Finite Group Databasebeta

← Group #78799

Character table — Group #78799

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244444444888888121212122424111122222244444444888888121212122424
order12223446668812122424242444121212122488442222644666881212242424244412121212248844
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-111-1-1-1-11-111-1-111-1-1-111111111111-1-111-1-1-1-11-111-1-111-1-1-11
χ61111111111-1-111-1-1-1-11-111-1-1-1-1111-11111111111-1-111-1-1-1-11-111-1-1-1-1111-1
χ71111111111-1-111-1-1-1-1-11-1-11111-1-11-11111111111-1-111-1-1-1-1-11-1-11111-1-11-1
χ81111111111-1-111-1-1-1-1-11-1-111-1-111-111111111111-1-111-1-1-1-1-11-1-111-1-111-11
χ922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000
χ1022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000
χ142222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000
χ152-2-2222-2-2-222i−2i2-22i2i−2i−2i0000000000002-2-2222-2-2-222i−2i2-22i2i−2i−2i000000000000
χ162-2-2222-2-2-22−2i2i2-2−2i−2i2i2i0000000000002-2-2222-2-2-22−2i2i2-2−2i−2i2i2i000000000000
χ172-2-222-22-2-2200-220000000000002-2002-2-222-22-2-2200-220000000000002-200
χ182-2-222-22-2-2200-22000000000000-22002-2-222-22-2-2200-22000000000000-2200
χ192-2-22-12-211-12i−2i-11−i−iii003−3−i3i30000002-2-22-12-211-12i−2i-11−i−iii003−3−i3i3000000
χ202-2-22-12-211-12i−2i-11−i−iii00−33i3−i30000002-2-22-12-211-12i−2i-11−i−iii00−33i3−i3000000
χ212-2-22-12-211-1−2i2i-11ii−i−i003−3i3−i30000002-2-22-12-211-1−2i2i-11ii−i−i003−3i3−i3000000
χ222-2-22-12-211-1−2i2i-11ii−i−i00−33−i3i30000002-2-22-12-211-1−2i2i-11ii−i−i00−33−i3i3000000
χ234444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000
χ2444-4-4400-44-40000000000000000000044-4-4400-44-400000000000000000000
χ2544-4-4-2002-2200006−66−600000000000044-4-4-2002-2200006−66−6000000000000
χ2644-4-4-2002-220000−66−6600000000000044-4-4-2002-220000−66−66000000000000
χ274-44-44004-4-4000000000000000000004-44-44004-4-400000000000000000000
χ284-44-4-200-2220000i6−i6−i6i60000000000004-44-4-200-2220000i6−i6−i6i6000000000000
χ294-44-4-200-2220000−i6i6i6−i60000000000004-44-4-200-2220000−i6i6i6−i6000000000000
χ304-4-44-2-4422-2002-200000000000000004-4-44-2-4422-2002-20000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ351111111111-1-111-1-1-1-11-111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-1111-1
χ361111111111-1-111-1-1-1-11-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-11
χ371111111111-1-111-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111-11
χ381111111111-1-111-1-1-1-1-11-1-111-1-111-11-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-11-1
χ3922222-2-222200-2-200000000002-20000-2-2-2-2-222-2-2-200220000000000-220000
χ4022222-2-222200-2-20000000000-220000-2-2-2-2-222-2-2-2002200000000002-20000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-21-2-2111-2-2111111-2-21111000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-21111000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000
χ432222-122-1-1-1-2-2-1-111112-2-1-111000000-2-2-2-21-2-21112211-1-1-1-1-2211-1-1000000
χ442222-122-1-1-1-2-2-1-11111-2211-1-1000000-2-2-2-21-2-21112211-1-1-1-12-2-1-111000000
χ452-2-2222-2-2-222i−2i2-22i2i−2i−2i000000000000-222-2-2-2222-2−2i2i-22−2i−2i2i2i000000000000
χ462-2-2222-2-2-22−2i2i2-2−2i−2i2i2i000000000000-222-2-2-2222-22i−2i-222i2i−2i−2i000000000000
χ472-2-222-22-2-2200-220000000000002-200-222-2-22-222-2002-2000000000000-2200
χ482-2-222-22-2-2200-22000000000000-2200-222-2-22-222-2002-20000000000002-200
χ492-2-22-12-211-12i−2i-11−i−iii003−3−i3i3000000-222-21-22-1-11−2i2i1-1ii−i−i00−33i3−i3000000
χ502-2-22-12-211-12i−2i-11−i−iii00−33i3−i3000000-222-21-22-1-11−2i2i1-1ii−i−i003−3−i3i3000000
χ512-2-22-12-211-1−2i2i-11ii−i−i003−3i3−i3000000-222-21-22-1-112i−2i1-1−i−iii00−33−i3i3000000
χ522-2-22-12-211-1−2i2i-11ii−i−i00−33−i3i3000000-222-21-22-1-112i−2i1-1−i−iii003−3i3−i3000000
χ534444-2-4-4-2-2-200220000000000000000-4-4-4-424422200-2-20000000000000000
χ5444-4-4400-44-400000000000000000000-4-444-4004-4400000000000000000000
χ5544-4-4-2002-2200006−66−6000000000000-4-444200-22-20000−66−66000000000000
χ5644-4-4-2002-220000−66−66000000000000-4-444200-22-200006−66−6000000000000
χ574-44-44004-4-400000000000000000000-44-44-400-44400000000000000000000
χ584-44-4-200-2220000i6−i6−i6i6000000000000-44-442002-2-20000−i6i6i6−i6000000000000
χ594-44-4-200-2220000−i6i6i6−i6000000000000-44-442002-2-20000i6−i6−i6i6000000000000
χ604-4-44-2-4422-2002-20000000000000000-444-424-4-2-2200-220000000000000000

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