Finite Group Databasebeta

← Group #73065

Character table — Group #73065

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222666688888888888888881212121212121212121224242424
order122222224444444436666666121212121212121244888888882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111-1-11-1-1ii−i−i1-11-11111-1-1-1-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1i−i
χ6111-1-11-1-1ii−i−i1-11-11111-1-1-1-1iiii−i−i−i−ii−i-1-111−i−iii-11−ii
χ7111-1-11-1-1−i−iii1-11-11111-1-1-1-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−ii
χ8111-1-11-1-1−i−iii1-11-11111-1-1-1-1−i−i−i−iiiii−ii-1-111ii−i−i-11i−i
χ92222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000
χ1022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-2000000000000
χ11222-2-22-2-22i2i−2i−2i2-22-2-1-1-1-11111−i−i−i−iiiii2i−2i000000000000
χ12222-2-22-2-2−2i−2i2i2i2-22-2-1-1-1-11111iiii−i−i−i−i−2i2i000000000000
χ1322-22-2-22-22i−2i2i−2i0000-111-11-1-11ii−i−iii−i−i00−i2i2−i2i22−22−20000
χ1422-22-2-22-22i−2i2i−2i0000-111-11-1-11ii−i−iii−i−i00i2−i2i2−i2−22−220000
χ1522-22-2-22-2−2i2i−2i2i0000-111-11-1-11−i−iii−i−iii00−i2i2−i2i2−22−220000
χ1622-22-2-22-2−2i2i−2i2i0000-111-11-1-11−i−iii−i−iii00i2−i2i2−i22−22−20000
χ1722-2-22-2-222-2-220000-111-1-111-111-1-1-1-11100−i2i2i2−i2−i2i2i2−i20000
χ1822-2-22-2-222-2-220000-111-1-111-111-1-1-1-11100i2−i2−i2i2i2−i2−i2i20000
χ1922-2-22-2-22-222-20000-111-1-111-1-1-11111-1-100−i2i2i2−i2i2−i2−i2i20000
χ2022-2-22-2-22-222-20000-111-1-111-1-1-11111-1-100i2−i2−i2i2−i2i2i2−i20000
χ212-2-22-22-220000-2-22222-2-222-2-20000000000000000000000
χ222-2-22-22-220000-2-222-1-111-1-1113−33−33−33−300000000000000
χ232-2-22-22-220000-2-222-1-111-1-111−33−33−33−3300000000000000
χ242-2-2-2222-20000-222-222-2-2-2-2220000000000000000000000
χ252-2-2-2222-20000-222-2-1-11111-1-1−i3i3−i3i3i3−i3i3−i300000000000000
χ262-2-2-2222-20000-222-2-1-11111-1-1i3−i3i3−i3−i3i3−i3i300000000000000
χ27333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1
χ28333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111
χ2933333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-111
χ3033333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-1
χ31333-3-33-3-33i3i−3i−3i-11-110000000000000000−ii11-1-1ii−i−i-11−ii
χ32333-3-33-3-33i3i−3i−3i-11-110000000000000000−ii-1-111−i−iii1-1i−i
χ33333-3-33-3-3−3i−3i3i3i-11-110000000000000000i−i11-1-1−i−iii-11i−i
χ34333-3-33-3-3−3i−3i3i3i-11-110000000000000000i−i-1-111ii−i−i1-1−ii
χ3544-44-4-44-44i−4i4i−4i00001-1-11-111-1−i−iii−i−iii00000000000000
χ3644-44-4-44-4−4i4i−4i4i00001-1-11-111-1ii−i−iii−i−i00000000000000
χ3744-4-44-4-444-4-4400001-1-111-1-11-1-11111-1-100000000000000
χ3844-4-44-4-44-444-400001-1-111-1-1111-1-1-1-11100000000000000
χ394-4444-4-4-4000000001-11-1-11-11−i3i3i3−i3−i3i3i3−i300000000000000
χ404-4444-4-4-4000000001-11-1-11-11i3−i3−i3i3i3−i3−i3i300000000000000
χ414-4444-4-4-400000000-22-222-22-20000000000000000000000
χ424-44-4-4-444000000001-11-11-11-13−3−33−333−300000000000000
χ434-44-4-4-444000000001-11-11-11-1−333−33−3−3300000000000000
χ444-44-4-4-44400000000-22-22-22-220000000000000000000000
χ456-6-66-66-66000022-2-2000000000000000000000000000000
χ466-6-6-6666-600002-2-22000000000000000000000000000000

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