Finite Group Databasebeta

← Group #13048736

Character table — Group #13048736

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111112222222224446666666666666612121212121212121212121212121212121212121818181818182727272727273636363636363636363636363636545454
order12336623336666666623333466666612123333666666666666666624661212226666666666612121212121212266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1
χ3111111111111111111-11111-1-1-11111-1-111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1
χ4111111111111111111-11111-1-1-11111-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111-1111-1-1111-1-1-111111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111-1111-1-1111-1-1-111111-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111
χ7111111-1111-1-1111-1-1-1-111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111
χ8111111-1111-1-1111-1-1-1-111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-11111111-1-1-1
χ922222222222222222222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10000000000000002-1-1-10002-1-1-1000
χ102222222222222222222-12-1-1222-12-1-122-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000000000-12-1-1000-12-1-1000
χ112222222222222222222-1-12-1222-1-12-122-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1000000000000000-1-12-1000-1-12-1000
χ122222222222222222222-1-1-12222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000000000-1-1-12000-1-1-12000
χ13222222222222222222-22-1-1-1-2-2-22-1-1-1-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000000000-2111000-2111000
χ14222222222222222222-2-12-1-1-2-2-2-12-1-1-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000000001-2110001-211000
χ15222222222222222222-2-1-12-1-2-2-2-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-100000000000000011-2100011-21000
χ16222222222222222222-2-1-1-12-2-2-2-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122000000000000000111-2000111-2000
χ172222222-1-1-122-1-1-1-1-1-102222000222200-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222000000-1-1-10000-1-1-10000000
χ182222222-1-1-122-1-1-1-1-1-102222000222200-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000011100001110000000
χ19222222-2222-2-2222-2-2-222-1-1-1-2222-1-1-1-2-22-1-1-1-21112-1-1-1-2-21111110000000000000002-1-1-1000-2111000
χ20222222-2222-2-2222-2-2-22-12-1-1-222-12-1-1-2-2-12-1-11-211-12-1-111-2-21111000000000000000-12-1-10001-211000
χ21222222-2222-2-2222-2-2-22-1-12-1-222-1-12-1-2-2-1-12-111-21-1-12-11111-2-211000000000000000-1-12-100011-21000
χ22222222-2222-2-2222-2-2-22-1-1-12-222-1-1-12-2-2-1-1-12111-2-1-1-12111111-2-2000000000000000-1-1-12000111-2000
χ23222222-2222-2-2222-2-2-2-22-1-1-12-2-22-1-1-1222-1-1-1-21112-1-1-1-2-2111111000000000000000-21110002-1-1-1000
χ24222222-2222-2-2222-2-2-2-2-12-1-12-2-2-12-1-122-12-1-11-211-12-1-111-2-211110000000000000001-211000-12-1-1000
χ25222222-2222-2-2222-2-2-2-2-1-12-12-2-2-1-12-122-1-12-111-21-1-12-11111-2-21100000000000000011-21000-1-12-1000
χ26222222-2222-2-2222-2-2-2-2-1-1-122-2-2-1-1-1222-1-1-12111-2-1-1-12111111-2-2000000000000000111-2000-1-1-12000
χ27222222-2-1-1-1-2-2-1-1-111102222000222200-1-1-1-1-2-2-2-2-1-1-1-1111111112-222-2-2000000-1-1-100001110000000
χ28222222-2-1-1-1-2-2-1-1-111102222000222200-1-1-1-1-2-2-2-2-1-1-1-111111111-22-2-2220000001110000-1-1-10000000
χ292-222-2-2022200-2-2-200002222000-2-2-2-20022220000-2-2-2-2000000000000002-222-2-200000000000000000
χ302-222-2-2022200-2-2-200002222000-2-2-2-20022220000-2-2-2-200000000000000-22-2-22200000000000000000
χ3133−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32300003−3+3i32−3−3i320000−3+3i32−3−3i320000000000000000000011−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3200001−1+i32−1−i3200001−1+i32−1−i32
