Finite Group Databasebeta

← Group #14518835

Character table — Group #14518835

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122222222224444444466666666121212121212121212121212121212121212121212121212121212121212121227272727545454545454545454545454545454548181162162
order1233333666663333666633336666333333333333333366666666666666662244666666661212121212121212441212
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
χ51-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1i−iiii−i−i−ii−ii−i
χ61-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−ii−i−i−iiii−ii−ii
χ71-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111i−iiii−i−i−i−ii−ii
χ81-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111−ii−i−i−iiiii−ii−i
χ922222222222222222222222-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022-1-1
χ1022222222222222222222222-1222-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-211
χ1122222222222222222222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100220000000022-1-1-1-1-1-10000
χ1222222222222222222222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100-2-200000000-2-21111110000
χ132222-1-1-12-1-1-122-1-1-12-1-1-122222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-122002-1-1-12-1-1-1000000000000
χ142222-1-1-12-1-1-122-1-1-12-1-1-122222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-200-2111-2111000000000000
χ1522-122222222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-12-1-12-1-122-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1002200000000-1-12-1-12-1-10000
χ1622-122222222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-12-1-12-1-122-1-1-1-12-1-1-12-1-12-1-122-1-1-1-100-2-20000000011-211-2110000
χ1722-122222222-1-1-1-1-1-1-1-1-1-12-12-12-12-12-1-12-1-1-12-1-1-122-1-1-12-1-12-1-1-12-1-1-122-1-1002200000000-1-1-12-1-12-10000
χ1822-122222222-1-1-1-1-1-1-1-1-1-12-12-12-12-12-1-12-1-1-12-1-1-122-1-1-12-1-12-1-1-12-1-1-122-1-100-2-200000000111-211-210000
χ1922-122222222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12-12-1-1-1-12-1-1-1-122-1-12-12-1-1-1-12-1-1-1-122002200000000-1-1-1-12-1-120000
χ2022-122222222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-12-12-1-1-1-12-1-1-1-122-1-12-12-1-1-1-12-1-1-1-12200-2-2000000001111-211-20000
χ212-222222-2-2-2-2-22222-2-2-2-2222-1-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111111111111000000000000000000002i−2i−ii
χ222-222222-2-2-2-2-22222-2-2-2-2222-1-2-2-21222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111111111100000000000000000000−2i2ii−i
χ232-222222-2-2-2-2-22222-2-2-2-2-1-1-12111-2-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-2111111111002i−2i000000002i−2i−i−i−iiii0000
χ242-222222-2-2-2-2-22222-2-2-2-2-1-1-12111-2-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-211111111100−2i2i00000000−2i2iiii−i−i−i0000
χ252-222-1-1-1-2111-22-1-1-1-21112222-2-2-2-2-1-1-12-1-1-1222-1-1-1-1-1-1111-2111-2-2-21111112-2002-1-1-1-2111000000000000
χ262-222-1-1-1-2111-22-1-1-1-21112222-2-2-2-2-1-1-12-1-1-1222-1-1-1-1-1-1111-2111-2-2-2111111-2200-21112-1-1-1000000000000
χ272-2-12222-2-2-2-21-1-1-1-111112-1-12-211-22-1-1-12-1-12-1-122-1-1-1-1-2111-211-211-2-21111002i−2i00000000−ii2i−i−i−2iii0000
χ282-2-12222-2-2-2-21-1-1-1-111112-1-12-211-22-1-1-12-1-12-1-122-1-1-1-1-2111-211-211-2-2111100−2i2i00000000i−i−2iii2i−i−i0000
χ292-2-12222-2-2-2-21-1-1-1-11111-12-121-21-2-12-1-12-1-1-12-1-1-122-1-11-211-2111-2111-2-211002i−2i00000000−ii−i2i−ii−2ii0000
