Finite Group Databasebeta

← Group #13048673

Character table — Group #13048673

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111112222222224446666666666666612121212121212121212121212121212121212121818181818182727272727273636363636363636363636363636545454
order12336633346661212121212333344666612121212333366661212121212121212121212124412121212226666121212121212121212121212121241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ31111111111111111111111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111-1111-1-1-1-1-111111-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111111-1-1-11111-1-1-1-1-1-1-1
χ6111111111-1111-1-1-1-1-111111-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111
χ7111111111-1111-1-1-1-1-11111-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111
χ8111111111-1111-1-1-1-1-11111-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1111-1-1-1-11111-1-1-1
χ92222222222222222222-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000000002-1-1-12-1-1-1000
χ102222222222222222222-1-1-1-2-22-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000000000000-2111-2111000
χ11222222222222222222-12-1-122-12-1-12222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000000000000-12-1-1-12-1-1000
χ12222222222222222222-12-1-1-2-2-12-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000000000001-2111-211000
χ13222222222222222222-1-12-122-1-12-12222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000000000000-1-12-1-1-12-1000
χ14222222222222222222-1-12-1-2-2-1-12-1-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-100000000000000000011-2111-21000
χ15222222222222222222-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000000000000-1-1-12-1-1-12000
χ16222222222222222222-1-1-12-2-2-1-1-12-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000000000000111-2111-2000
χ17222222222-2222-2-2-2-2-22-1-1-12-22-1-1-122-2-22-1-1-12-1-1-1-2111-2-21111110000000000000000002-1-1-1-2111000
χ18222222222-2222-2-2-2-2-22-1-1-1-222-1-1-1-2-2222-1-1-12-1-1-1-2111-2-2111111000000000000000000-21112-1-1-1000
χ19222222222-2222-2-2-2-2-2-12-1-12-2-12-1-122-2-2-12-1-1-12-1-11-21111-2-21111000000000000000000-12-1-11-211000
χ20222222222-2222-2-2-2-2-2-12-1-1-22-12-1-1-2-222-12-1-1-12-1-11-21111-2-211110000000000000000001-211-12-1-1000
χ21222222222-2222-2-2-2-2-2-1-12-12-2-1-12-122-2-2-1-12-1-1-12-111-211111-2-211000000000000000000-1-12-111-21000
χ22222222222-2222-2-2-2-2-2-1-12-1-22-1-12-1-2-222-1-12-1-1-12-111-211111-2-21100000000000000000011-21-1-12-1000
χ23222222222-2222-2-2-2-2-2-1-1-122-2-1-1-1222-2-2-1-1-12-1-1-12111-2111111-2-2000000000000000000-1-1-12111-2000
χ24222222222-2222-2-2-2-2-2-1-1-12-22-1-1-12-2-222-1-1-12-1-1-12111-2111111-2-2000000000000000000111-2-1-1-12000
χ25222222-1-1-12-1-1-122-1-1-122220022220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222000000-1-1-1-1-1-100000000000
χ26222222-1-1-12-1-1-122-1-1-122220022220000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-200000011111100000000000
χ27222222-1-1-1-2-1-1-1-2-211122220022220000-1-1-1-1-1-1-1-1-2-2-2-2111111112-222-2-2000000-1-1-111100000000000
χ28222222-1-1-1-2-1-1-1-2-211122220022220000-1-1-1-1-1-1-1-1-2-2-2-211111111-22-2-222000000111-1-1-100000000000
χ292-222-2-22220-2-2-200000222200-2-2-2-200002222-2-2-2-20000000000000000002-222-2-200000000000000000
χ302-222-2-22220-2-2-200000222200-2-2-2-200002222-2-2-2-2000000000000000000-22-2-22200000000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000330000−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000011−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000001−1−i32−1+i32
χ3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000330000−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3200000000-11+i321−i32
χ3333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000-3-300003+3i323−3i323+3i323−3i320000000000000000000011−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i3200000000-11+i321−i32
