000000000000000000000
χ494-44-4-24i−4i4i−4i4-42-220000−2i2i−2i2i-22000000000000000000000000000000
χ504-44-4-2−4i4i−4i4i4-42-2200002i−2i2i−2i-22000000000000000000000000000000
χ514-4-4440000004-4-400000000004i−4i0000000000000000000000000000
χ524-4-4440000004-4-40000000000−4i4i0000000000000000000000000000
χ5388-8-8-400000044-40000000000000000000000000000000000000000
χ548-8-88-4000000-4440000000000000000000000000000000000000000

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