Finite Group Databasebeta

← Group #14518838

Character table — Group #14518838

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222244444444666666661212121212121212121212121212121212121212121212121212121212121212545454545454545454545454545454545454162162162
order12333336666633336666333366663333333333333333666666666666666622666666666666666641212
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
χ5222222222222222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020000000022-1-1-1-1-1-1000
χ6222222222222222222222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-200000000-2-2111111000
χ722222222222222222222-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-10000000000000000002-1-1
χ822222222222222222222-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000000-211
χ9222222-12222-1-1-1-1-1-1-1-1-122-1-12-1-122-1-1-12-1-1222-1-1-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-10200000000-1-122-1-1-1-1000
χ10222222-12222-1-1-1-1-1-1-1-1-122-1-12-1-122-1-1-12-1-1222-1-1-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-10-20000000011-2-21111000
χ11222222-12222-1-1-1-1-1-1-1-1-12-12-1-12-122-1-1-1-12-1-1-1-1222-1-1-12-1-1-1-12-1-1-1-1222-1-1-10200000000-1-1-1-122-1-1000
χ12222222-12222-1-1-1-1-1-1-1-1-12-12-1-12-122-1-1-1-12-1-1-1-1222-1-1-12-1-1-1-12-1-1-1-1222-1-1-10-2000000001111-2-211000
χ13222222-12222-1-1-1-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-1-12220200000000-1-1-1-1-1-122000
χ14222222-12222-1-1-1-1-1-1-1-1-12-1-12-1-1222-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-12-1-1-1-1-1-12220-200000000111111-2-2000
χ15222-1-1-122-1-1-122-1-1-12-1-1-122222222-12-1-1-1-1-12-1-12-1-12-1-1-12-1-1-1-1-12-1-12-1-12-1-12022-1-1-1-1-1-100000000000
χ16222-1-1-122-1-1-122-1-1-12-1-1-122222222-12-1-1-1-1-12-1-12-1-12-1-1-12-1-1-1-1-12-1-12-1-12-1-1-20-2-211111100000000000
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
χ182-222222-2-2-2-2-22222-2-2-2-22-1-1-1111-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000−i3i3−i3i3−i3i3000
χ192-222222-2-2-2-2-22222-2-2-2-22-1-1-1111-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000i3−i3i3−i3i3−i3000
χ202-222222-2-2-2-2-22222-2-2-2-2-1222-2-2-21-1-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-211111111100000000000000000003−3
χ212-222222-2-2-2-2-22222-2-2-2-2-1222-2-2-21-1-1-1-1222-1-1-1-1-1-1-1-1-11111-2-2-21111111110000000000000000000−33
χ222-22222-1-2-2-2-21-1-1-1-1111122-1-1-211-22-1-1-12-1-1222-1-1-1-1-1-1-2111-211-2-2-21111110000000000−i3i300−i3i3i3−i3000
χ232-22222-1-2-2-2-21-1-1-1-1111122-1-1-211-22-1-1-12-1-1222-1-1-1-1-1-1-2111-211-2-2-21111110000000000i3−i300i3−i3−i3i3000
χ242-22222-1-2-2-2-21-1-1-1-111112-12-11-21-22-1-1-1-12-1-1-1-1222-1-1-1-21111-21111-2-2-21110000000000−i3i3i3−i300−i3i3000
χ252-22222-1-2-2-2-21-1-1-1-111112-12-11-21-22-1-1-1-12-1-1-1-1222-1-1-1-21111-21111-2-2-21110000000000i3−i3−i3i300i3−i3000
χ262-22222-1-2-2-2-21-1-1-1-111112-1-1211-2-22-1-1-1-1-12-1-1-1-1-1-1222-211111-2111111-2-2-20000000000−i3i3−i3i3i3−i300000
χ272-22222-1-2-2-2-21-1-1-1-111112-1-1211-2-22-1-1-1-1-12-1-1-1-1-1-1222-211111-2111111-2-2-20000000000i3−i3i3−i3−i3i300000
χ282-22-1-1-12-2111-22-1-1-1-21112222-2-2-2-2-12-1-1-1-1-12-1-12-1-12-1-11-211111-211-211-2110000−i3−i3−i3i3i3i300000000000
χ292-22-1-1-12-2111-22-1-1-1-21112222-2-2-2-2-12-1-1-1-1-12-1-12-1-12-1-11-211111-211-211-2110000i3i3i3−i3−i3−i300000000000
