Finite Group Databasebeta

← Group #72341593

Character table — Group #72341593

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11222666612121212121212121616323232324848484848484848484848484848484848486464646464641122266661212121212121212161632323232484848484848484848484848484848484848646464646464
order12244224422224444223666244444888888888888666612122224422442222444422666624444488888888888866661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ511-1-11-11-1111-1-1-1-1111-11-1-111-11-11-11-11-111-1-111-1-111-1-11-111-1-11-11-1111-1-1-1-1111-11-1-111-11-11-11-11-111-1-111-1-111-1-11-1
χ611-1-11-11-1111-1-1-1-1111-11-1-11-111-1-11-11-11-1-111-1-11111-1-11-111-1-11-11-1111-1-1-1-1111-11-1-11-111-1-11-11-11-1-111-1-11111-1-11-1
χ711-1-11-11-1111-1-1-1-111-111-1-111-1-111-1-11-1111-1-1-1-111-1-1111-111-1-11-11-1111-1-1-1-111-111-1-111-1-111-1-11-1111-1-1-1-111-1-1111-1
χ811-1-11-11-1111-1-1-1-111-111-1-11-11-11-111-11-1-1-11111-1-1-1-1111-111-1-11-11-1111-1-1-1-111-111-1-11-11-11-111-11-1-1-11111-1-1-1-1111-1
χ92222222222222222222-1-1-1-1002200000000000000-1-1-1-1-1-12222222222222222222-1-1-1-1002200000000000000-1-1-1-1-1-1
χ1022222222222222222-2-2-1-1-1-100-2-2000000000000001111-1-122222222222222222-2-2-1-1-1-100-2-2000000000000001111-1-1
χ11222-2-222-2-22-22-22-22-20022220000000000000000000000-2-2222-2-222-2-22-22-22-22-20022220000000000000000000000-2-2
χ12222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000−i3i3−i3i311222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000−i3i3−i3i311
χ13222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000i3−i3i3−i311222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000i3−i3i3−i311
χ1422-22-2-222-22-2-22-222-2002-2-220000000000000000000000-2222-22-2-222-22-2-22-222-2002-2-220000000000000000000000-22
χ1522-22-2-222-22-2-22-222-200-111-1000000000000000000−i3i3i3−i31-122-22-2-222-22-2-22-222-200-111-1000000000000000000−i3i3i3−i31-1
χ1622-22-2-222-22-2-22-222-200-111-1000000000000000000i3−i3−i3i31-122-22-2-222-22-2-22-222-200-111-1000000000000000000i3−i3−i3i31-1
χ1722-2-22-22-2222-2-2-2-2222-2-111-1002-200000000000000-1-111-1122-2-22-22-2222-2-2-2-2222-2-111-1002-200000000000000-1-111-11
χ1822-2-22-22-2222-2-2-2-222-22-111-100-220000000000000011-1-1-1122-2-22-22-2222-2-2-2-222-22-111-100-220000000000000011-1-1-11
χ19333333333-1-1-1-1-1-1-1-133000011-1-1111111-1-1-1-1-1-1-1-1000000333333333-1-1-1-1-1-1-1-133000011-1-1111111-1-1-1-1-1-1-1-1000000
χ20333333333-1-1-1-1-1-1-1-1330000-1-1-1-1-1-1-1-1-1-111111111000000333333333-1-1-1-1-1-1-1-1330000-1-1-1-1-1-1-1-1-1-111111111000000
χ21333333333-1-1-1-1-1-1-1-1-3-30000111111-1-1-1-1-1-1-1-11111000000333333333-1-1-1-1-1-1-1-1-3-30000111111-1-1-1-1-1-1-1-11111000000
χ22333333333-1-1-1-1-1-1-1-1-3-30000-1-111-1-111111111-1-1-1-1000000333333333-1-1-1-1-1-1-1-1-3-30000-1-111-1-111111111-1-1-1-1000000
