Finite Group Databasebeta

← Group #70263

Character table — Group #70263

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222222222222222244444444444444888888888888121212121212121224242424
order12222234444666666688888812121212242424242424242444441212121212121212444488888888
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ911-1-11-11-111-111-1-1-1-11ii−i−ii−i11-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1i−ii−i11-1-1i−i1-1
χ1011-1-11-11-111-111-1-1-1-11ii−i−ii−i11-1-1iiii−i−i−i−i1-1i−iii−i−i11-1-1−ii−ii-1-111−ii-11
χ1111-1-11-11-111-111-1-1-1-11ii−i−ii−i11-1-1iiii−i−i−i−i-11−ii−i−iii-1-111i−ii−i11-1-1−ii-11
χ1211-1-11-11-111-111-1-1-1-11ii−i−ii−i11-1-1iiii−i−i−i−i-11−ii−i−iii-1-111−ii−ii-1-111i−i1-1
χ1311-1-11-11-111-111-1-1-1-11−i−iii−ii11-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1i−ii−i-1-111i−i-11
χ1411-1-11-11-111-111-1-1-1-11−i−iii−ii11-1-1−i−i−i−iiiii1-1−ii−i−iii11-1-1−ii−ii11-1-1−ii1-1
χ1511-1-11-11-111-111-1-1-1-11−i−iii−ii11-1-1−i−i−i−iiiii-11i−iii−i−i-1-111i−ii−i-1-111−ii1-1
χ1611-1-11-11-111-111-1-1-1-11−i−iii−ii11-1-1−i−i−i−iiiii-11i−iii−i−i-1-111−ii−ii11-1-1i−i-11
χ172222222-2-2-2-22222222000000-2-2-2-20000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22222222000000-2-2-2-2000000000000000000000000−2i2i−2i2i0000
χ19222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ20222222-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ21222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-11111111122-2-21111-1-1-1-1000000000000
χ22222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-2-222-1-1-1-11111000000000000
χ232222-2-2222-2-2-2-22-2-2222222-2-22-2-2222-2-222-2-2000000000000000000000000
χ242222-2-2222-2-2-2-22-2-222-2-2-2-2222-2-22-2-222-2-222000000000000000000000000
χ252222-2-22-2-222-2-22-2-222000000-222-20000000000000000000022-2-200000000
χ262222-2-22-2-222-2-22-2-222000000-222-200000000000000000000-2-22200000000
χ272222-2-2-122-2-211-111-1-12222-2-2-111-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ282222-2-2-122-2-211-111-1-12222-2-2-111-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ292222-2-2-122-2-211-111-1-1-2-2-2-222-111-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ302222-2-2-122-2-211-111-1-1-2-2-2-222-111-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ3122-2-22-222-2-2222-2-2-2-22000000-2-2220000000000000000000000002i−2i−2i2i0000
χ3222-2-22-222-2-2222-2-2-2-22000000-2-222000000000000000000000000−2i2i2i−2i0000
χ3322-2-22-2-1-222-2-1-11111-12i2i−2i−2i2i−2i-1-111−i−i−i−iiiii2-22i−2i−i−iii-1-111000000000000
χ3422-2-22-2-1-222-2-1-11111-12i2i−2i−2i2i−2i-1-111−i−i−i−iiiii-22−2i2iii−i−i11-1-1000000000000
χ3522-2-22-2-1-222-2-1-11111-1−2i−2i2i2i−2i2i-1-111iiii−i−i−i−i2-2−2i2iii−i−i-1-111000000000000
χ3622-2-22-2-1-222-2-1-11111-1−2i−2i2i2i−2i2i-1-111iiii−i−i−i−i-222i−2i−i−iii11-1-1000000000000
χ3722-2-2-2222-22-2-2-2-222-22000000-22-22000000000000000000002i−2i−2i2i00000000
χ3822-2-2-2222-22-2-2-2-222-22000000-22-2200000000000000000000−2i2i2i−2i00000000
χ3922-2-2-222-22-22-2-2-222-222i2i−2i−2i−2i2i2-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-222-22-22-2-2-222-22−2i−2i2i2i2i−2i2-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-22-1-22-22111-1-11-12i2i−2i−2i−2i2i-11-11−i−iiiii−i−i00003−3−33−i3i3i3−i3000000000000
χ4222-2-2-22-1-22-22111-1-11-12i2i−2i−2i−2i2i-11-11−i−iiiii−i−i0000−333−3i3−i3−i3i3000000000000
χ4322-2-2-22-1-22-22111-1-11-1−2i−2i2i2i2i−2i-11-11ii−i−i−i−iii00003−3−33i3−i3−i3i3000000000000
χ4422-2-2-22-1-22-22111-1-11-1−2i−2i2i2i2i−2i-11-11ii−i−i−i−iii0000−333−3−i3i3i3−i3000000000000
χ45444444-2-4-4-4-4-2-2-2-2-2-2-2000000222200000000000000000000000000000000
χ464444-4-4-2-4-44422-222-2-20000002-2-2200000000000000000000000000000000
χ4744-4-44-4-24-4-44-2-22222-200000022-2-200000000000000000000000000000000
χ4844-4-4-44-24-44-4222-2-22-20000002-22-200000000000000000000000000000000
χ494-44-4004000000400-4-422−2222−2200000022−220022−2200000000000000000000000000
χ504-44-4004000000400-4-4−2222−2222000000−222200−222200000000000000000000000000
χ514-44-400-20000−2i32i3-2−2i32i32222−2222−22000000−22i6−i6−22i6−i6000000000000000000000000
χ524-44-400-20000−2i32i3-2−2i32i322−2222−22220000002−2−i6i62−2−i6i6000000000000000000000000
χ534-44-400-200002i3−2i3-22i3−2i32222−2222−22000000−22−i6i6−22−i6i6000000000000000000000000
χ544-44-400-200002i3−2i3-22i3−2i322−2222−22220000002−2i6−i62−2i6−i6000000000000000000000000
χ554-4-44004000000-4004-4−2i22i22i2−2i2000000−2i22i2002i2−2i200000000000000000000000000
χ564-4-44004000000-4004-42i2−2i2−2i22i20000002i2−2i200−2i22i200000000000000000000000000
χ574-4-4400-20000−2i32i322i3−2i3-22−2i22i22i2−2i2000000i2−i26−6−i2i2−66000000000000000000000000
χ584-4-4400-20000−2i32i322i3−2i3-222i2−2i2−2i22i2000000−i2i2−66i2−i26−6000000000000000000000000
χ594-4-4400-200002i3−2i32−2i32i3-22−2i22i22i2−2i2000000i2−i2−66−i2i26−6000000000000000000000000
χ604-4-4400-200002i3−2i32−2i32i3-222i2−2i2−2i22i2000000−i2i26−6i2−i2−66000000000000000000000000

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