χ3433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i320000-3-300003+3i323−3i323+3i323−3i3200000000000000000000-1-11+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i32000000001−1−i32−1+i32
χ3533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i32-33+3i323−3i3200003-30000−3−3i32−3+3i323+3i323−3i32000000000000000000001-1−1−i32−1+i321+i321−i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-11+i321−i3200000000-11+i321−i32
χ3633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i32-33+3i323−3i3200003-30000−3−3i32−3+3i323+3i323−3i3200000000000000000000-111+i321−i32−1−i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i321−1−i32−1+i32000000001−1−i32−1+i32
χ3733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i32-33+3i323−3i320000-3300003+3i323−3i32−3−3i32−3+3i32000000000000000000001-1−1−i32−1+i321+i321−i32-1-11+i321−i321+i321−i321−1−i32−1+i32-11+i321−i32000000001−1−i32−1+i32
χ3833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i32-33+3i323−3i320000-3300003+3i323−3i32−3−3i32−3+3i3200000000000000000000-111+i321−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11+i321−i321−1−i32−1+i3200000000-11+i321−i32
χ3933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000330000−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000011−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000001−1+i32−1−i32
χ4033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000330000−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3200000000-11−i321+i32
χ4133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000-3-300003−3i323+3i323−3i323+3i320000000000000000000011−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i3200000000-11−i321+i32
χ4233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i320000-3-300003−3i323+3i323−3i323+3i3200000000000000000000-1-11−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32-11−i321+i32-11−i321+i32000000001−1+i32−1−i32
χ4333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i32-33−3i323+3i3200003-30000−3+3i32−3−3i323−3i323+3i32000000000000000000001-1−1+i32−1−i321−i321+i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-11−i321+i3200000000-11−i321+i32
χ4433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i32-33−3i323+3i3200003-30000−3+3i32−3−3i323−3i323+3i3200000000000000000000-111−i321+i32−1+i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i321−1+i32−1−i32000000001−1+i32−1−i32
χ4533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i32-33−3i323+3i320000-3300003−3i323+3i32−3+3i32−3−3i32000000000000000000001-1−1+i32−1−i321−i321+i32-1-11−i321+i321−i321+i321−1+i32−1−i32-11−i321+i32000000001−1+i32−1−i32
χ4633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i32-33−3i323+3i320000-3300003−3i323+3i32−3+3i32−3−3i3200000000000000000000-111−i321+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11−i321+i321−1+i32−1−i3200000000-11−i321+i32
χ47444444-2-2-24-2-2-244-2-2-24-2-2-2004-2-2-20000-2111-21114-2-2-2-2-211111100000000000000000000000000000
χ48444444-2-2-24-2-2-244-2-2-2-24-2-200-24-2-200001-2111-211-24-2-211-2-2111100000000000000000000000000000
χ49444444-2-2-24-2-2-244-2-2-2-2-24-200-2-24-2000011-2111-21-2-24-21111-2-21100000000000000000000000000000
χ50444444-2-2-24-2-2-244-2-2-2-2-2-2400-2-2-240000111-2111-2-2-2-24111111-2-200000000000000000000000000000
χ51444444-2-2-2-4-2-2-2-4-42224-2-2-2004-2-2-20000-2111-2111-422222-1-1-1-1-1-100000000000000000000000000000
χ52444444-2-2-2-4-2-2-2-4-4222-24-2-200-24-2-200001-2111-2112-422-1-122-1-1-1-100000000000000000000000000000
χ53444444-2-2-2-4-2-2-2-4-4222-2-24-200-2-24-2000011-2111-2122-42-1-1-1-122-1-100000000000000000000000000000
χ54444444-2-2-2-4-2-2-2-4-4222-2-2-2400-2-2-240000111-2111-2222-4-1-1-1-1-1-12200000000000000000000000000000
