Finite Group Databasebeta

← Group #14518797

Character table — Group #14518797

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222444444444466666666666612121212121212121212121212121212121212121212121212121212121227272727545454545454545454545454545454548181162162
order1233366633333666663333336666663333333333333336666666666666664444121212121212121212121212121212122266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-1111-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−ii−iiii−i−i−iiii−i−i−i1-11-1
χ61-1111-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iii−i−iiiii−i−i−i−i−i−iiii-11-11
χ71-1111-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−iii−i−i−i−iiiiiii−i−i−i-11-11
χ81-1111-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−i−iiii−i−i−iiii1-11-1
χ9222222222222222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100220022000000-1-1-1-1-1-10000
χ10222222222222222222222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000001111110000
χ11222222222222222222-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-10000000000
χ12222222222222222222-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-200-2-2001111110000000000
χ13222-1222-12-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1002200-1-10000002-1-12-1-10000
χ14222-1222-12-1-1-1-12-1-1-1-12222-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-100-2-20011000000-211-2110000
χ15222-1222-12-1-1-1-12-1-1-1-1222-12-1222-12-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-1222-1-1-1002200-1-1000000-12-1-12-10000
χ16222-1222-12-1-1-1-12-1-1-1-1222-12-1222-12-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-12-1-1-1-1222-1-1-100-2-200110000001-211-210000
χ17222-1222-12-1-1-1-12-1-1-1-1222-1-12222-1-12-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-1222002200-1-1000000-1-12-1-120000
χ18222-1222-12-1-1-1-12-1-1-1-1222-1-12222-1-12-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-122200-2-2001100000011-211-20000
χ1922-1222-12-12-1-1-1-12-1-1-12-1-12222-1-12222-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-1-12200-1-1002-1-12-1-10000000000
χ2022-1222-12-12-1-1-1-12-1-1-12-1-12222-1-12222-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-1-1-2-2001100-211-2110000000000
χ2122-1222-12-12-1-1-1-12-1-1-1-12-1222-12-1222-12-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-12200-1-100-12-1-12-10000000000
χ2222-1222-12-12-1-1-1-12-1-1-1-12-1222-12-1222-12-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-1-2-20011001-211-210000000000
χ2322-1222-12-12-1-1-1-12-1-1-1-1-12222-1-12222-1-12-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-122200-1-100-1-12-1-120000000000
χ2422-1222-12-12-1-1-1-12-1-1-1-1-12222-1-12222-1-12-1-1-1-1-12-1-12-1-12-1-12-1-1-1-1-12-1-12-1-12-2-200110011-211-20000000000
χ252-2222-2-2-222222-2-2-2-2-2222-1-1-1-2-2-2111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111111111002i−2i002i−2i000000−i−i−iiii0000
χ262-2222-2-2-222222-2-2-2-2-2222-1-1-1-2-2-2111222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111111111100−2i2i00−2i2i000000iii−i−i−i0000
χ272-2222-2-2-222222-2-2-2-2-2-1-1-1222111-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1111-2-2-21111111112i−2i002i−2i00−i−i−iiii0000000000
χ282-2222-2-2-222222-2-2-2-2-2-1-1-1222111-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1111-2-2-2111111111−2i2i00−2i2i00iii−i−i−i0000000000