χ302-2-12222-2-2-2-21-1-1-1-11111-12-121-21-2-12-1-12-1-1-12-1-1-122-1-11-211-2111-2111-2-21100−2i2i00000000i−ii−2ii−i2i−i0000
χ312-2-12222-2-2-2-21-1-1-1-11111-1-12211-2-2-1-12-12-1-1-1-12-1-1-1-12211-21-21111-21111-2-2002i−2i00000000−ii−i−i2iii−2i0000
χ322-2-12222-2-2-2-21-1-1-1-11111-1-12211-2-2-1-12-12-1-1-1-12-1-1-1-12211-21-21111-21111-2-200−2i2i00000000i−iii−2i−i−i2i0000
χ3344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2111111111000000000000000000000000
χ344444-2-2-24-2-2-244-2-2-24-2-2-2444-2444-2-2-2-2-2111-2-2-2111111-2-2-2-2111-2-2-2111111000000000000000000000000
χ354444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-24-2-2-241114-2-2-2-2-2-21111111114-2-2-2-2-2-2111111000000000000000000000000
χ364444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000
χ374444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000
χ3844-244444444-2-2-2-2-2-2-2-2-24-2-2-24-2-2-24-2-21-211-211-2-211114-2-21-211-211-2-21111000000000000000000000000
χ3944-244444444-2-2-2-2-2-2-2-2-2-24-2-2-24-2-2-24-21-2111-2111-2-211-24-21-2111-2111-2-211000000000000000000000000
χ4044-244444444-2-2-2-2-2-2-2-2-2-2-24-2-2-24-2-2-241-21111-21111-2-2-2-241-21111-21111-2-2000000000000000000000000
χ4144-24-2-2-24-2-2-2-2-2111-21114-2-244-2-24-211-2-2114-2-2-2-21111-211-2-2114-2-2-2-21111000000000000000000000000
χ4244-24-2-2-24-2-2-2-2-2111-21114-2-2-24-2-2-2-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i32-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000
χ4344-24-2-2-24-2-2-2-2-2111-21114-2-2-24-2-2-2-21111−1+3i32−1−3i32-21111−1+3i32−1−3i32−1−3i32−1+3i32-21111−1+3i32−1−3i32-21111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000
χ4444-24-2-2-24-2-2-2-2-2111-2111-24-24-24-241-21-2-211-24-211-2-2111-21-2-211-24-211-2-211000000000000000000000000
χ4544-24-2-2-24-2-2-2-2-2111-2111-24-2-2-24-2-21-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i321-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000000
χ4644-24-2-2-24-2-2-2-2-2111-2111-24-2-2-24-2-21-2111−1+3i32−1−3i321-21−1−3i32−1+3i3211−1+3i32−1−3i321-2111−1+3i32−1−3i321-21−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000
χ4744-24-2-2-24-2-2-2-2-2111-2111-2-244-2-24411-2-2-211-2-241111-2-211-2-2-211-2-241111-2-2000000000000000000000000
χ4844-24-2-2-24-2-2-2-2-2111-2111-2-24-2-2-24-211-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i321111-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i3211000000000000000000000000
χ4944-24-2-2-24-2-2-2-2-2111-2111-2-24-2-2-24-211-211−1+3i32−1−3i3211-2−1+3i32−1−3i32−1−3i32−1+3i321111-211−1+3i32−1−3i3211-2−1+3i32−1−3i32−1−3i32−1+3i3211000000000000000000000000
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
χ514-444-2-2-2-4222-44-2-2-2-4222444-2-4-4-42-2-2-2-2111-2-2-21111112222-1-1-1222-1-1-1-1-1-1000000000000000000000000
χ524-444-2-2-2-4222-44-2-2-2-4222-2-2-24222-41114-2-2-2-2-2-2111111-1-1-1-4222222-1-1-1-1-1-1000000000000000000000000
χ534-444-2-2-2-4222-44-2-2-2-4222-2-2-2-22222111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-1-1-12-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32000000000000000000000000
χ544-444-2-2-2-4222-44-2-2-2-4222-2-2-2-22222111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32-1-1-12-1-1-1-1-1-11−3i321+3i321−3i321+3i321−3i321+3i32000000000000000000000000
χ554-4-24444-4-4-4-42-2-2-2-222224-2-2-2-42224-2-21-211-211-2-21111-422-12-1-12-1-122-1-1-1-1000000000000000000000000
χ564-4-24444-4-4-4-42-2-2-2-22222-24-2-22-422-24-21-2111-2111-2-2112-42-12-1-1-12-1-1-122-1-1000000000000000000000000
