Finite Group Databasebeta

← Group #72268581

Character table — Group #72268581

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112244666666666666121212121212121212121212121224242424323232324848484848484848484848484848646464646464
order1244242422222244444422222224444444888836121224444444888888666121212
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111-1-111111111111111-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-111-1-1-1-11-1-11-1-1
χ4111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-1-11-1-1
χ511-1-1-111-1-1-1-1111-1-1-11111-1111-1-11-111-1-1-111-1-111-1-11-111-1-11-11-111-1-1-1111-1-1
χ611-1-1-111-1-1-1-1111-1-1-11111-1111-1-11-111-1-1-1-1-11111-1-1-11-1-111-11-11-1-111-1111-1-1
χ711-1-1-11-11-1-1-1111-1-1-11111-1-1-1-1111-1-1-111111-1-111-1-1-1111-1-1-111-1-1-111-1-1-1111
χ811-1-1-11-11-1-1-1111-1-1-11111-1-1-1-1111-1-1-1111-1-11111-1-11-1-1-1111-1-1111-1-1-1-1-1111
χ922222222222222222222222222222222220000-1-1-1-100000000000000-1-1-1-1-1-1
χ10222222-2-222222222222222-2-2-2-2-222-2-2-2-2-20000-1-1-1-100000000000000-111-111
χ112222-2-20022-22-2-22-2-222-22-200000-22000000000222200000000000000-200-200
χ122222-2-20022-22-2-22-2-222-22-200000-22000000000-1-1-1-1000000000000001−i3i31−i3i3
χ132222-2-20022-22-2-22-2-222-22-200000-22000000000-1-1-1-1000000000000001i3−i31i3−i3
χ1422-2-22-200-2-222-2-2-22222-22200000-2-200000000022-2-200000000000000200-200
χ1522-2-22-200-2-222-2-2-22222-22200000-2-2000000000-1-11100000000000000-1−i3i31i3−i3
χ1622-2-22-200-2-222-2-2-22222-22200000-2-2000000000-1-11100000000000000-1i3−i31−i3i3
χ1722-2-2-222-2-2-2-2222-2-2-22222-2222-2-22-222-2-2-20000-1-111000000000000001-1-1-111
χ1822-2-2-22-22-2-2-2222-2-2-22222-2-2-2-2222-2-2-22220000-1-11100000000000000111-1-1-1
χ19333333333-1-1-13-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-1-111110000-1-11-11-111-1-11-11-1000000
χ20333333333-1-1-13-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-1-1000011-11-11-1-111-11-11000000
χ2133333333-13-1-1-13-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-111110000-1-1-11-1111-1-1-11-11000000
χ2233333333-13-1-1-13-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-1-1-1-1-10000111-11-1-1-1111-11-1000000
χ2333333333-1-133-1-13-1-1-1-13-1-13-1-1-1-1-1-1-1-13-1-11111000011-1-1-1-11111-1-1-1-1000000
χ2433333333-1-133-1-13-1-1-1-13-1-13-1-1-1-1-1-1-1-13-1-1-1-1-1-10000-1-11111-1-1-1-11111000000
χ25333333-3-33-1-1-13-1-13-13-1-1-1-1111-31-1-1-3111111110000111-11-1-1-1-1-1-11-11000000
χ26333333-3-33-1-1-13-1-13-13-1-1-1-1111-31-1-1-31111-1-1-1-10000-1-1-11-1111111-11-1000000
χ27333333-3-3-13-1-1-13-1-13-13-1-1-11111-3-1-11-31111111000011-11-11-1-1-1-11-11-1000000
χ28333333-3-3-13-1-1-13-1-13-13-1-1-11111-3-1-11-3111-1-1-1-10000-1-11-11-11111-11-11000000
χ29333333-3-3-1-133-1-13-1-1-1-13-1-1-31111-1-111-31111110000-1-1-1-1-1-1-1-1111111000000
