Finite Group Databasebeta

← Group #78751

Character table — Group #78751

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111122222244444444888888121212122424111122222244444444888888121212122424
order1222344666881212242424242466121224882422226446668812122424242424661212248824
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
χ152-22-222-2-22-22i−2i2-22i2i−2i−2i0000000000002-22-222-2-22-22i−2i2-22i2i−2i−2i000000000000
χ162-22-222-2-22-2−2i2i2-2−2i−2i2i2i0000000000002-22-222-2-22-2−2i2i2-2−2i−2i2i2i000000000000
χ172-22-22-22-22-200-220000000000002-2002-22-22-22-22-200-220000000000002-200
χ182-22-22-22-22-200-22000000000000-22002-22-22-22-22-200-22000000000000-2200
χ192-22-2-12-21-112i−2i-11−i−iii00−i3i33−30000002-22-2-12-21-112i−2i-11−i−iii00−i3i33−3000000
χ202-22-2-12-21-112i−2i-11−i−iii00i3−i3−330000002-22-2-12-21-112i−2i-11−i−iii00i3−i3−33000000
χ212-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−330000002-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−33000000
χ222-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−30000002-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−3000000
χ234444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000
χ2444-4-4400-4-440000000000000000000044-4-4400-4-4400000000000000000000
χ2544-4-4-20022-20000i6−i6i6−i600000000000044-4-4-20022-20000i6−i6i6−i6000000000000
χ2644-4-4-20022-20000−i6i6−i6i600000000000044-4-4-20022-20000−i6i6−i6i6000000000000
χ274-44-4-2-442-22002-200000000000000004-44-4-2-442-22002-20000000000000000
χ284-4-444004-4-4000000000000000000004-4-444004-4-400000000000000000000
χ294-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−66000000000000
χ304-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−6000000000000
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
χ452-22-222-2-22-22i−2i2-22i2i−2i−2i000000000000-22-22-2-222-22−2i2i-22−2i−2i2i2i000000000000
χ462-22-222-2-22-2−2i2i2-2−2i−2i2i2i000000000000-22-22-2-222-222i−2i-222i2i−2i−2i000000000000
χ472-22-22-22-22-200-220000000000002-200-22-22-22-22-22002-2000000000000-2200
χ482-22-22-22-22-200-22000000000000-2200-22-22-22-22-22002-20000000000002-200
χ492-22-2-12-21-112i−2i-11−i−iii00−i3i33−3000000-22-221-22-11-1−2i2i1-1ii−i−i00i3−i3−33000000
χ502-22-2-12-21-112i−2i-11−i−iii00i3−i3−33000000-22-221-22-11-1−2i2i1-1ii−i−i00−i3i33−3000000
χ512-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−33000000-22-221-22-11-12i−2i1-1−i−iii00i3−i33−3000000
χ522-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−3000000-22-221-22-11-12i−2i1-1−i−iii00−i3i3−33000000
χ534444-2-4-4-2-2-200220000000000000000-4-4-4-424422200-2-20000000000000000
χ5444-4-4400-4-4400000000000000000000-4-444-40044-400000000000000000000
χ5544-4-4-20022-20000i6−i6i6−i6000000000000-4-444200-2-220000−i6i6−i6i6000000000000
χ5644-4-4-20022-20000−i6i6−i6i6000000000000-4-444200-2-220000i6−i6i6−i6000000000000
χ574-44-4-2-442-22002-20000000000000000-44-4424-4-22-200-220000000000000000
χ584-4-444004-4-400000000000000000000-444-4-400-44400000000000000000000
χ594-4-44-200-22200006−6−66000000000000-444-42002-2-20000−666−6000000000000
χ604-4-44-200-2220000−666−6000000000000-444-42002-2-200006−6−66000000000000

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