χ574-4-24444-4-4-4-42-2-2-2-22222-2-24-222-42-2-241-21111-21111-2-222-4-12-1-1-1-12-1-1-1-122000000000000000000000000
χ584-4-24-2-2-2-42222-21112-1-1-14-2-24-422-4-211-2-2114-2-2-2-211112-1-122-1-1-42222-1-1-1-1000000000000000000000000
χ594-4-24-2-2-2-42222-21112-1-1-14-2-2-2-4222-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i322-1-1-1-11+3i321−3i322-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000
χ604-4-24-2-2-2-42222-21112-1-1-14-2-2-2-4222-21111−1+3i32−1−3i32-21111−1+3i32−1−3i32−1−3i32−1+3i322-1-1-1-11−3i321+3i322-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000
χ614-4-24-2-2-2-42222-21112-1-1-1-24-242-42-41-21-2-211-24-211-2-211-12-122-1-12-42-1-122-1-1000000000000000000000000
χ624-4-24-2-2-2-42222-21112-1-1-1-24-2-22-4221-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i32-12-1-1-11+3i321−3i32-12-11−3i321+3i32-1-11+3i321−3i32000000000000000000000000
χ634-4-24-2-2-2-42222-21112-1-1-1-24-2-22-4221-2111−1+3i32−1−3i321-21−1−3i32−1+3i3211−1+3i32−1−3i32-12-1-1-11−3i321+3i32-12-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000
χ644-4-24-2-2-2-42222-21112-1-1-1-2-24422-4-411-2-2-211-2-241111-2-2-1-1222-1-122-4-1-1-1-122000000000000000000000000
χ654-4-24-2-2-2-42222-21112-1-1-1-2-24-222-4211-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i3211-1-12-1-11+3i321−3i32-1-121+3i321−3i321−3i321+3i32-1-1000000000000000000000000
χ664-4-24-2-2-2-42222-21112-1-1-1-2-24-222-4211-211−1+3i32−1−3i3211-2−1+3i32−1−3i32−1−3i32−1+3i3211-1-12-1-11−3i321+3i32-1-121−3i321+3i321+3i321−3i32-1-1000000000000000000000000
χ67666-36-3-3-36-3-36-36-3-3-36-3-300000000000000000000000000000000000000002200-12-1-1-12-1-1000000000000
χ68666-36-3-3-36-3-36-36-3-3-36-3-30000000000000000000000000000000000000000-2-2001-2111-211000000000000
χ69666-3-36-3-3-36-36-3-36-3-3-36-300000000000000000000000000000000000000002200-1-12-1-1-12-1000000000000
χ70666-3-36-3-3-36-36-3-36-3-3-36-30000000000000000000000000000000000000000-2-20011-2111-21000000000000
χ71666-3-3-36-3-3-366-3-3-36-3-3-3600000000000000000000000000000000000000002200-1-1-12-1-1-12000000000000
χ72666-3-3-36-3-3-366-3-3-36-3-3-360000000000000000000000000000000000000000-2-200111-2111-2000000000000
χ736-66-36-3-33-633-6-36-3-33-63300000000000000000000000000000000000000002-200-12-1-11-211000000000000
χ746-66-36-3-33-633-6-36-3-33-6330000000000000000000000000000000000000000-22001-211-12-1-1000000000000
χ756-66-3-36-333-63-6-3-36-333-6300000000000000000000000000000000000000002-200-1-12-111-21000000000000
χ766-66-3-36-333-63-6-3-36-333-630000000000000000000000000000000000000000-220011-21-1-12-1000000000000
χ776-66-3-3-36333-6-6-3-3-36333-600000000000000000000000000000000000000002-200-1-1-12111-2000000000000
χ786-66-3-3-36333-6-6-3-3-36333-60000000000000000000000000000000000000000-2200111-2-1-1-12000000000000
χ791212-6-612-6-6-612-6-6-63-6333-6330000000000000000000000000000000000000000000000000000000000000000
χ801212-6-6-612-6-6-612-6-633-6333-630000000000000000000000000000000000000000000000000000000000000000
χ811212-6-6-6-612-6-6-612-6333-6333-60000000000000000000000000000000000000000000000000000000000000000
χ8212-12-6-612-6-66-126663-633-36-3-30000000000000000000000000000000000000000000000000000000000000000
χ8312-12-6-6-612-666-126633-63-3-36-30000000000000000000000000000000000000000000000000000000000000000
χ8412-12-6-6-6-612666-126333-6-3-3-360000000000000000000000000000000000000000000000000000000000000000

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