χ292-22-12-2-212-1-1-1-1-211112222-1-1-2-2-2-211-1-1-12-1-1222-1-1-1-1-1-1111-211-2-2-2111111002i−2i00−ii0000002i−i−i−2iii0000
χ302-22-12-2-212-1-1-1-1-211112222-1-1-2-2-2-211-1-1-12-1-1222-1-1-1-1-1-1111-211-2-2-211111100−2i2i00i−i000000−2iii2i−i−i0000
χ312-22-12-2-212-1-1-1-1-21111222-12-1-2-2-21-21-1-1-1-12-1-1-1-1222-1-1-11111-21111-2-2-2111002i−2i00−ii000000−i2i−ii−2ii0000
χ322-22-12-2-212-1-1-1-1-21111222-12-1-2-2-21-21-1-1-1-12-1-1-1-1222-1-1-11111-21111-2-2-211100−2i2i00i−i000000i−2ii−i2i−i0000
χ332-22-12-2-212-1-1-1-1-21111222-1-12-2-2-211-2-1-1-1-1-12-1-1-1-1-1-122211111-2111111-2-2-2002i−2i00−ii000000−i−i2iii−2i0000
χ342-22-12-2-212-1-1-1-1-21111222-1-12-2-2-211-2-1-1-1-1-12-1-1-1-1-1-122211111-2111111-2-2-200−2i2i00i−i000000ii−2i−i−i2i0000
χ352-2-122-21-2-12-1-1-11-21112-1-1222-211-2-2-22-1-1-1-1-12-1-12-1-12-1-1-211111-211-211-2112i−2i00−ii002i−i−i−2iii0000000000
χ362-2-122-21-2-12-1-1-11-21112-1-1222-211-2-2-22-1-1-1-1-12-1-12-1-12-1-1-211111-211-211-211−2i2i00i−i00−2iii2i−i−i0000000000
χ372-2-122-21-2-12-1-1-11-2111-12-12221-21-2-2-2-12-1-1-1-1-12-1-12-1-12-11-211111-211-211-212i−2i00−ii00−i2i−ii−2ii0000000000
χ382-2-122-21-2-12-1-1-11-2111-12-12221-21-2-2-2-12-1-1-1-1-12-1-12-1-12-11-211111-211-211-21−2i2i00i−i00i−2ii−i2i−i0000000000
χ392-2-122-21-2-12-1-1-11-2111-1-1222211-2-2-2-2-1-12-1-1-1-1-12-1-12-1-1211-211111-211-211-22i−2i00−ii00−i−i2iii−2i0000000000
χ402-2-122-21-2-12-1-1-11-2111-1-1222211-2-2-2-2-1-12-1-1-1-1-12-1-12-1-1211-211111-211-211-2−2i2i00i−i00ii−2i−i−i2i0000000000
χ41444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2111111111000000000000000000000000
χ42444-2444-24-2-2-2-24-2-2-2-2-2-2-24-2-2-2-2-24-2-21114-2-2-2-2-21111111114-2-2-2-2-2111111000000000000000000000000
χ43444-2444-24-2-2-2-24-2-2-2-2-2-2-2-24-2-2-2-2-24-2111-24-2111-2-2-2111111-24-2111-2-2-2111000000000000000000000000
χ44444-2444-24-2-2-2-24-2-2-2-2-2-2-2-2-24-2-2-2-2-24111-2-24111111-2-2-2111-2-24111111-2-2-2000000000000000000000000
χ4544-2444-24-24-2-2-2-24-2-2-24-2-2-2-2-24-2-2-2-2-24-2-2111-211-211-2114-2-2111-211-211-211000000000000000000000000
χ4644-2444-24-24-2-2-2-24-2-2-2-24-2-2-2-2-24-2-2-2-2-24-21111-211-211-21-24-21111-211-211-21000000000000000000000000
χ4744-2444-24-24-2-2-2-24-2-2-2-2-24-2-2-2-2-24-2-2-2-2-2411111-211-211-2-2-2411111-211-211-2000000000000000000000000
χ4844-2-244-2-2-2-2111-2-21114-2-24-2-24-2-24-2-2-211-2114-2-2-211-211-211-2114-2-2-211-211000000000000000000000000
χ4944-2-244-2-2-2-2111-2-21114-2-2-24-24-2-2-24-2-2111-21-2114-2-2-211-2111-21-2114-2-2-211000000000000000000000000
χ5044-2-244-2-2-2-2111-2-21114-2-2-2-244-2-2-2-24-21111-2-211-2114-2-2-21111-2-211-2114-2-2000000000000000000000000
χ5144-2-244-2-2-2-2111-2-2111-24-24-2-2-24-24-2-21-21-211-24-21-211-211-21-211-24-21-211-21000000000000000000000000
χ5244-2-244-2-2-2-2111-2-2111-24-2-24-2-24-2-24-21-211-211-21-24-21-211-211-211-21-24-21-21000000000000000000000000
χ5344-2-244-2-2-2-2111-2-2111-24-2-2-24-24-2-2-241-2111-21-211-21-24-21-2111-21-211-21-24-2000000000000000000000000
χ5444-2-244-2-2-2-2111-2-2111-2-244-2-2-2-244-2-211-2-211-2-2411-211-211-2-211-2-2411-211-2000000000000000000000000
χ5544-2-244-2-2-2-2111-2-2111-2-24-24-2-2-24-24-211-21-2111-2-2-2411-211-21-2111-2-2-2411-2000000000000000000000000
