Finite Group Databasebeta

← Group #74745

Character table — Group #74745

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111111112222222222224444444444444444444466668888888888121212121212121212122424
order12222222222236666666444444446666121212121212121244442466121212121212444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
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
χ911111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-11111-1-1-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-1111111-1-11-1
χ1311111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-111-1-111-1-1-11
χ1411111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ1511111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1-1-1-1111-1
χ1611111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11111-1-1-11
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
χ18222222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000-2-211-1-1-1-111000000000000
χ19222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
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
χ2222222222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-22211111111-1-1-1-10000-2211-1-111-1-1000000000000
χ2322222222-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-111110000-221111-1-1-1-1000000000000
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
χ25222-2-22-2-222-2-222-2-22-2-220000000022-2-2000000002i2i−2i−2i000000000000002i−2i000000
χ26222-2-22-2-222-2-222-2-22-2-220000000022-2-200000000−2i−2i2i2i00000000000000−2i2i000000
χ27222-2-22-2-2-2-22222-2-22-2-2200000000-2-222000000002i2i−2i−2i00000000000000−2i2i000000
χ28222-2-22-2-2-2-22222-2-22-2-2200000000-2-22200000000−2i−2i2i2i000000000000002i−2i000000
χ2922-222-2-2-22-22-22-2-2-2222-2000000002-22-200000000000000000000002i−2i2i−2i00000000
χ3022-222-2-2-22-22-22-2-2-2222-2000000002-22-20000000000000000000000−2i2i−2i2i00000000
χ3122-222-2-2-2-22-222-2-2-2222-200000000-22-2200000000000000000000002i−2i−2i2i00000000
χ3222-222-2-2-2-22-222-2-2-2222-200000000-22-220000000000000000000000−2i2i2i−2i00000000
χ3322-2-2-2-2222-2-222-2222-2-2-22i−2i2i−2i00002-2-2200000000000000002i−2i2i−2i00000000000000
χ3422-2-2-2-2222-2-222-2222-2-2-2−2i2i−2i2i00002-2-220000000000000000−2i2i−2i2i00000000000000
χ3522-2-2-2-2222-2-22-11-1-1-11112i−2i2i−2i0000-111-133−3−333−3−3000000−i3i3−ii−ii−i3i3000000000000
χ3622-2-2-2-2222-2-22-11-1-1-11112i−2i2i−2i0000-111-1−3−333−3−333000000i3−i3−ii−iii3−i3000000000000
χ3722-2-2-2-2222-2-22-11-1-1-1111−2i2i−2i2i0000-111-133−3−333−3−3000000i3−i3i−ii−ii3−i3000000000000
χ3822-2-2-2-2222-2-22-11-1-1-1111−2i2i−2i2i0000-111-1−3−333−3−333000000−i3i3i−ii−i−i3i3000000000000
χ3922-2-2-2-222-222-22-2222-2-2-22i−2i−2i2i0000-222-200000000000000002i−2i−2i2i00000000000000
χ4022-2-2-2-222-222-22-2222-2-2-2−2i2i2i−2i0000-222-20000000000000000−2i2i2i−2i00000000000000
χ4122-2-2-2-222-222-2-11-1-1-11112i−2i−2i2i00001-1-1133−3−3−3−333000000−i3i3−iii−ii3−i3000000000000
χ4222-2-2-2-222-222-2-11-1-1-11112i−2i−2i2i00001-1-11−3−33333−3−3000000i3−i3−iii−i−i3i3000000000000
χ4322-2-2-2-222-222-2-11-1-1-1111−2i2i2i−2i00001-1-1133−3−3−3−333000000i3−i3i−i−ii−i3i3000000000000
χ4422-2-2-2-222-222-2-11-1-1-1111−2i2i2i−2i00001-1-11−3−33333−3−3000000−i3i3i−i−iii3−i3000000000000
χ452-222-2-22-20000222-2-22-2-20000002i−2i000000002i−2i2i−2i2-22-20000000000000000002i−2i00
χ462-222-2-22-20000222-2-22-2-20000002i−2i000000002i−2i2i−2i-22-22000000000000000000−2i2i00
χ472-222-2-22-20000222-2-22-2-2000000−2i2i00000000−2i2i−2i2i2-22-2000000000000000000−2i2i00
χ482-222-2-22-20000222-2-22-2-2000000−2i2i00000000−2i2i−2i2i-22-220000000000000000002i−2i00
χ492-22-22-2-22000022-22-2-22-200002i−2i0000002i−2i2i−2i00002i−2i−2i2i00000000000000002-20000
χ502-22-22-2-22000022-22-2-22-200002i−2i0000002i−2i2i−2i0000−2i2i2i−2i0000000000000000-220000
χ512-22-22-2-22000022-22-2-22-20000−2i2i000000−2i2i−2i2i00002i−2i−2i2i0000000000000000-220000
χ522-22-22-2-22000022-22-2-22-20000−2i2i000000−2i2i−2i2i0000−2i2i2i−2i00000000000000002-20000
χ53444-4-44-4-444-4-4-2-222-222-200000000-2-2220000000000000000000000000000000000
χ54444-4-44-4-4-4-444-2-222-222-20000000022-2-20000000000000000000000000000000000
χ5544-444-4-4-44-44-4-2222-2-2-2200000000-22-220000000000000000000000000000000000
χ5644-444-4-4-4-44-44-2222-2-2-22000000002-22-20000000000000000000000000000000000
χ574-444-4-44-40000-2-2-222-2220000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ584-444-4-44-40000-2-2-222-222000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ594-44-44-4-440000-2-22-222-2200004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ604-44-44-4-440000-2-22-222-220000−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ614-4-44-44-4400004-4-44-44-440000000000000000000000000000000000000000000000
χ624-4-44-44-440000-222-22-22-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ634-4-44-44-440000-222-22-22-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ644-4-4-4444-400004-44-4-4-4440000000000000000000000000000000000000000000000
χ654-4-4-4444-40000-22-2222-2-20000000000000000−2i32i32i3−2i300000000000000000000000000
χ664-4-4-4444-40000-22-2222-2-200000000000000002i3−2i3−2i32i300000000000000000000000000

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