Finite Group Databasebeta

← Group #70192

Character table — Group #70192

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666688881212121224242424242424242244666612121212444488884444
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
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111
χ9111-1-1-11-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-11-1i−i
χ10111-1-1-11-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i−i−iii-1-111-11−ii
χ11111-1-1-11-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−i−iiiii−i−i11-1-1-11−ii
χ12111-1-1-11-111-1-1111-1-1-11-1ii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−i−iii−i−iii-1-1111-1i−i
χ13111-1-1-11-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iiiii−i−i-1-111-11i−i
χ14111-1-1-11-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii−i−iii11-1-11-1−ii
χ15111-1-1-11-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111ii−i−iii−i−i-1-1111-1−ii
χ16111-1-1-11-111-1-1111-1-1-11-1−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i−i−iii11-1-1-11i−i
χ17222222222-2-2-2-222222220000-2-2-2-2000000000000000000002-22-200000000
χ18222222222-2-2-2-222222220000-2-2-2-200000000000000000000-22-2200000000
χ1922222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000
χ23222-2-2-22-22-222-222-2-2-22-20000-2-222000000000000000000002i−2i−2i2i00000000
χ24222-2-2-22-22-222-222-2-2-22-20000-2-22200000000000000000000−2i2i2i−2i00000000
χ25222-2-2-22-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii2-22i−2i-1-111−i−iii000000000000
χ26222-2-2-22-2-12-2-22-1-1111-112i2i−2i−2i-1-111−i−i−i−iiiii-22−2i2i11-1-1ii−i−i000000000000
χ27222-2-2-22-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i2-2−2i2i-1-111ii−i−i000000000000
χ28222-2-2-22-2-12-2-22-1-1111-11−2i−2i2i2i-1-111iiii−i−i−i−i-222i−2i11-1-1−i−iii000000000000
χ292-2-22-2-22222-22-2-2-22-2-2222-22-22-2-2222-2-222-2-2000000000000000000000000
χ302-2-22-2-22222-22-2-2-22-2-222-22-222-2-22-2-222-2-222000000000000000000000000
χ312-2-22-2-2222-22-22-2-22-2-2220000-222-20000000000000000000000002-22-20000
χ322-2-22-2-2222-22-22-2-22-2-2220000-222-2000000000000000000000000-22-220000
χ332-2-22-2-222-12-22-211-111-1-12-22-2-111-1-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000
χ342-2-22-2-222-12-22-211-111-1-12-22-2-111-1-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000
χ352-2-22-2-222-12-22-211-111-1-1-22-22-111-111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ362-2-22-2-222-12-22-211-111-1-1-22-22-111-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ372-2-2-2222-2222-2-2-2-2-2222-22i−2i−2i2i2-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ382-2-2-2222-2222-2-2-2-2-2222-2−2i2i2i−2i2-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ392-2-2-2222-22-2-222-2-2-2222-20000-22-220000000000000000000000002-2-220000
χ402-2-2-2222-22-2-222-2-2-2222-20000-22-22000000000000000000000000-222-20000
χ412-2-2-2222-2-122-2-2111-1-1-112i−2i−2i2i-11-11−i−iiiii−i−i0000−i3i3i3−i33−3−33000000000000
χ422-2-2-2222-2-122-2-2111-1-1-112i−2i−2i2i-11-11−i−iiiii−i−i0000i3−i3−i3i3−333−3000000000000
χ432-2-2-2222-2-122-2-2111-1-1-11−2i2i2i−2i-11-11ii−i−i−i−iii0000−i3i3i3−i3−333−3000000000000
χ442-2-2-2222-2-122-2-2111-1-1-11−2i2i2i−2i-11-11ii−i−i−i−iii0000i3−i3−i3i33−3−33000000000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ46444-4-4-44-4-2-444-4-2-2222-22000022-2-200000000000000000000000000000000
χ4744-444-4-4-4400004-444-4-4-40000000000000000000000000000000000000000
χ4844-444-4-4-4-20000-22-2-2222000000006−66−66−66−6000000000000000000000000
χ4944-444-4-4-4-20000-22-2-222200000000−66−66−66−66000000000000000000000000
χ5044-4-4-44-44400004-4-4-44-440000000000000000000000000000000000000000
χ5144-4-4-44-44-20000-2222-22-200000000i6−i6i6−i6−i6i6−i6i6000000000000000000000000
χ5244-4-4-44-44-20000-2222-22-200000000−i6i6−i6i6i6−i6i6−i6000000000000000000000000
χ534-444-44-4-440000-444-44-4-40000000000000000000000000000000000000000
χ544-444-44-4-4-200002-2-22-222000000006−6−666−6−66000000000000000000000000
χ554-444-44-4-4-200002-2-22-22200000000−666−6−666−6000000000000000000000000
χ564-44-44-4-4440000-44-44-4-440000000000000000000000000000000000000000
χ574-44-44-4-44-200002-22-222-200000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ584-44-44-4-44-200002-22-222-200000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ594-4-44-4-444-2-44-4422-222-2-200002-2-2200000000000000000000000000000000
χ604-4-4-4444-4-2-4-444222-2-2-2200002-22-200000000000000000000000000000000

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