χ2333-3-33-33-33-1-11111-1-13-300001-1-111-11-11-1-1-111-1-11100000033-3-33-33-33-1-11111-1-13-300001-1-111-11-11-1-1-111-1-111000000
χ2433-3-33-33-33-1-11111-1-13-30000-11-11-11-11-1111-1-111-1-100000033-3-33-33-33-1-11111-1-13-30000-11-11-11-11-1111-1-111-1-1000000
χ2533-3-33-33-33-1-11111-1-1-3300001-11-11-1-11-11-1-11111-1-100000033-3-33-33-33-1-11111-1-1-3300001-11-11-1-11-11-1-11111-1-1000000
χ2633-3-33-33-33-1-11111-1-1-330000-111-1-111-11-111-1-1-1-11100000033-3-33-33-33-1-11111-1-1-330000-111-1-111-11-111-1-1-1-111000000
χ2766666-2-2-2-22-22-2-22-2200000000000022-2-20000000000000066666-2-2-2-22-22-2-22-2200000000000022-2-200000000000000
χ2866666-2-2-2-22-22-2-22-22000000000000-2-2220000000000000066666-2-2-2-22-22-2-22-22000000000000-2-22200000000000000
χ2966666-2-2-2-2-22-222-22-20000002200-2-200000000000000000066666-2-2-2-2-22-222-22-20000002200-2-2000000000000000000
χ3066666-2-2-2-2-22-222-22-2000000-2-2002200000000000000000066666-2-2-2-2-22-222-22-2000000-2-20022000000000000000000
χ31666-6-666-6-6-22-22-22-22000000000000000000000000000000666-6-666-6-6-22-22-22-22000000000000000000000000000000
χ32666-6-6-2-2222222-2-2-2-2000000000000000000002i−2i2i−2i000000666-6-6-2-2222222-2-2-2-2000000000000000000002i−2i2i−2i000000
χ33666-6-6-2-2222222-2-2-2-200000000000000000000−2i2i−2i2i000000666-6-6-2-2222222-2-2-2-200000000000000000000−2i2i−2i2i000000
χ34666-6-6-2-222-2-2-2-2222200000000000000002-22-20000000000666-6-6-2-222-2-2-2-2222200000000000000002-22-20000000000
χ35666-6-6-2-222-2-2-2-222220000000000000000-22-220000000000666-6-6-2-222-2-2-2-222220000000000000000-22-220000000000
χ3666-66-62-2-2222-2-222-2-2000000000000000000002i−2i−2i2i00000066-66-62-2-2222-2-222-2-2000000000000000000002i−2i−2i2i000000
χ3766-66-62-2-2222-2-222-2-200000000000000000000−2i2i2i−2i00000066-66-62-2-2222-2-222-2-200000000000000000000−2i2i2i−2i000000
χ3866-66-62-2-22-2-222-2-22200000000000000002-2-22000000000066-66-62-2-22-2-222-2-22200000000000000002-2-220000000000
χ3966-66-62-2-22-2-222-2-2220000000000000000-222-2000000000066-66-62-2-22-2-222-2-2220000000000000000-222-20000000000
χ4066-66-6-666-6-222-22-2-2200000000000000000000000000000066-66-6-666-6-222-22-2-22000000000000000000000000000000
χ4166-6-662-22-22-2-222-2-220000000000002-2-220000000000000066-6-662-22-22-2-222-2-220000000000002-2-2200000000000000
χ4266-6-662-22-22-2-222-2-22000000000000-222-20000000000000066-6-662-22-22-2-222-2-22000000000000-222-200000000000000
χ4366-6-662-22-2-222-2-222-20000002-200-2200000000000000000066-6-662-22-2-222-2-222-20000002-200-22000000000000000000
χ4466-6-662-22-2-222-2-222-2000000-22002-200000000000000000066-6-662-22-2-222-2-222-2000000-22002-2000000000000000000
χ4516-1600000000000000000400-400000000000000000000000016-1600000000000000000400-4000000000000000000000000
χ4616-1600000000000000000-2−2i32i3200000000000000000000000016-1600000000000000000-2−2i32i32000000000000000000000000
χ4716-1600000000000000000-22i3−2i3200000000000000000000000016-1600000000000000000-22i3−2i32000000000000000000000000
