Finite Group Databasebeta

← Group #14518830

Character table — Group #14518830

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222224444444466666666121212121212121212121212121212121212121212121212121212121212121227272727545454545454545454545454545454548181162162
order1233333666663333666633336666333333333333333366666666666666664444121212121212121212121212121212122266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−ii−iiii−i−i−i1-11-1
χ61-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−iiiiii−i−i−i−i−ii−i−i−iiii-11-11
χ71-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−i−i−i−i−iiiiii−iiii−i−i−i-11-11
χ81-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−ii−i−i−iiii1-11-1
χ922222222222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1
χ1022222222222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-211
χ1122222222222222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100220000000022-1-1-1-1-1-10000
χ1222222222222222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100-2-200000000-2-21111110000
χ13222222-12222-1-1-1-1-1-1-1-1-12-1-1222-1-12-1-12-1-1-1222-1-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-1002200000000-1-12-1-12-1-10000
χ14222222-12222-1-1-1-1-1-1-1-1-12-1-1222-1-12-1-12-1-1-1222-1-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-1-100-2-20000000011-211-2110000
χ15222222-12222-1-1-1-1-1-1-1-1-1-12-122-12-1-12-12-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-1-1-1222-1-1-1002200000000-1-1-12-1-12-10000
χ16222222-12222-1-1-1-1-1-1-1-1-1-12-122-12-1-12-12-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-1-1-1222-1-1-100-2-200000000111-211-210000
χ17222222-12222-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-1222002200000000-1-1-1-12-1-120000
χ18222222-12222-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-1-122200-2-2000000001111-211-20000
χ19222-1-1-122-1-1-122-1-1-12-1-1-122222222-1-1-1-12-1-12-1-12-1-12-1-1-1-1-1-12-1-12-1-12-1-12-1-122002-1-1-12-1-1-1000000000000
χ20222-1-1-122-1-1-122-1-1-12-1-1-122222222-1-1-1-12-1-12-1-12-1-12-1-1-1-1-1-12-1-12-1-12-1-12-1-1-2-200-2111-2111000000000000
χ212-222222-2-2-2-2-22222-2-2-2-2222-11-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111111111111000000000000000000002-2-11
χ222-222222-2-2-2-2-22222-2-2-2-2222-11-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111111111100000000000000000000-221-1
χ232-222222-2-2-2-2-22222-2-2-2-2-1-1-12-2111-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-2111111111002i−2i000000002i−2i−i−i−iiii0000
χ242-222222-2-2-2-2-22222-2-2-2-2-1-1-12-2111-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-211111111100−2i2i00000000−2i2iiii−i−i−i0000
χ252-22222-1-2-2-2-21-1-1-1-111112-1-12-2-2112-1-12-1-1-1222-1-1-1-1-1-1-211-2111-2-2-2111111002i−2i00000000−ii2i−i−i−2iii0000
χ262-22222-1-2-2-2-21-1-1-1-111112-1-12-2-2112-1-12-1-1-1222-1-1-1-1-1-1-211-2111-2-2-211111100−2i2i00000000i−i−2iii2i−i−i0000
χ272-22222-1-2-2-2-21-1-1-1-11111-12-12-21-21-12-12-1-1-1-1-1-1222-1-1-11-21-2111111-2-2-2111002i−2i00000000−ii−i2i−ii−2ii0000
χ282-22222-1-2-2-2-21-1-1-1-11111-12-12-21-21-12-12-1-1-1-1-1-1222-1-1-11-21-2111111-2-2-211100−2i2i00000000i−ii−2ii−i2i−i0000
χ292-22222-1-2-2-2-21-1-1-1-11111-1-122-211-2-1-122-1-1-1-1-1-1-1-1-122211-2-2111111111-2-2-2002i−2i00000000−ii−i−i2iii−2i0000
χ302-22222-1-2-2-2-21-1-1-1-11111-1-122-211-2-1-122-1-1-1-1-1-1-1-1-122211-2-2111111111-2-2-200−2i2i00000000i−iii−2i−i−i2i0000
χ312-22-1-1-12-2111-22-1-1-1-21112222-2-2-2-2-1-1-1-12-1-12-1-12-1-12-1-11111-211-211-211-2112i−2i002i−i−i−i−2iiii000000000000