χ554-444-4-44440-4-4-4000004-2-2-200-422200004-2-2-2-422200000000000000000000000000000000000000000
χ564-444-4-44440-4-4-400000-24-2-2002-4220000-24-2-22-42200000000000000000000000000000000000000000
χ574-444-4-44440-4-4-400000-2-24-20022-420000-2-24-222-4200000000000000000000000000000000000000000
χ584-444-4-44440-4-4-400000-2-2-2400222-40000-2-2-24222-400000000000000000000000000000000000000000
χ594-444-4-4-2-2-2022200000444400-4-4-4-40000-2-2-2-2222200000000000000000000000000000000000000000
χ604-444-4-4-2-2-20222000004-2-2-200-42220000-21112-1-1-10000003i−3i3i−3i3i−3i00000000000000000000000000000
χ614-444-4-4-2-2-20222000004-2-2-200-42220000-21112-1-1-1000000−3i3i−3i3i−3i3i00000000000000000000000000000
χ624-444-4-4-2-2-2022200000-24-2-2002-42200001-211-12-1-100003i−3i003i−3i−3i3i00000000000000000000000000000
χ634-444-4-4-2-2-2022200000-24-2-2002-42200001-211-12-1-10000−3i3i00−3i3i3i−3i00000000000000000000000000000
χ644-444-4-4-2-2-2022200000-2-24-20022-42000011-21-1-12-100003i−3i−3i3i003i−3i00000000000000000000000000000
χ654-444-4-4-2-2-2022200000-2-24-20022-42000011-21-1-12-10000−3i3i3i−3i00−3i3i00000000000000000000000000000
χ664-444-4-4-2-2-2022200000-2-2-2400222-40000111-2-1-1-1200003i−3i3i−3i−3i3i0000000000000000000000000000000
χ674-444-4-4-2-2-2022200000-2-2-2400222-40000111-2-1-1-120000−3i3i−3i3i3i−3i0000000000000000000000000000000
χ6866−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i326-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i32000000000000000000000000000000000022−1−i3−1+i3−1−i3−1+i3000000-11+i321−i32-11+i321−i3200000000000
χ6966−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i326-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i320000000000000000000000000000000000-2-21+i31−i31+i31−i30000001−1−i32−1+i321−1−i32−1+i3200000000000
χ7066−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-6-33+3i323−3i323+3i33−3i33−3−3i32−3+3i3200000000000000000000000000000000002-2−1−i3−1+i31+i31−i3000000-11+i321−i321−1−i32−1+i3200000000000
χ7166−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-6-33+3i323−3i323+3i33−3i33−3−3i32−3+3i320000000000000000000000000000000000-221+i31−i3−1−i3−1+i30000001−1−i32−1+i32-11+i321−i3200000000000
χ7266−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i326-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i32000000000000000000000000000000000022−1+i3−1−i3−1+i3−1−i3000000-11−i321+i32-11−i321+i3200000000000
χ7366−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i326-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i320000000000000000000000000000000000-2-21−i31+i31−i31+i30000001−1+i32−1−i321−1+i32−1−i3200000000000
χ7466−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-6-33−3i323+3i323−3i33+3i33−3+3i32−3−3i3200000000000000000000000000000000002-2−1+i3−1−i31−i31+i3000000-11−i321+i321−1+i32−1−i3200000000000
χ7566−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-6-33−3i323+3i323−3i33+3i33−3+3i32−3−3i320000000000000000000000000000000000-221−i31+i3−1+i3−1−i30000001−1+i32−1−i32-11−i321+i3200000000000
χ766-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i30-63+3i33−3i30000000000000000000000000000000000000000000002-2−1−i3−1+i31+i31−i300000000000000000
χ776-6−3−3i3−3+3i33+3i33−3i36−3−3i3−3+3i30-63+3i33−3i3000000000000000000000000000000000000000000000-221+i31−i3−1−i3−1+i300000000000000000
χ786-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i30-63−3i33+3i30000000000000000000000000000000000000000000002-2−1+i3−1−i31−i31+i300000000000000000
χ796-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i30-63−3i33+3i3000000000000000000000000000000000000000000000-221−i31+i3−1+i3−1−i300000000000000000
χ8012-12−6−6i3−6+6i36+6i36−6i3-63+3i33−3i306−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000
χ8112-12−6+6i3−6−6i36−6i36+6i3-63−3i33+3i306−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000

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