χ4811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4911111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1
χ5011111111111111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1
χ5111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ5211-1-11-11-1111-1-1-1-1111-11-1-111-11-11-11-11-111-1-111-1-111-1-11-1-1-111-11-11-1-1-11111-1-1-11-111-1-11-11-11-11-11-1-111-1-111-1-111-11
χ5311-1-11-11-1111-1-1-1-1111-11-1-11-111-1-11-11-11-1-111-1-11111-1-11-1-1-111-11-11-1-1-11111-1-1-11-111-11-1-111-11-11-111-1-111-1-1-1-111-11
χ5411-1-11-11-1111-1-1-1-111-111-1-111-1-111-1-11-1111-1-1-1-111-1-1111-1-1-111-11-11-1-1-11111-1-11-1-111-1-111-1-111-11-1-1-11111-1-111-1-1-11
χ5511-1-11-11-1111-1-1-1-111-111-1-11-11-11-111-11-1-1-11111-1-1-1-1111-1-1-111-11-11-1-1-11111-1-11-1-111-11-11-11-1-11-1111-1-1-1-11111-1-1-11
χ562222222222222222222-1-1-1-1002200000000000000-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111100-2-200000000000000111111
χ5722222222222222222-2-2-1-1-1-100-2-2000000000000001111-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2221111002200000000000000-1-1-1-111
χ58222-2-222-2-22-22-22-22-20022220000000000000000000000-2-2-2-2-222-2-222-22-22-22-2200-2-2-2-2000000000000000000000022
χ59222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000−i3i3−i3i311-2-2-222-2-222-22-22-22-22001111000000000000000000i3−i3i3−i3-1-1
χ60222-2-222-2-22-22-22-22-200-1-1-1-1000000000000000000i3−i3i3−i311-2-2-222-2-222-22-22-22-22001111000000000000000000−i3i3−i3i3-1-1
χ6122-22-2-222-22-2-22-222-2002-2-220000000000000000000000-22-2-22-222-2-22-222-22-2-2200-222-200000000000000000000002-2
χ6222-22-2-222-22-2-22-222-200-111-1000000000000000000−i3i3i3−i31-1-2-22-222-2-22-222-22-2-22001-1-11000000000000000000i3−i3−i3i3-11
χ6322-22-2-222-22-2-22-222-200-111-1000000000000000000i3−i3−i3i31-1-2-22-222-2-22-222-22-2-22001-1-11000000000000000000−i3i3i3−i3-11
χ6422-2-22-22-2222-2-2-2-2222-2-111-1002-200000000000000-1-111-11-2-222-22-22-2-2-22222-2-2-221-1-1100-220000000000000011-1-11-1
χ6522-2-22-22-2222-2-2-2-222-22-111-100-220000000000000011-1-1-11-2-222-22-22-2-2-22222-2-22-21-1-11002-200000000000000-1-1111-1
χ66333333333-1-1-1-1-1-1-1-133000011-1-1111111-1-1-1-1-1-1-1-1000000-3-3-3-3-3-3-3-3-311111111-3-30000-1-111-1-1-1-1-1-111111111000000
χ67333333333-1-1-1-1-1-1-1-1330000-1-1-1-1-1-1-1-1-1-111111111000000-3-3-3-3-3-3-3-3-311111111-3-300001111111111-1-1-1-1-1-1-1-1000000
χ68333333333-1-1-1-1-1-1-1-1-3-30000111111-1-1-1-1-1-1-1-11111000000-3-3-3-3-3-3-3-3-311111111330000-1-1-1-1-1-111111111-1-1-1-1000000
χ69333333333-1-1-1-1-1-1-1-1-3-30000-1-111-1-111111111-1-1-1-1000000-3-3-3-3-3-3-3-3-31111111133000011-1-111-1-1-1-1-1-1-1-11111000000
χ7033-3-33-33-33-1-11111-1-13-300001-1-111-11-11-1-1-111-1-111000000-3-333-33-33-311-1-1-1-111-330000-111-1-11-11-1111-1-111-1-1000000
