Finite Group Databasebeta

← Group #11713813

Character table — Group #11713813

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order12222222444444444436666666441212121212121212121212124444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-11
χ41111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111-1
χ511111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111-1
χ611111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-11
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-111-111-1-11111-1-1-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12002000000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-1-1-111111111200-2000000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2002000000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-12211111111-1-1-1-1-200-2000000000000
χ1322-2-2-222-2000000-22-222222-2-2-2-20000000000000000002i−2i002i−2i000000
χ1422-2-2-222-2000000-22-222222-2-2-2-2000000000000000000−2i2i00−2i2i000000
χ152-222-2-22-200002i−2i2-2-2222-2-222-2-22i−2i000000002i2i−2i−2i0000000000000000
χ162-222-2-22-200002i−2i2-2-22-1-111-1-1112i−2i−i3−i3i3i333−3−3−i−iii0000000000000000
χ172-222-2-22-200002i−2i2-2-22-1-111-1-1112i−2ii3i3−i3−i3−3−333−i−iii0000000000000000
χ182-222-2-22-20000−2i2i2-2-2222-2-222-2-2−2i2i00000000−2i−2i2i2i0000000000000000
χ192-222-2-22-20000−2i2i2-2-22-1-111-1-111−2i2i−i3−i3i3i3−3−333ii−i−i0000000000000000
χ202-222-2-22-20000−2i2i2-2-22-1-111-1-111−2i2ii3i3−i3−i333−3−3ii−i−i0000000000000000
χ212-2-2-22-222000000-2-22222-2-2-2-2220000000000000002-200000002-20000
χ222-2-2-22-222000000-2-22222-2-2-2-222000000000000000-220000000-220000
χ2333333333333333-1-1-1-100000000-1-1000000000000-111-111-1-1-1-1-1-1-1-111
χ2433333333333333-1-1-1-100000000-1-1000000000000-1-1-1-1-1-111111111-1-1
χ253333333333-3-3-3-3-1-1-1-10000000011000000000000-1111-1-1-1-111-1-111-11
χ263333333333-3-3-3-3-1-1-1-10000000011000000000000-1-1-111111-1-111-1-11-1
χ2733333333-3-333-3-3-1-1-1-10000000011000000000000111-1-1-11111-1-1-1-11-1
χ2833333333-3-333-3-3-1-1-1-100000000110000000000001-1-1-111-1-1-1-11111-11
χ2933333333-3-3-3-333-1-1-1-100000000-1-100000000000011111111-1-1-1-111-1-1
χ3033333333-3-3-3-333-1-1-1-100000000-1-10000000000001-1-11-1-1-1-11111-1-111
χ31444-44-4-4-40000000000-222-22-22-20000000000000000000022−2200000000
χ32444-44-4-4-40000000000-222-22-22-200000000000000000000−222200000000
χ3344-44-4-4-44004i−4i0000001-1-111-11-1003−33−3i−ii−i−i3i3−i3i30000000000000000
χ3444-44-4-4-44004i−4i0000001-1-111-11-100−33−33i−ii−ii3−i3i3−i30000000000000000
χ3544-44-4-4-44004i−4i000000-222-2-22-22000000−2i2i−2i2i00000000000000000000
χ3644-44-4-4-4400−4i4i0000001-1-111-11-1003−33−3−ii−iii3−i3i3−i30000000000000000
χ3744-44-4-4-4400−4i4i0000001-1-111-11-100−33−33−ii−ii−i3i3−i3i30000000000000000
χ3844-44-4-4-4400−4i4i000000-222-2-22-220000002i−2i2i−2i00000000000000000000
χ3944-4-4-444-4000000-44-44-2-2-2-22222000000000000000000000000000000
χ404-44-4-44-440000000000-22-222-2-2200000000000000000000000000−2i22i200
χ414-44-4-44-440000000000-22-222-2-22000000000000000000000000002i2−2i200
χ424-4-4444-4-44i−4i000000001-11-11-1-1100i−i−ii−i3i3i3−i3−333−30000000000000000
χ434-4-4444-4-44i−4i000000001-11-11-1-1100i−i−iii3−i3−i3i33−3−330000000000000000
χ444-4-4444-4-44i−4i00000000-22-22-222-200−2i2i2i−2i000000000000000000000000
χ454-4-4444-4-4−4i4i000000001-11-11-1-1100−iii−i−i3i3i3−i33−3−330000000000000000
χ464-4-4444-4-4−4i4i000000001-11-11-1-1100−iii−ii3−i3−i3i3−333−30000000000000000
χ474-4-4444-4-4−4i4i00000000-22-22-222-2002i−2i−2i2i000000000000000000000000
χ484-4-4-44-444000000-4-444-2-22222-2-2000000000000000000000000000000
χ4966-6-6-666-60000002-22-2000000000000000000000000002i−2i00−2i2i000000
χ5066-6-6-666-60000002-22-200000000000000000000000000−2i2i002i−2i000000
χ516-666-6-66-600006i−6i-222-200000000−2i2i0000000000000000000000000000
χ526-666-6-66-60000−6i6i-222-2000000002i−2i0000000000000000000000000000
χ536-6-6-66-66600000022-2-2000000000000000000000002-20000000-220000
χ546-6-6-66-66600000022-2-200000000000000000000000-2200000002-20000
χ55888-88-8-8-800000000002-2-22-22-22000000000000000000000000000000
χ568-88-8-88-8800000000002-22-2-222-2000000000000000000000000000000

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