χ3044444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111-2-2-2-2-2-2-2111111111000000000000000000000
χ31444444-24444-2-2-2-2-2-2-2-2-2-24-2-24-2-2-2-21114-2-2-2-2-2111111-21114-2-2-2-2-2111111000000000000000000000
χ32444444-24444-2-2-2-2-2-2-2-2-2-2-24-2-24-2-2-2111-24-2111-2-2-2111-2111-24-2111-2-2-2111000000000000000000000
χ33444444-24444-2-2-2-2-2-2-2-2-2-2-2-24-2-24-2-2111-2-24111111-2-2-2-2111-2-24111111-2-2-2000000000000000000000
χ34444-2-2-244-2-2-244-2-2-24-2-2-24-2-2-2-2-2-24-24-2-2111-211-211-211-24-2-2111-211-211-211000000000000000000000
χ35444-2-2-244-2-2-244-2-2-24-2-2-2-2444444-21-211-2-2-2-211-211-2111-211-2-2-2-211-211-211000000000000000000000
χ36444-2-2-244-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-21-2111111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i321-2111111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i32000000000000000000000
χ37444-2-2-244-2-2-244-2-2-24-2-2-2-2-2-2-2-2-2-2-21-2111111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i321-2111111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000000
χ38444-2-2-2-24-2-2-2-2-2111-211144-2-24-2-24-2-211-2114-2-2-211-211-2-211-2114-2-2-211-211000000000000000000000
χ39444-2-2-2-24-2-2-2-2-2111-21114-24-2-24-24-2-2111-21-2114-2-2-211-2-2111-21-2114-2-2-211000000000000000000000
χ40444-2-2-2-24-2-2-2-2-2111-21114-2-24-2-244-2-21111-2-211-2114-2-2-2-21111-2-211-2114-2-2000000000000000000000
χ41444-2-2-2-24-2-2-2-2-2111-2111-24-2-24-2-2-211−1−3i32−1+3i32-211-2111−1−3i32−1+3i321−1+3i32−1−3i3211−1−3i32−1+3i32-211-2111−1−3i32−1+3i321−1+3i32−1−3i32000000000000000000000
χ42444-2-2-2-24-2-2-2-2-2111-2111-24-2-24-2-2-211−1+3i32−1−3i32-211-2111−1+3i32−1−3i321−1−3i32−1+3i3211−1+3i32−1−3i32-211-2111−1+3i32−1−3i321−1−3i32−1+3i32000000000000000000000
χ43444-2-2-2-24-2-2-2-2-2111-2111-2-24-2-24-2-211−1−3i32−1+3i321-211−1+3i32−1−3i32-2111−1−3i32−1+3i3211−1−3i32−1+3i321-211−1+3i32−1−3i32-2111−1−3i32−1+3i32000000000000000000000
χ44444-2-2-2-24-2-2-2-2-2111-2111-2-24-2-24-2-211−1+3i32−1−3i321-211−1−3i32−1+3i32-2111−1+3i32−1−3i3211−1+3i32−1−3i321-211−1−3i32−1+3i32-2111−1+3i32−1−3i32000000000000000000000
χ45444-2-2-2-24-2-2-2-2-2111-2111-2-2-24-2-24-211−1−3i32−1+3i3211-21−1−3i32−1+3i321−1+3i32−1−3i32-21111−1−3i32−1+3i3211-21−1−3i32−1+3i321−1+3i32−1−3i32-211000000000000000000000
χ46444-2-2-2-24-2-2-2-2-2111-2111-2-2-24-2-24-211−1+3i32−1−3i3211-21−1+3i32−1−3i321−1−3i32−1+3i32-21111−1+3i32−1−3i3211-21−1+3i32−1−3i321−1−3i32−1+3i32-211000000000000000000000
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
χ484-44444-2-4-4-4-42-2-2-2-22222-24-2-2-4222-21114-2-2-2-2-21111112-1-1-1-422222-1-1-1-1-1-1000000000000000000000
χ494-44444-2-4-4-4-42-2-2-2-22222-2-24-22-422-2111-24-2111-2-2-21112-1-1-12-42-1-1-1222-1-1-1000000000000000000000
χ504-44444-2-4-4-4-42-2-2-2-22222-2-2-2422-42-2111-2-24111111-2-2-22-1-1-122-4-1-1-1-1-1-1222000000000000000000000
χ514-44-2-2-24-4222-44-2-2-2-42224-2-2-2222-4-24-2-2111-211-211-2112-422-1-1-12-1-12-1-12-1-1000000000000000000000
χ524-44-2-2-24-4222-44-2-2-2-4222-2444-4-4-421-211-2-2-2-211-211-211-12-1-12222-1-12-1-12-1-1000000000000000000000
χ534-44-2-2-24-4222-44-2-2-2-4222-2-2-2-222221-2111111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i32-12-1-1-1-1-1-11+3i321−3i32-11+3i321−3i32-11+3i321−3i32000000000000000000000