χ7133-3-33-33-33-1-11111-1-13-30000-11-11-11-11-1111-1-111-1-1000000-3-333-33-33-311-1-1-1-111-3300001-11-11-11-11-1-1-111-1-111000000
χ7233-3-33-33-33-1-11111-1-1-3300001-11-11-1-11-11-1-11111-1-1000000-3-333-33-33-311-1-1-1-1113-30000-11-11-111-11-111-1-1-1-111000000
χ7333-3-33-33-33-1-11111-1-1-330000-111-1-111-11-111-1-1-1-111000000-3-333-33-33-311-1-1-1-1113-300001-1-111-1-11-11-1-11111-1-1000000
χ7466666-2-2-2-22-22-2-22-2200000000000022-2-200000000000000-6-6-6-6-62222-22-222-22-2000000000000-2-22200000000000000
χ7566666-2-2-2-22-22-2-22-22000000000000-2-22200000000000000-6-6-6-6-62222-22-222-22-200000000000022-2-200000000000000
χ7666666-2-2-2-2-22-222-22-20000002200-2-2000000000000000000-6-6-6-6-622222-22-2-22-22000000-2-20022000000000000000000
χ7766666-2-2-2-2-22-222-22-2000000-2-20022000000000000000000-6-6-6-6-622222-22-2-22-220000002200-2-2000000000000000000
χ78666-6-666-6-6-22-22-22-22000000000000000000000000000000-6-6-666-6-6662-22-22-22-2000000000000000000000000000000
χ79666-6-6-2-2222222-2-2-2-2000000000000000000002i−2i2i−2i000000-6-6-66622-2-2-2-2-2-2222200000000000000000000−2i2i−2i2i000000
χ80666-6-6-2-2222222-2-2-2-200000000000000000000−2i2i−2i2i000000-6-6-66622-2-2-2-2-2-22222000000000000000000002i−2i2i−2i000000
χ81666-6-6-2-222-2-2-2-2222200000000000000002-22-20000000000-6-6-66622-2-22222-2-2-2-20000000000000000-22-220000000000
χ82666-6-6-2-222-2-2-2-222220000000000000000-22-220000000000-6-6-66622-2-22222-2-2-2-200000000000000002-22-20000000000
χ8366-66-62-2-2222-2-222-2-2000000000000000000002i−2i−2i2i000000-6-66-66-222-2-2-222-2-22200000000000000000000−2i2i2i−2i000000
χ8466-66-62-2-2222-2-222-2-200000000000000000000−2i2i2i−2i000000-6-66-66-222-2-2-222-2-222000000000000000000002i−2i−2i2i000000
χ8566-66-62-2-22-2-222-2-22200000000000000002-2-220000000000-6-66-66-222-222-2-222-2-20000000000000000-222-20000000000
χ8666-66-62-2-22-2-222-2-2220000000000000000-222-20000000000-6-66-66-222-222-2-222-2-200000000000000002-2-220000000000
χ8766-66-6-666-6-222-22-2-22000000000000000000000000000000-6-66-666-6-662-2-22-222-2000000000000000000000000000000
χ8866-6-662-22-22-2-222-2-220000000000002-2-2200000000000000-6-666-6-22-22-222-2-222-2000000000000-222-200000000000000
χ8966-6-662-22-22-2-222-2-22000000000000-222-200000000000000-6-666-6-22-22-222-2-222-20000000000002-2-2200000000000000
χ9066-6-662-22-2-222-2-222-20000002-200-22000000000000000000-6-666-6-22-222-2-222-2-22000000-22002-2000000000000000000
χ9166-6-662-22-2-222-2-222-2000000-22002-2000000000000000000-6-666-6-22-222-2-222-2-220000002-200-22000000000000000000
χ9216-1600000000000000000400-4000000000000000000000000-161600000000000000000-4004000000000000000000000000
χ9316-1600000000000000000-2−2i32i32000000000000000000000000-16160000000000000000022i3−2i3-2000000000000000000000000
χ9416-1600000000000000000-22i3−2i32000000000000000000000000-1616000000000000000002−2i32i3-2000000000000000000000000

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