Finite Group Databasebeta

← Group #11713898

Character table — Group #11713898

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order12222222444444444436666666441212121212121212121212124444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-11
χ41111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1
χ511111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1
χ611111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10020020000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-1-1-11111111100-20020000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1111100200-20000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-12211111111-1-1-1-100-200-20000000000
χ13222-22-2-2-200000022-2-22222-2-2-2-2000000000000002-200002-200000000
χ14222-22-2-2-200000022-2-22222-2-2-2-200000000000000-220000-2200000000
χ152-222-2-2-220000002-22-222-2-2-222-2000000000000000002i−2i00000002i−2i00
χ162-222-2-2-220000002-22-222-2-2-222-200000000000000000−2i2i0000000−2i2i00
χ172-22-2-222-200002i−2i2-2-2222-2-22-2-222i−2i000000002i2i−2i−2i0000000000000000
χ182-22-2-222-200002i−2i2-2-22-1-111-111-12i−2i33−3−3−i3−i3i3i3−i−iii0000000000000000
χ192-22-2-222-200002i−2i2-2-22-1-111-111-12i−2i−3−333i3i3−i3−i3−i−iii0000000000000000
χ202-22-2-222-20000−2i2i2-2-2222-2-22-2-22−2i2i00000000−2i−2i2i2i0000000000000000
χ212-22-2-222-20000−2i2i2-2-22-1-111-111-1−2i2i33−3−3i3i3−i3−i3ii−i−i0000000000000000
χ222-22-2-222-20000−2i2i2-2-22-1-111-111-1−2i2i−3−333−i3−i3i3i3ii−i−i0000000000000000
χ2333333333333333-1-1-1-100000000-1-100000000000011-111-1-1-1-1-1-1-1-1-111
χ2433333333333333-1-1-1-100000000-1-1000000000000-1-1-1-1-1-111111111-1-1
χ253333333333-3-3-3-3-1-1-1-10000000011000000000000111-1-1-1-1-1-1-11111-11
χ263333333333-3-3-3-3-1-1-1-10000000011000000000000-1-1111-11111-1-1-1-11-1
χ2733333333-3-333-3-3-1-1-1-1000000001100000000000011-1-1-11-1-111-1-1111-1
χ2833333333-3-333-3-3-1-1-1-10000000011000000000000-1-1-111111-1-111-1-1-11
χ2933333333-3-3-3-333-1-1-1-100000000-1-1000000000000111111-1-11111-1-1-1-1
χ3033333333-3-3-3-333-1-1-1-100000000-1-1000000000000-1-11-1-1111-1-1-1-11111
χ31444-44-4-4-400000044-4-4-2-2-2-22222000000000000000000000000000000
χ3244-44-44-4-40000000000-222-222-2-2000000000000000000000022−22000000
χ3344-44-44-4-40000000000-222-222-2-20000000000000000000000−2222000000
χ3444-4-4-4-4444i−4i000000001-1-1111-1-100i−ii−i3−33−3−i3i3−i3i30000000000000000
χ3544-4-4-4-4444i−4i000000001-1-1111-1-100i−ii−i−33−33i3−i3i3−i30000000000000000
χ3644-4-4-4-4444i−4i00000000-222-2-2-22200−2i2i−2i2i000000000000000000000000
χ3744-4-4-4-444−4i4i000000001-1-1111-1-100−ii−ii3−33−3i3−i3i3−i30000000000000000
χ3844-4-4-4-444−4i4i000000001-1-1111-1-100−ii−ii−33−33−i3i3−i3i30000000000000000
χ3944-4-4-4-444−4i4i00000000-222-2-2-222002i−2i2i−2i000000000000000000000000
χ404-444-4-4-440000004-44-4-2-2222-2-22000000000000000000000000000000
χ414-4-444-44-4004i−4i0000001-11-11-11-100−i3i3i3−i3i−i−ii−333−30000000000000000
χ424-4-444-44-4004i−4i0000001-11-11-11-100i3−i3−i3i3i−i−ii3−3−330000000000000000
χ434-4-444-44-4004i−4i000000-22-22-22-22000000−2i2i2i−2i00000000000000000000
χ444-4-444-44-400−4i4i0000001-11-11-11-100−i3i3i3−i3−iii−i3−3−330000000000000000
χ454-4-444-44-400−4i4i0000001-11-11-11-100i3−i3−i3i3−iii−i−333−30000000000000000
χ464-4-444-44-400−4i4i000000-22-22-22-220000002i−2i−2i2i00000000000000000000
χ474-4-4-444-440000000000-22-222-22-2000000000000000000000000−2i22i20000
χ484-4-4-444-440000000000-22-222-22-20000000000000000000000002i2−2i20000
χ49666-66-6-6-6000000-2-22200000000000000000000002-20000-2200000000
χ50666-66-6-6-6000000-2-2220000000000000000000000-2200002-200000000
χ516-666-6-6-66000000-22-2200000000000000000000000002i−2i0000000−2i2i00
χ526-666-6-6-66000000-22-220000000000000000000000000−2i2i00000002i−2i00
χ536-66-6-666-600006i−6i-222-200000000−2i2i0000000000000000000000000000
χ546-66-6-666-60000−6i6i-222-2000000002i−2i0000000000000000000000000000
χ5588-88-88-8-800000000002-2-22-2-222000000000000000000000000000000
χ568-8-8-888-8800000000002-22-2-22-22000000000000000000000000000000

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