Finite Group Databasebeta

← Group #14518837

Character table — Group #14518837

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222244444444666666661212121212121212121212121212121212121212121212121212121212121212545454545454545454545454545454545454162162162
order12333336666633336666333366663333333333333333666666666666666624666666661212121212121212266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ522222222222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002-1-1
χ622222222222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-211
χ722222222222222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1020000000022-1-1-1-1-1-1000
χ822222222222222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-10-200000000-2-2111111000
χ92222-1-1-12-1-1-122-1-1-12-1-1-122222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12022-1-1-1-1-1-100000000000
χ102222-1-1-12-1-1-122-1-1-12-1-1-122222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-20-2-211111100000000000
χ1122-122222222-1-1-1-1-1-1-1-1-12-1-1222-1-12-1-1-12-1-12-1-122-1-1-1-12-1-1-12-1-12-1-122-1-1-1-10200000000-1-122-1-1-1-1000
χ1222-122222222-1-1-1-1-1-1-1-1-12-1-1222-1-12-1-1-12-1-12-1-122-1-1-1-12-1-1-12-1-12-1-122-1-1-1-10-20000000011-2-21111000
χ1322-122222222-1-1-1-1-1-1-1-1-1-12-122-12-1-12-1-12-1-1-12-1-1-122-1-1-12-1-12-1-1-12-1-1-122-1-10200000000-1-1-1-122-1-1000
χ1422-122222222-1-1-1-1-1-1-1-1-1-12-122-12-1-12-1-12-1-1-12-1-1-122-1-1-12-1-12-1-1-12-1-1-122-1-10-2000000001111-2-211000
χ1522-122222222-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-12-12-1-1-1-12-1-1-1-122-1-12-12-1-1-1-12-1-1-1-1220200000000-1-1-1-1-1-122000
χ1622-122222222-1-1-1-1-1-1-1-1-1-1-1222-1-12-1-12-12-1-1-1-12-1-1-1-122-1-12-12-1-1-1-12-1-1-1-1220-200000000111111-2-2000
χ172-222222-2-2-2-2-22222-2-2-2-22222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000
χ182-222222-2-2-2-2-22222-2-2-2-2222-11-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111111111110000000000000000000−i3i3
χ192-222222-2-2-2-2-22222-2-2-2-2222-11-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111111111110000000000000000000i3−i3
χ202-222222-2-2-2-2-22222-2-2-2-2-1-1-12-2111-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-21111111110000000000003−33−33−3000
χ212-222222-2-2-2-2-22222-2-2-2-2-1-1-12-2111-1-1-12222-1-1-1-1-1-1-1-1-1111-2-2-2-2111111111000000000000−33−33−33000
χ222-222-1-1-1-2111-22-1-1-1-21112222-2-2-2-2-1-1-12-1-1-1222-1-1-1-1-1-1111-2111-2-2-21111110000−i3−i3−i3i3i3i300000000000
χ232-222-1-1-1-2111-22-1-1-1-21112222-2-2-2-2-1-1-12-1-1-1222-1-1-1-1-1-1111-2111-2-2-21111110000i3i3i3−i3−i3−i300000000000
χ242-2-12222-2-2-2-21-1-1-1-111112-1-12-2-2112-1-1-12-1-12-1-122-1-1-1-1-2111-211-211-2-2111100000000003−3003−3−33000
χ252-2-12222-2-2-2-21-1-1-1-111112-1-12-2-2112-1-1-12-1-12-1-122-1-1-1-1-2111-211-211-2-211110000000000−3300−333−3000
χ262-2-12222-2-2-2-21-1-1-1-11111-12-12-21-21-12-1-12-1-1-12-1-1-122-1-11-211-2111-2111-2-21100000000003−3−33003−3000
χ272-2-12222-2-2-2-21-1-1-1-11111-12-12-21-21-12-1-12-1-1-12-1-1-122-1-11-211-2111-2111-2-2110000000000−333−300−33000
χ282-2-12222-2-2-2-21-1-1-1-11111-1-122-211-2-1-12-12-1-1-1-12-1-1-1-12211-21-21111-21111-2-200000000003−33−3−3300000
χ292-2-12222-2-2-2-21-1-1-1-11111-1-122-211-2-1-12-12-1-1-1-12-1-1-1-12211-21-21111-21111-2-20000000000−33−333−300000