χ322-22-1-1-12-2111-22-1-1-1-21112222-2-2-2-2-1-1-1-12-1-12-1-12-1-12-1-11111-211-211-211-211−2i2i00−2iiii2i−i−i−i000000000000
χ3344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2111111111000000000000000000000000
χ34444444-24444-2-2-2-2-2-2-2-2-24-2-2-2-24-2-24-2-2-2111-2-2-21111114-2-2-2111-2-2-2111111000000000000000000000000
χ35444444-24444-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-24-2-2111111-2-2-2111-24-2-2111111-2-2-2111000000000000000000000000
χ36444444-24444-2-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-24-2111111111-2-2-2-2-24-2111111111-2-2-2000000000000000000000000
χ37444-2-2-244-2-2-244-2-2-24-2-2-2444-2-2444-2-2-21-211-211-211-211-2-2-21-211-211-211-211000000000000000000000000
χ38444-2-2-244-2-2-244-2-2-24-2-2-2-2-2-244-2-2-2111-24-2-2-211-211-211111-24-2-2-211-211-211000000000000000000000000
χ39444-2-2-244-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-21111-2111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i321111-2111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i32000000000000000000000000
χ40444-2-2-244-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-21111-2111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i321111-2111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000000000
χ41444-2-2-2-24-2-2-2-2-2111-21114-2-2444-2-2-211-2-2114-2-2-211-211-211-2-2114-2-2-211-211000000000000000000000000
χ42444-2-2-2-24-2-2-2-2-2111-21114-2-2-2-24-2-2-21111−1−3i32−1+3i32-2111−1−3i32−1+3i321−1+3i32−1−3i32-21111−1−3i32−1+3i32-2111−1−3i32−1+3i321−1+3i32−1−3i32000000000000000000000000
χ43444-2-2-2-24-2-2-2-2-2111-21114-2-2-2-24-2-2-21111−1+3i32−1−3i32-2111−1+3i32−1−3i321−1−3i32−1+3i32-21111−1+3i32−1−3i32-2111−1+3i32−1−3i321−1−3i32−1+3i32000000000000000000000000
χ44444-2-2-2-24-2-2-2-2-2111-2111-24-244-24-21-21-2-211-2114-2-2-2111-21-2-211-2114-2-2-211000000000000000000000000
χ45444-2-2-2-24-2-2-2-2-2111-2111-24-2-2-2-24-21-2111−1−3i32−1+3i321−1+3i32−1−3i32-2111−1−3i32−1+3i321-2111−1−3i32−1+3i321−1+3i32−1−3i32-2111−1−3i32−1+3i32000000000000000000000000
χ46444-2-2-2-24-2-2-2-2-2111-2111-24-2-2-2-24-21-2111−1+3i32−1−3i321−1−3i32−1+3i32-2111−1+3i32−1−3i321-2111−1+3i32−1−3i321−1−3i32−1+3i32-2111−1+3i32−1−3i32000000000000000000000000
χ47444-2-2-2-24-2-2-2-2-2111-2111-2-2444-2-2411-2-2-211-211-2114-2-211-2-2-211-211-2114-2-2000000000000000000000000
χ48444-2-2-2-24-2-2-2-2-2111-2111-2-24-2-2-2-2411-211−1−3i32−1+3i321−1−3i32−1+3i321−1+3i32−1−3i32-21111-211−1−3i32−1+3i321−1−3i32−1+3i321−1+3i32−1−3i32-211000000000000000000000000
χ49444-2-2-2-24-2-2-2-2-2111-2111-2-24-2-2-2-2411-211−1+3i32−1−3i321−1+3i32−1−3i321−1−3i32−1+3i32-21111-211−1+3i32−1−3i321−1+3i32−1−3i321−1−3i32−1+3i32-211000000000000000000000000
χ504-444444-4-4-4-4-44444-4-4-4-4-2-2-2-22222-2-2-2-2-2-2-21111111112222222-1-1-1-1-1-1-1-1-1000000000000000000000000
χ514-44444-2-4-4-4-42-2-2-2-222224-2-2-22-4224-2-2-2111-2-2-2111111-4222-1-1-1222-1-1-1-1-1-1000000000000000000000000
χ524-44444-2-4-4-4-42-2-2-2-22222-24-2-222-42-24-2-2111111-2-2-21112-422-1-1-1-1-1-1222-1-1-1000000000000000000000000
χ534-44444-2-4-4-4-42-2-2-2-22222-2-24-2222-4-2-24-2111111111-2-2-222-42-1-1-1-1-1-1-1-1-1222000000000000000000000000
χ544-44-2-2-24-4222-44-2-2-2-4222444-22-4-4-4-2-2-21-211-211-211-211222-12-1-12-1-12-1-12-1-1000000000000000000000000
χ554-44-2-2-24-4222-44-2-2-2-4222-2-2-24-4222111-24-2-2-211-211-211-1-1-12-4222-1-12-1-12-1-1000000000000000000000000
χ564-44-2-2-24-4222-44-2-2-2-4222-2-2-2-222221111-2111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i32-1-1-1-12-1-1-11+3i321−3i32-11+3i321−3i32-11+3i321−3i32000000000000000000000000
