Finite Group Databasebeta

← Group #11713809

Character table — Group #11713809

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order12222222444444444436666666441212121212121212121212122244448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11-1
χ41111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-11
χ511111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-11111-11
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-11-1
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10022000000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-1-1-111111111002-2000000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1221111-1-1-1-1111100-2-2000000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-1-2-211111111-1-1-1-100-22000000000000
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
χ152-222-2-22-2002i−2i002-2-2222-2-222-2-22i−2i00002i2i−2i−2i00000000000000000000
χ162-222-2-22-2002i−2i002-2-22-1-111-1-1112i−2i−i3−i3i3i3−i−iii33−3−30000000000000000
χ172-222-2-22-2002i−2i002-2-22-1-111-1-1112i−2ii3i3−i3−i3−i−iii−3−3330000000000000000
χ182-222-2-22-200−2i2i002-2-2222-2-222-2-2−2i2i0000−2i−2i2i2i00000000000000000000
χ192-222-2-22-200−2i2i002-2-22-1-111-1-111−2i2i−i3−i3i3i3ii−i−i−3−3330000000000000000
χ202-222-2-22-200−2i2i002-2-22-1-111-1-111−2i2ii3i3−i3−i3ii−i−i33−3−30000000000000000
χ212-2-2-22-222000000-2-22222-2-2-2-222000000000000002-2000000002-20000
χ222-2-2-22-222000000-2-22222-2-2-2-22200000000000000-2200000000-220000
χ2333333333333333-1-1-1-100000000-1-100000000000011-1-111-1-1-1-1-1-1-1-111
χ2433333333333333-1-1-1-100000000-1-1000000000000-1-1-1-1-1-111111111-1-1
χ253333333333-3-3-3-3-1-1-1-1000000001100000000000011-11-1-1-1-111-1-1111-1
χ263333333333-3-3-3-3-1-1-1-10000000011000000000000-1-1-111111-1-111-1-1-11
χ2733333333-3-333-3-3-1-1-1-100000000-1-100000000000011111111-1-1-1-111-1-1
χ2833333333-3-333-3-3-1-1-1-100000000-1-1000000000000-1-111-1-1-1-11111-1-111
χ2933333333-3-3-3-333-1-1-1-10000000011000000000000111-1-1-11111-1-1-1-1-11
χ3033333333-3-3-3-333-1-1-1-10000000011000000000000-1-11-111-1-1-1-111111-1
χ31444-44-4-4-40000000000-222-22-22-20000000000000000000000000022−2200
χ32444-44-4-4-40000000000-222-22-22-200000000000000000000000000−222200
χ3344-44-4-4-444i−4i000000001-1-111-11-100i−ii−i3−33−3−i3i3−i3i30000000000000000
χ3444-44-4-4-444i−4i000000001-1-111-11-100i−ii−i−33−33i3−i3i3−i30000000000000000
χ3544-44-4-4-444i−4i00000000-222-2-22-2200−2i2i−2i2i000000000000000000000000
χ3644-44-4-4-44−4i4i000000001-1-111-11-100−ii−ii3−33−3i3−i3i3−i30000000000000000
χ3744-44-4-4-44−4i4i000000001-1-111-11-100−ii−ii−33−33−i3i3−i3i30000000000000000
χ3844-44-4-4-44−4i4i00000000-222-2-22-22002i−2i2i−2i000000000000000000000000
χ3944-4-4-444-4000000-44-44-2-2-2-22222000000000000000000000000000000
χ404-44-4-44-440000000000-22-222-2-2200000000000000000000−2i22i200000000
χ414-44-4-44-440000000000-22-222-2-22000000000000000000002i2−2i200000000
χ424-4-4444-4-400004i−4i00001-11-11-1-11003−3−33−i3i3i3−i3−iii−i0000000000000000
χ434-4-4444-4-400004i−4i00001-11-11-1-1100−333−3i3−i3−i3i3−iii−i0000000000000000
χ444-4-4444-4-400004i−4i0000-22-22-222-200000000002i−2i−2i2i0000000000000000
χ454-4-4444-4-40000−4i4i00001-11-11-1-11003−3−33i3−i3−i3i3i−i−ii0000000000000000
χ464-4-4444-4-40000−4i4i00001-11-11-1-1100−333−3−i3i3i3−i3i−i−ii0000000000000000
χ474-4-4444-4-40000−4i4i0000-22-22-222-20000000000−2i2i2i−2i0000000000000000
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
χ516-666-6-66-6006i−6i00-222-200000000−2i2i0000000000000000000000000000
χ526-666-6-66-600−6i6i00-222-2000000002i−2i0000000000000000000000000000
χ536-6-6-66-66600000022-2-200000000000000000000002-200000000-220000
χ546-6-6-66-66600000022-2-20000000000000000000000-22000000002-20000
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).