Finite Group Databasebeta

← Group #11713583

Character table — Group #11713583

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order1222222244442244444436666666448888888866661212121212121212444444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1-1-1
χ4111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-11
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-1
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-111-11
χ922222222222222222222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1200200000000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-122000000001111-1-1-1-11111-200-200000000
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-200000000-1-1-1-111111111-200200000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-1200-200000000
χ13222-2-2-2-222i2i−2i−2i00002-2-222222-2-2-2-22i−2i0000000000002i2i−2i−2i0000000000000000
χ14222-2-2-2-222i2i−2i−2i00002-2-22-1-1-1-111112i−2i00000000−i3−i3i3i3−i−iii33−3−3000000000000
χ15222-2-2-2-222i2i−2i−2i00002-2-22-1-1-1-111112i−2i00000000i3i3−i3−i3−i−iii−3−333000000000000
χ16222-2-2-2-22−2i−2i2i2i00002-2-222222-2-2-2-2−2i2i000000000000−2i−2i2i2i0000000000000000
χ17222-2-2-2-22−2i−2i2i2i00002-2-22-1-1-1-11111−2i2i00000000−i3−i3i3i3ii−i−i−3−333000000000000
χ18222-2-2-2-22−2i−2i2i2i00002-2-22-1-1-1-11111−2i2i00000000i3i3−i3−i3ii−i−i33−3−3000000000000
χ1922-222-2-2-22-22-22-22-20000-111-111-1-10022−2−222−2−21-11-11-11-11-11-10000002−22−200
χ2022-222-2-2-22-22-22-22-20000-111-111-1-100−2−222−2−2221-11-11-11-11-11-1000000−22−2200
χ2122-222-2-2-22-22-2-22-220000-111-111-1-10022−2−222−2−2-11-111-11-1-11-11000000−22−2200
χ2222-222-2-2-22-22-2-22-220000-111-111-1-100−2−222−2−222-11-111-11-1-11-110000002−22−200
χ2322-222-2-2-2-22-222-2-220000-111-111-1-10022−2−2−2−2221-11-1-11-11-11-11000000−222−200
χ2422-222-2-2-2-22-222-2-220000-111-111-1-100−2−22222−2−21-11-1-11-11-11-110000002−2−2200
χ2522-222-2-2-2-22-22-222-20000-111-111-1-10022−2−2−2−222-11-11-11-111-11-10000002−2−2200
χ2622-222-2-2-2-22-22-222-20000-111-111-1-100−2−22222−2−2-11-11-11-111-11-1000000−222−200
χ272-2-22-22-2200000000-22-2222-2-22-22-2002-22-2000000000000000002-2000000000
χ282-2-22-22-2200000000-22-2222-2-22-22-200-22-2200000000000000000-22000000000
χ292-2-2-22-22200000000-2-22222-2-2-22-220000002-22-200000000000000002-2000000
χ302-2-2-22-22200000000-2-22222-2-2-22-22000000-22-220000000000000000-22000000
χ313333333333333333-1-1-1-100000000-1-111111111000000000000-1-1-1-1-1-11111-1-1
χ323333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1000000000000-111-111-1-1-1-111
χ33333333333333-3-3-3-3-1-1-1-100000000-1-1111111110000000000001-1-11-1-1-1-1-1-111
χ34333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000001111111111-1-1
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-10000000000001-1-1-111-1-1111-1
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-11111000000000000111-1-1-111-1-1-11
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-1000000000000-1-1-111111-1-1-11
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-11111000000000000-1111-1-1-1-1111-1
χ3944-444-4-4-44-44-44-44-400001-1-11-1-1110000000000-11-11-11-11-11-11000000000000
χ4044-444-4-4-44-44-4-44-4400001-1-11-1-11100000000001-11-1-11-111-11-1000000000000
χ4144-444-4-4-4-44-444-4-4400001-1-11-1-1110000000000-11-111-11-11-11-1000000000000
χ4244-444-4-4-4-44-44-444-400001-1-11-1-11100000000001-11-11-11-1-11-11000000000000
χ4344-4-4-444-44i−4i−4i4i000000001-1-1111-1-10000000000−i3i3i3−i3−iii−i3−3−33000000000000
χ4444-4-4-444-44i−4i−4i4i000000001-1-1111-1-10000000000i3−i3−i3i3−iii−i−333−3000000000000
χ4544-4-4-444-44i−4i−4i4i00000000-222-2-2-222000000000000002i−2i−2i2i0000000000000000
χ4644-4-4-444-4−4i4i4i−4i000000001-1-1111-1-10000000000−i3i3i3−i3i−i−ii−333−3000000000000
χ4744-4-4-444-4−4i4i4i−4i000000001-1-1111-1-10000000000i3−i3−i3i3i−i−ii3−3−33000000000000
χ4844-4-4-444-4−4i4i4i−4i00000000-222-2-2-22200000000000000−2i2i2i−2i0000000000000000
χ494-444-4-44-4000000000000-22-222-2-220022−22−22220000000000000000000000000000
χ504-444-4-44-4000000000000-22-222-2-2200−222222−220000000000000000000000000000
χ514-44-444-4-4000000000000-22-22-222-200000022−22−2222000000000000000000000000
χ524-44-444-4-4000000000000-22-22-222-2000000−222222−22000000000000000000000000
χ534-4-44-44-4400000000-44-44-2-222-22-220000000000000000000000000000000000
χ544-4-4-44-44400000000-4-444-2-2222-22-20000000000000000000000000000000000
χ55666-6-6-6-666i6i−6i−6i0000-222-200000000−2i2i00000000000000000000000000000000
χ56666-6-6-6-66−6i−6i6i6i0000-222-2000000002i−2i00000000000000000000000000000000
χ576-6-66-66-66000000002-22-200000000002-22-200000000000000000-22000000000
χ586-6-66-66-66000000002-22-20000000000-22-22000000000000000002-2000000000
χ596-6-6-66-6660000000022-2-2000000000000002-22-20000000000000000-22000000
χ606-6-6-66-6660000000022-2-200000000000000-22-2200000000000000002-2000000
χ618-888-8-88-80000000000002-22-2-222-20000000000000000000000000000000000
χ628-88-888-8-80000000000002-22-22-2-220000000000000000000000000000000000

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