χ544-44-2-2-24-4222-44-2-2-2-4222-2-2-2-222221-2111111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i32-12-1-1-1-1-1-11−3i321+3i32-11−3i321+3i32-11−3i321+3i32000000000000000000000
χ554-44-2-2-2-2-42222-21112-1-1-144-2-2-422-4-2-211-2114-2-2-211-21122-1-12-1-1-4222-1-12-1-1000000000000000000000
χ564-44-2-2-2-2-42222-21112-1-1-14-24-22-42-4-2-2111-21-2114-2-2-21122-1-1-12-12-1-1-4222-1-1000000000000000000000
χ574-44-2-2-2-2-42222-21112-1-1-14-2-2422-4-4-2-21111-2-211-2114-2-222-1-1-1-122-1-12-1-1-422000000000000000000000
χ584-44-2-2-2-2-42222-21112-1-1-1-24-2-2-422211−1−3i32−1+3i32-211-2111−1−3i32−1+3i321−1+3i32−1−3i32-1-11+3i321−3i322-1-12-1-1-11+3i321−3i32-11−3i321+3i32000000000000000000000
χ594-44-2-2-2-2-42222-21112-1-1-1-24-2-2-422211−1+3i32−1−3i32-211-2111−1+3i32−1−3i321−1−3i32−1+3i32-1-11−3i321+3i322-1-12-1-1-11−3i321+3i32-11+3i321−3i32000000000000000000000
χ604-44-2-2-2-2-42222-21112-1-1-1-2-24-22-42211−1−3i32−1+3i321-211−1+3i32−1−3i32-2111−1−3i32−1+3i32-1-11+3i321−3i32-12-1-11−3i321+3i322-1-1-11+3i321−3i32000000000000000000000
χ614-44-2-2-2-2-42222-21112-1-1-1-2-24-22-42211−1+3i32−1−3i321-211−1−3i32−1+3i32-2111−1+3i32−1−3i32-1-11−3i321+3i32-12-1-11+3i321−3i322-1-1-11−3i321+3i32000000000000000000000
χ624-44-2-2-2-2-42222-21112-1-1-1-2-2-2422-4211−1−3i32−1+3i3211-21−1−3i32−1+3i321−1+3i32−1−3i32-211-1-11+3i321−3i32-1-12-11+3i321−3i32-11−3i321+3i322-1-1000000000000000000000
χ634-44-2-2-2-2-42222-21112-1-1-1-2-2-2422-4211−1+3i32−1−3i3211-21−1+3i32−1−3i321−1−3i32−1+3i32-211-1-11−3i321+3i32-1-12-11−3i321+3i32-11+3i321−3i322-1-1000000000000000000000
χ6466-36-3-36-36-3-36-36-3-3-36-3-3000000000000000000000000000000000000000020-1-12-1-12-1-100000000000
χ6566-36-3-36-36-3-36-36-3-3-36-3-30000000000000000000000000000000000000000-2011-211-21100000000000
χ6666-3-36-36-3-36-36-3-36-3-3-36-3000000000000000000000000000000000000000020-1-1-12-1-12-100000000000
χ6766-3-36-36-3-36-36-3-36-3-3-36-30000000000000000000000000000000000000000-20111-211-2100000000000
χ6866-3-3-366-3-3-366-3-3-36-3-3-36000000000000000000000000000000000000000020-1-1-1-12-1-1200000000000
χ6966-3-3-366-3-3-366-3-3-36-3-3-360000000000000000000000000000000000000000-201111-211-200000000000
χ706-6-36-3-363-633-6-36-3-33-633000000000000000000000000000000000000000000−i3i30−i3i30i3−i300000000000
χ716-6-36-3-363-633-6-36-3-33-633000000000000000000000000000000000000000000i3−i30i3−i30−i3i300000000000
χ726-6-3-36-3633-63-6-3-36-333-63000000000000000000000000000000000000000000−i3i3i30−i3−i30i300000000000
χ736-6-3-36-3633-63-6-3-36-333-63000000000000000000000000000000000000000000i3−i3−i30i3i30−i300000000000
χ746-6-3-3-366333-6-6-3-3-36333-6000000000000000000000000000000000000000000−i3i3−i3i30i3−i3000000000000
χ756-6-3-3-366333-6-6-3-3-36333-6000000000000000000000000000000000000000000i3−i3i3−i30−i3i3000000000000
χ761212-612-6-6-6-612-6-6-63-6333-6330000000000000000000000000000000000000000000000000000000000000
χ771212-6-612-6-6-6-612-6-633-6333-630000000000000000000000000000000000000000000000000000000000000
χ781212-6-6-612-6-6-6-612-6333-6333-60000000000000000000000000000000000000000000000000000000000000
χ7912-12-612-6-6-66-126663-633-36-3-30000000000000000000000000000000000000000000000000000000000000
χ8012-12-6-612-6-666-126633-63-3-36-30000000000000000000000000000000000000000000000000000000000000
χ8112-12-6-6-612-6666-126333-6-3-3-360000000000000000000000000000000000000000000000000000000000000

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