χ3044444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2111111111000000000000000000000
χ314444-2-2-24-2-2-244-2-2-24-2-2-2444-2-2444-2-2-2-2111-2-2-2111111-2-2-2-2111-2-2-2111111000000000000000000000
χ324444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-244-2-2-21114-2-2-2-2-2-21111111114-2-2-2-2-2-2111111000000000000000000000
χ334444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-2111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000
χ344444-2-2-24-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-2111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32111-2111111−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000
χ3544-244444444-2-2-2-2-2-2-2-2-24-2-2-2-24-2-24-2-21-211-211-2-211114-2-21-211-211-2-21111000000000000000000000
χ3644-244444444-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-24-21-2111-2111-2-211-24-21-2111-2111-2-211000000000000000000000
χ3744-244444444-2-2-2-2-2-2-2-2-2-2-24-2-2-2-24-2-241-21111-21111-2-2-2-241-21111-21111-2-2000000000000000000000
χ3844-24-2-2-24-2-2-2-2-2111-21114-2-2444-2-2-211-2-2114-2-2-2-21111-211-2-2114-2-2-2-21111000000000000000000000
χ3944-24-2-2-24-2-2-2-2-2111-21114-2-2-2-24-2-2-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i32-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000
χ4044-24-2-2-24-2-2-2-2-2111-21114-2-2-2-24-2-2-21111−1+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+3i32000000000000000000000
χ4144-24-2-2-24-2-2-2-2-2111-2111-24-244-24-21-21-2-211-24-211-2-2111-21-2-211-24-211-2-211000000000000000000000
χ4244-24-2-2-24-2-2-2-2-2111-2111-24-2-2-2-24-21-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i321-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000
χ4344-24-2-2-24-2-2-2-2-2111-2111-24-2-2-2-24-21-2111−1+3i32−1−3i321-21−1−3i32−1+3i3211−1+3i32−1−3i321-2111−1+3i32−1−3i321-21−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000
χ4444-24-2-2-24-2-2-2-2-2111-2111-2-2444-2-2411-2-2-211-2-241111-2-211-2-2-211-2-241111-2-2000000000000000000000
χ4544-24-2-2-24-2-2-2-2-2111-2111-2-24-2-2-2-2411-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i321111-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i3211000000000000000000000
χ4644-24-2-2-24-2-2-2-2-2111-2111-2-24-2-2-2-2411-211−1+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+3i3211000000000000000000000
χ474-444444-4-4-4-4-44444-4-4-4-4-2-2-2-22222-2-2-2-2-2-2-21111111112222222-1-1-1-1-1-1-1-1-1000000000000000000000
χ484-444-2-2-2-4222-44-2-2-2-4222444-22-4-4-4-2-2-2-2111-2-2-21111112222-1-1-1222-1-1-1-1-1-1000000000000000000000
χ494-444-2-2-2-4222-44-2-2-2-4222-2-2-24-42221114-2-2-2-2-2-2111111-1-1-1-4222222-1-1-1-1-1-1000000000000000000000
χ504-444-2-2-2-4222-44-2-2-2-4222-2-2-2-22222111-2111111−1−3i32−1+3i32−1−3i32−1+3i32−1−3i32−1+3i32-1-1-12-1-1-1-1-1-11+3i321−3i321+3i321−3i321+3i321−3i32000000000000000000000
χ514-444-2-2-2-4222-44-2-2-2-4222-2-2-2-22222111-2111111−1+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+3i32000000000000000000000
χ524-4-24444-4-4-4-42-2-2-2-222224-2-2-22-4224-2-21-211-211-2-21111-422-12-1-12-1-122-1-1-1-1000000000000000000000
χ534-4-24444-4-4-4-42-2-2-2-22222-24-2-222-42-24-21-2111-2111-2-2112-42-12-1-1-12-1-1-122-1-1000000000000000000000