χ574-44-2-2-24-4222-44-2-2-2-4222-2-2-2-222221111-2111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i32-1-1-1-12-1-1-11−3i321+3i32-11−3i321+3i32-11−3i321+3i32000000000000000000000000
χ584-44-2-2-2-2-42222-21112-1-1-14-2-24-4-422-211-2-2114-2-2-211-2112-1-122-1-1-4222-1-12-1-1000000000000000000000000
χ594-44-2-2-2-2-42222-21112-1-1-14-2-2-22-422-21111−1−3i32−1+3i32-2111−1−3i32−1+3i321−1+3i32−1−3i322-1-1-1-11+3i321−3i322-1-1-11+3i321−3i32-11−3i321+3i32000000000000000000000000
χ604-44-2-2-2-2-42222-21112-1-1-14-2-2-22-422-21111−1+3i32−1−3i32-2111−1+3i32−1−3i321−1−3i32−1+3i322-1-1-1-11−3i321+3i322-1-1-11−3i321+3i32-11+3i321−3i32000000000000000000000000
χ614-44-2-2-2-2-42222-21112-1-1-1-24-24-42-421-21-2-211-2114-2-2-211-12-122-1-12-1-1-4222-1-1000000000000000000000000
χ624-44-2-2-2-2-42222-21112-1-1-1-24-2-222-421-2111−1−3i32−1+3i321−1+3i32−1−3i32-2111−1−3i32−1+3i32-12-1-1-11+3i321−3i32-11−3i321+3i322-1-1-11+3i321−3i32000000000000000000000000
χ634-44-2-2-2-2-42222-21112-1-1-1-24-2-222-421-2111−1+3i32−1−3i321−1−3i32−1+3i32-2111−1+3i32−1−3i32-12-1-1-11−3i321+3i32-11+3i321−3i322-1-1-11−3i321+3i32000000000000000000000000
χ644-44-2-2-2-2-42222-21112-1-1-1-2-244-422-411-2-2-211-211-2114-2-2-1-1222-1-12-1-12-1-1-422000000000000000000000000
χ654-44-2-2-2-2-42222-21112-1-1-1-2-24-2222-411-211−1−3i32−1+3i321−1−3i32−1+3i321−1+3i32−1−3i32-211-1-12-1-11+3i321−3i32-11+3i321−3i32-11−3i321+3i322-1-1000000000000000000000000
χ664-44-2-2-2-2-42222-21112-1-1-1-2-24-2222-411-211−1+3i32−1−3i321−1+3i32−1−3i321−1−3i32−1+3i32-211-1-12-1-11−3i321+3i32-11−3i321+3i32-11+3i321−3i322-1-1000000000000000000000000
χ6766-36-3-36-36-3-36-36-3-3-36-3-300000000000000000000000000000000000000002200-12-1-1-12-1-1000000000000
χ6866-36-3-36-36-3-36-36-3-3-36-3-30000000000000000000000000000000000000000-2-2001-2111-211000000000000
χ6966-3-36-36-3-36-36-3-36-3-3-36-300000000000000000000000000000000000000002200-1-12-1-1-12-1000000000000
χ7066-3-36-36-3-36-36-3-36-3-3-36-30000000000000000000000000000000000000000-2-20011-2111-21000000000000
χ7166-3-3-366-3-3-366-3-3-36-3-3-3600000000000000000000000000000000000000002200-1-1-12-1-1-12000000000000
χ7266-3-3-366-3-3-366-3-3-36-3-3-360000000000000000000000000000000000000000-2-200111-2111-2000000000000
χ736-6-36-3-363-633-6-36-3-33-63300000000000000000000000000000000000000002i−2i00−i2i−i−ii−2iii000000000000
χ746-6-36-3-363-633-6-36-3-33-6330000000000000000000000000000000000000000−2i2i00i−2iii−i2i−i−i000000000000
χ756-6-3-36-3633-63-6-3-36-333-6300000000000000000000000000000000000000002i−2i00−i−i2i−iii−2ii000000000000
χ766-6-3-36-3633-63-6-3-36-333-630000000000000000000000000000000000000000−2i2i00ii−2ii−i−i2i−i000000000000
χ776-6-3-3-366333-6-6-3-3-36333-600000000000000000000000000000000000000002i−2i00−i−i−i2iiii−2i000000000000
χ786-6-3-3-366333-6-6-3-3-36333-60000000000000000000000000000000000000000−2i2i00iii−2i−i−i−i2i000000000000
χ791212-612-6-6-6-612-6-6-63-6333-6330000000000000000000000000000000000000000000000000000000000000000
χ801212-6-612-6-6-6-612-6-633-6333-630000000000000000000000000000000000000000000000000000000000000000
χ811212-6-6-612-6-6-6-612-6333-6333-60000000000000000000000000000000000000000000000000000000000000000
χ8212-12-612-6-6-66-126663-633-36-3-30000000000000000000000000000000000000000000000000000000000000000
χ8312-12-6-612-6-666-126633-63-3-36-30000000000000000000000000000000000000000000000000000000000000000
χ8412-12-6-6-612-6666-126333-6-3-3-360000000000000000000000000000000000000000000000000000000000000000

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