χ5644-2-244-2-2-2-2111-2-2111-2-24-2-24-2-24-2-2411-211-211-211-2-2-2411-211-211-211-2-2-24000000000000000000000000
χ574-4444-4-4-444444-4-4-4-4-4-2-2-2-2-2-2222222-2-2-2-2-2-2111111111222222-1-1-1-1-1-1-1-1-1000000000000000000000000
χ584-44-24-4-424-2-2-2-2-42222-2-2-24-2-2222-4221114-2-2-2-2-2111111-1-1-1-422222-1-1-1-1-1-1000000000000000000000000
χ594-44-24-4-424-2-2-2-2-42222-2-2-2-24-22222-42111-24-2111-2-2-2111-1-1-12-42-1-1-1222-1-1-1000000000000000000000000
χ604-44-24-4-424-2-2-2-2-42222-2-2-2-2-2422222-4111-2-24111111-2-2-2-1-1-122-4-1-1-1-1-1-1222000000000000000000000000
χ614-4-244-42-4-24-2-2-22-42224-2-2-2-2-2-4222224-2-2111-211-211-211-422-1-1-12-1-12-1-12-1-1000000000000000000000000
χ624-4-244-42-4-24-2-2-22-4222-24-2-2-2-22-42222-24-21111-211-211-212-42-1-1-1-12-1-12-1-12-1000000000000000000000000
χ634-4-244-42-4-24-2-2-22-4222-2-24-2-2-222-4222-2-2411111-211-211-222-4-1-1-1-1-12-1-12-1-12000000000000000000000000
χ644-4-2-24-422-2-211122-1-1-14-2-24-2-2-422-422-211-2114-2-2-211-2112-1-12-1-1-4222-1-12-1-1000000000000000000000000
χ654-4-2-24-422-2-211122-1-1-14-2-2-24-2-4222-42-2111-21-2114-2-2-2112-1-1-12-12-1-1-4222-1-1000000000000000000000000
χ664-4-2-24-422-2-211122-1-1-14-2-2-2-24-42222-4-21111-2-211-2114-2-22-1-1-1-122-1-12-1-1-422000000000000000000000000
χ674-4-2-24-422-2-211122-1-1-1-24-24-2-22-42-4221-21-211-24-21-211-21-12-12-1-12-42-12-1-12-1000000000000000000000000
χ684-4-2-24-422-2-211122-1-1-1-24-2-24-22-422-421-211-211-21-24-21-21-12-1-12-1-12-12-42-12-1000000000000000000000000
χ694-4-2-24-422-2-211122-1-1-1-24-2-2-242-4222-41-2111-21-211-21-24-2-12-1-1-12-12-1-12-12-42000000000000000000000000
χ704-4-2-24-422-2-211122-1-1-1-2-244-2-222-4-42211-2-211-2-2411-211-2-1-122-1-122-4-1-12-1-12000000000000000000000000
χ714-4-2-24-422-2-211122-1-1-1-2-24-24-222-42-4211-21-2111-2-2-2411-2-1-12-12-1-1-1222-4-1-12000000000000000000000000
χ724-4-2-24-422-2-211122-1-1-1-2-24-2-2422-422-411-211-211-211-2-2-24-1-12-1-12-1-12-1-1222-4000000000000000000000000
χ736666-3-366-3-36-3-3-3-36-3-30000000000000000000000000000000000000000000000000000000000000022-1-1
χ746666-3-366-3-36-3-3-3-36-3-300000000000000000000000000000000000000000000000000000000000000-2-211
χ756-666-33-6-6-3-36-3-333-633000000000000000000000000000000000000000000000000000000000000002-2-11
χ766-666-33-6-6-3-36-3-333-63300000000000000000000000000000000000000000000000000000000000000-221-1
χ77121212-6-6-612-6-63-633-63-633000000000000000000000000000000000000000000000000000000000000000000
χ781212-612-6-6-6123-6-6333-6-633000000000000000000000000000000000000000000000000000000000000000000
χ791212-6-6-6-6-6-6333−3−9i32−3+9i32333−3−9i32−3+9i32000000000000000000000000000000000000000000000000000000000000000000
χ801212-6-6-6-6-6-6333−3+9i32−3−9i32333−3+9i32−3−9i32000000000000000000000000000000000000000000000000000000000000000000
χ8112-1212-6-66-126-63-6336-36-3-3000000000000000000000000000000000000000000000000000000000000000000
χ8212-12-612-666-123-6-633-366-3-3000000000000000000000000000000000000000000000000000000000000000000
χ8312-12-6-6-6666333−3−9i32−3+9i32-3-3-33+9i323−9i32000000000000000000000000000000000000000000000000000000000000000000
χ8412-12-6-6-6666333−3+9i32−3−9i32-3-3-33−9i323+9i32000000000000000000000000000000000000000000000000000000000000000000

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