χ30333333-3-3-1-133-1-13-1-1-1-13-1-1-31111-1-111-311-1-1-1-1000011111111-1-1-1-1-1-1000000
χ3133-3-3-333-311-33-1-1-311-1-13-113-1-111-11-1-1-31111-1-100001-1-1-1111-11-1-1-111000000
χ3233-3-3-333-311-33-1-1-311-1-13-113-1-111-11-1-1-311-1-1110000-1111-1-1-11-1111-1-1000000
χ3333-3-3-333-31-31-1-1311-3-13-1-11-1-1-11-3-11-1311111-1-10000-11-111-11-1-11-111-1000000
χ3433-3-3-333-31-31-1-1311-3-13-1-11-1-1-11-3-11-13111-1-11100001-11-1-11-111-11-1-11000000
χ3533-3-3-333-3-311-13-11-313-1-1-11-1-1-1-31-113-111111-1-10000-111-1-111-1-111-1-11000000
χ3633-3-3-333-3-311-13-11-313-1-1-11-1-1-1-31-113-1111-1-11100001-1-111-1-111-1-111-1000000
χ3733-3-3-33-3311-33-1-1-311-1-13-11-311-1-1-11113-1-111-1-10000-11-1-111-111-111-1-1000000
χ3833-3-3-33-3311-33-1-1-311-1-13-11-311-1-1-11113-1-1-1-11100001-111-1-11-1-11-1-111000000
χ3933-3-3-33-331-31-1-1311-3-13-1-11111-13-111-3-1-1-111-1-100001-1-111-1-11-111-1-11000000
χ4033-3-3-33-331-31-1-1311-3-13-1-11111-13-111-3-1-1-1-1-1110000-111-1-111-11-1-111-1000000
χ4133-3-3-33-33-311-13-11-313-1-1-111113-1-11-31-1-1-111-1-100001-11-1-11-11-11-111-1000000
χ4233-3-3-33-33-311-13-11-313-1-1-111113-1-11-31-1-1-1-1-1110000-11-111-11-11-11-1-11000000
χ4366666666-2-2-2-2-2-2-2-2-2-2-2-222-222-2-222-2-2-2220000000000000000000000000000
χ44666666-6-6-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222222-2-20000000000000000000000000000
χ456666-6-6006-22-2-62-2-626-22-22000002-2000000000000000000000000000000000
χ466666-6-600-262-22-6-22-6-262-22000002-2000000000000000000000000000000000
χ476666-6-600-2-22-222-222-2-222-204-400-220004-40000000000000000000000000000
χ486666-6-600-2-22-222-222-2-222-20-4400-22000-440000000000000000000000000000
χ496666-6-600-2-2-6622622-2-2-6-22000002-2000000000000000000000000000000000
χ5066-6-66-600226622-6-2-2-2-2-6-2-20000022000000000000000000000000000000000
χ5166-6-66-60022-2-2222-2-2-2-222204-400-2-2000-440000000000000000000000000000
χ5266-6-66-60022-2-2222-2-2-2-22220-4400-2-20004-40000000000000000000000000000
χ5366-6-66-6002-6-2-22-62-26-262-2-20000022000000000000000000000000000000000
χ5466-6-66-600-62-2-2-6226-26-22-2-20000022000000000000000000000000000000000
χ5566-6-6-666-6222-2-2-2222-2-2-22-2-222222-2-2-22-2-20000000000000000000000000000
χ5666-6-6-66-66222-2-2-2222-2-2-22-22-2-2-2-22-222-2220000000000000000000000000000
χ578-88i−8i00000000000000000000000000000022−22−2i22i22-22i−2i00000000000000000000
χ588-88i−8i000000000000000000000000000000−22222i2−2i22-22i−2i00000000000000000000
χ598-8−8i8i00000000000000000000000000000022−222i2−2i22-2−2i2i00000000000000000000
χ608-8−8i8i000000000000000000000000000000−2222−2i22i22-2−2i2i00000000000000000000
χ6116-1616i−16i0000000000000000000000000000000000-22−2i2i00000000000000000000
χ6216-16−16i16i0000000000000000000000000000000000-222i−2i00000000000000000000

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