χ544-4-24444-4-4-4-42-2-2-2-22222-2-24-2222-4-2-241-21111-21111-2-222-4-12-1-1-1-12-1-1-1-122000000000000000000000
χ554-4-24-2-2-2-42222-21112-1-1-14-2-24-4-422-211-2-2114-2-2-2-211112-1-122-1-1-42222-1-1-1-1000000000000000000000
χ564-4-24-2-2-2-42222-21112-1-1-14-2-2-22-422-21111−1−3i32−1+3i32-21111−1−3i32−1+3i32−1+3i32−1−3i322-1-1-1-11+3i321−3i322-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000
χ574-4-24-2-2-2-42222-21112-1-1-14-2-2-22-422-21111−1+3i32−1−3i32-21111−1+3i32−1−3i32−1−3i32−1+3i322-1-1-1-11−3i321+3i322-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000
χ584-4-24-2-2-2-42222-21112-1-1-1-24-24-42-421-21-2-211-24-211-2-211-12-122-1-12-42-1-122-1-1000000000000000000000
χ594-4-24-2-2-2-42222-21112-1-1-1-24-2-222-421-2111−1−3i32−1+3i321-21−1+3i32−1−3i3211−1−3i32−1+3i32-12-1-1-11+3i321−3i32-12-11−3i321+3i32-1-11+3i321−3i32000000000000000000000
χ604-4-24-2-2-2-42222-21112-1-1-1-24-2-222-421-2111−1+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+3i32000000000000000000000
χ614-4-24-2-2-2-42222-21112-1-1-1-2-244-422-411-2-2-211-2-241111-2-2-1-1222-1-122-4-1-1-1-122000000000000000000000
χ624-4-24-2-2-2-42222-21112-1-1-1-2-24-2222-411-211−1−3i32−1+3i3211-2−1−3i32−1+3i32−1+3i32−1−3i3211-1-12-1-11+3i321−3i32-1-121+3i321−3i321−3i321+3i32-1-1000000000000000000000
χ634-4-24-2-2-2-42222-21112-1-1-1-2-24-2222-411-211−1+3i32−1−3i3211-2−1+3i32−1−3i32−1−3i32−1+3i3211-1-12-1-11−3i321+3i32-1-121−3i321+3i321+3i321−3i32-1-1000000000000000000000
χ64666-36-3-3-36-3-36-36-3-3-36-3-3000000000000000000000000000000000000000020-1-12-1-12-1-100000000000
χ65666-36-3-3-36-3-36-36-3-3-36-3-30000000000000000000000000000000000000000-2011-211-21100000000000
χ66666-3-36-3-3-36-36-3-36-3-3-36-3000000000000000000000000000000000000000020-1-1-12-1-12-100000000000
χ67666-3-36-3-3-36-36-3-36-3-3-36-30000000000000000000000000000000000000000-20111-211-2100000000000
χ68666-3-3-36-3-3-366-3-3-36-3-3-36000000000000000000000000000000000000000020-1-1-1-12-1-1200000000000
χ69666-3-3-36-3-3-366-3-3-36-3-3-360000000000000000000000000000000000000000-201111-211-200000000000
χ706-66-36-3-33-633-6-36-3-33-633000000000000000000000000000000000000000000−i3i30−i3i30i3−i300000000000
χ716-66-36-3-33-633-6-36-3-33-633000000000000000000000000000000000000000000i3−i30i3−i30−i3i300000000000
χ726-66-3-36-333-63-6-3-36-333-63000000000000000000000000000000000000000000−i3i3i30−i3−i30i300000000000
χ736-66-3-36-333-63-6-3-36-333-63000000000000000000000000000000000000000000i3−i3−i30i3i30−i300000000000
χ746-66-3-3-36333-6-6-3-3-36333-6000000000000000000000000000000000000000000−i3i3−i3i30i3−i3000000000000
χ756-66-3-3-36333-6-6-3-3-36333-6000000000000000000000000000000000000000000i3−i3i3−i30−i3i3000000000000
χ761212-6-612-6-6-612-6-6-63-6333-6330000000000000000000000000000000000000000000000000000000000000
χ771212-6-6-612-6-6-612-6-633-6333-630000000000000000000000000000000000000000000000000000000000000
χ781212-6-6-6-612-6-6-612-6333-6333-60000000000000000000000000000000000000000000000000000000000000
χ7912-12-6-612-6-66-126663-633-36-3-30000000000000000000000000000000000000000000000000000000000000
χ8012-12-6-6-612-666-126633-63-3-36-30000000000000000000000000000000000000000000000000000000000000
χ8112-12-6-6-6-612666-126333-6-3-3-360000000000000000000000000000000000000000000000000000000000000

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