Finite Group Databasebeta

← Group #82591

Character table — Group #82591

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order122222222222366666662222444466666666666644442466121212121212444444444424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1
χ911111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1-111-1-1-11
χ1011111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1111-1
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-111-1-11-1
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-111-11
χ1311111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-11111-1-1-1-1-1-1111-1
χ1411111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111111-1-1-11
χ1511111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-1-1-111-11
χ1611111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11111-1-11-1
χ17222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ18222222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ19222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1111111110000-2-211-1-1-1-111000000000000
χ20222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000022-1-11111-1-1000000000000
χ2122222222-2-2-2-2-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-1111100002-2-1-1-1-11111000000000000
χ2222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111110000-221111-1-1-1-1000000000000
χ2322222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-10000-2211-1-111-1-1000000000000
χ2422222222-2-2-2-2-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-100002-2-1-111-1-111000000000000
χ25222-22-2-2-20000222-2-22-2-2002-200000000000022-2-22i2i−2i−2i0000000000000000002i−2i00
χ26222-22-2-2-20000222-2-22-2-2002-200000000000022-2-2−2i−2i2i2i000000000000000000−2i2i00
χ27222-22-2-2-20000222-2-22-2-200-22000000000000-2-2222i2i−2i−2i000000000000000000−2i2i00
χ28222-22-2-2-20000222-2-22-2-200-22000000000000-2-222−2i−2i2i2i0000000000000000002i−2i00
χ2922-22-22-2-2000022-22-2-22-22-2000000000022-2-200002i−2i2i−2i00000000000000002i−2i0000
χ3022-22-22-2-2000022-22-2-22-22-2000000000022-2-20000−2i2i−2i2i0000000000000000−2i2i0000
χ3122-22-22-2-2000022-22-2-22-2-220000000000-2-22200002i−2i2i−2i0000000000000000−2i2i0000
χ3222-22-22-2-2000022-22-2-22-2-220000000000-2-2220000−2i2i−2i2i00000000000000002i−2i0000
χ3322-2-2-2-22222-2-222-2-22-2-220000000022-2-2000000002-2-22000000000000002-2000000
χ3422-2-2-2-22222-2-222-2-22-2-220000000022-2-200000000-222-200000000000000-22000000
χ3522-2-2-2-222-2-22222-2-22-2-2200000000-2-222000000002-2-2200000000000000-22000000
χ3622-2-2-2-222-2-22222-2-22-2-2200000000-2-22200000000-222-2000000000000002-2000000
χ372-222-2-2-222-22-22-2-2-2-222200002-22-22-22-200000000000000002-22-200000000000000
χ382-222-2-2-222-22-22-2-2-2-22220000-22-222-22-20000000000000000-22-2200000000000000
χ392-222-2-2-222-22-2-11111-1-1-100002-22-2-11-11−i3i3−i3i3−i3i3−i3i3000000−i3i3-11-11−i3i3000000000000
χ402-222-2-2-222-22-2-11111-1-1-100002-22-2-11-11i3−i3i3−i3i3−i3i3−i3000000i3−i3-11-11i3−i3000000000000
χ412-222-2-2-222-22-2-11111-1-1-10000-22-22-11-11−i3i3−i3i3−i3i3−i3i3000000i3−i31-11-1i3−i3000000000000
χ422-222-2-2-222-22-2-11111-1-1-10000-22-22-11-11i3−i3i3−i3i3−i3i3−i3000000−i3i31-11-1−i3i3000000000000
χ432-222-2-2-22-22-222-2-2-2-222200002-2-22-22-2200000000000000002-2-2200000000000000
χ442-222-2-2-22-22-222-2-2-2-22220000-222-2-22-220000000000000000-222-200000000000000
χ452-222-2-2-22-22-22-11111-1-1-100002-2-221-11-1−i3i3−i3i3i3−i3i3−i3000000−i3i3-111-1i3−i3000000000000
χ462-222-2-2-22-22-22-11111-1-1-100002-2-221-11-1i3−i3i3−i3−i3i3−i3i3000000i3−i3-111-1−i3i3000000000000
χ472-222-2-2-22-22-22-11111-1-1-10000-222-21-11-1−i3i3−i3i3i3−i3i3−i3000000i3−i31-1-11−i3i3000000000000
χ482-222-2-2-22-22-22-11111-1-1-10000-222-21-11-1i3−i3i3−i3−i3i3−i3i3000000−i3i31-1-11i3−i3000000000000
χ492-2-2-222-222-2-222-222-2-2-22000000002-2-2200000000000000000000002-22-200000000
χ502-2-2-222-222-2-222-222-2-2-22000000002-2-220000000000000000000000-22-2200000000
χ512-2-2-222-22-222-22-222-2-2-2200000000-222-200000000000000000000002-2-2200000000
χ522-2-2-222-22-222-22-222-2-2-2200000000-222-20000000000000000000000-222-200000000
χ53444-44-4-4-40000-2-2-222-222004-4000000000000-2-22200000000000000000000000000
χ54444-44-4-4-40000-2-2-222-22200-4400000000000022-2-200000000000000000000000000
χ5544-44-44-4-40000-2-22-222-224-40000000000-2-222000000000000000000000000000000
χ5644-44-44-4-40000-2-22-222-22-44000000000022-2-2000000000000000000000000000000
χ5744-4-4-4-44444-4-4-2-222-222-200000000-2-2220000000000000000000000000000000000
χ5844-4-4-4-444-4-444-2-222-222-20000000022-2-20000000000000000000000000000000000
χ594-44-4-444-400004-4-4444-4-40000000000000000000000000000000000000000000000
χ604-44-4-444-40000-222-2-2-2220000000000000000−2i32i32i3−2i300000000000000000000000000
χ614-44-4-444-40000-222-2-2-22200000000000000002i3−2i3−2i32i300000000000000000000000000
χ624-4-444-44-400004-44-44-44-40000000000000000000000000000000000000000000000
χ634-4-444-44-40000-22-22-22-22000000000000−2i32i32i3−2i3000000000000000000000000000000
χ644-4-444-44-40000-22-22-22-220000000000002i3−2i3−2i32i3000000000000000000000000000000
χ654-4-4-444-444-4-44-22-2-2222-200000000-222-20000000000000000000000000000000000
χ664-4-4-444-44-444-4-22-2-2222-2000000002-2-220000000000000000000000000000000000

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