χ3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32300003−3+3i32−3−3i320000−3+3i32−3−3i3200000000000000000000-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i32-11−i321+i320000-11−i321+i320000-11−i321+i32
χ3333−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-30000-33−3i323+3i3200003−3i323+3i320000000000000000000011−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i321−1+i32−1−i3200001−1+i32−1−i320000-11−i321+i32
χ3433−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-30000-33−3i323+3i3200003−3i323+3i3200000000000000000000-1-11−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32-11−i321+i320000-11−i321+i3200001−1+i32−1−i32
χ3533−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i3230000-3−3+3i32−3−3i3200003−3i323+3i32000000000000000000001-1−1+i32−1−i321−i321+i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1−i320000-11−i321+i320000-11−i321+i32
χ3633−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i3230000-3−3+3i32−3−3i3200003−3i323+3i3200000000000000000000-111−i321+i32−1+i32−1−i32-1-11−i321+i321−i321+i32-11−i321+i3200001−1+i32−1−i3200001−1+i32−1−i32
χ3733−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32-3000033−3i323+3i320000−3+3i32−3−3i32000000000000000000001-1−1+i32−1−i321−i321+i32-1-11−i321+i321−i321+i321−1+i32−1−i320000-11−i321+i3200001−1+i32−1−i32
χ3833−3+3i32−3−3i32−3+3i32−3−3i32-33−3+3i32−3−3i323−3i323+3i323−3+3i32−3−3i32-33−3i323+3i32-3000033−3i323+3i320000−3+3i32−3−3i3200000000000000000000-111−i321+i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11−i321+i3200001−1+i32−1−i320000-11−i321+i32
χ3933−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32300003−3−3i32−3+3i320000−3−3i32−3+3i320000000000000000000011−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3200001−1−i32−1+i3200001−1−i32−1+i32
χ4033−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32300003−3−3i32−3+3i320000−3−3i32−3+3i3200000000000000000000-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i32-11+i321−i320000-11+i321−i320000-11+i321−i32
χ4133−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-30000-33+3i323−3i3200003+3i323−3i320000000000000000000011−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i321−1−i32−1+i3200001−1−i32−1+i320000-11+i321−i32
χ4233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-30000-33+3i323−3i3200003+3i323−3i3200000000000000000000-1-11+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32-11+i321−i320000-11+i321−i3200001−1−i32−1+i32
χ4333−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i3230000-3−3−3i32−3+3i3200003+3i323−3i32000000000000000000001-1−1−i32−1+i321+i321−i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1+i320000-11+i321−i320000-11+i321−i32
χ4433−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i3230000-3−3−3i32−3+3i3200003+3i323−3i3200000000000000000000-111+i321−i32−1−i32−1+i32-1-11+i321−i321+i321−i32-11+i321−i3200001−1−i32−1+i3200001−1−i32−1+i32
χ4533−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32-3000033+3i323−3i320000−3−3i32−3+3i32000000000000000000001-1−1−i32−1+i321+i321−i32-1-11+i321−i321+i321−i321−1−i32−1+i320000-11+i321−i3200001−1−i32−1+i32
χ4633−3−3i32−3+3i32−3−3i32−3+3i32-33−3−3i32−3+3i323+3i323−3i323−3−3i32−3+3i32-33+3i323−3i32-3000033+3i323−3i320000−3−3i32−3+3i3200000000000000000000-111+i321−i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11+i321−i3200001−1−i32−1+i320000-11+i321−i32
χ474444444-2-2-244-2-2-2-2-2-204-2-2-20004-2-2-200-21114-2-2-2-2111-2-211111100000000000000000000000000000
χ484444444-2-2-244-2-2-2-2-2-20-24-2-2000-24-2-2001-211-24-2-21-21111-2-2111100000000000000000000000000000
χ494444444-2-2-244-2-2-2-2-2-20-2-24-2000-2-24-20011-21-2-24-211-211111-2-21100000000000000000000000000000
χ504444444-2-2-244-2-2-2-2-2-20-2-2-24000-2-2-2400111-2-2-2-24111-2111111-2-200000000000000000000000000000
χ51444444-4-2-2-2-4-4-2-2-222204-2-2-20004-2-2-200-2111-4222-211122-1-1-1-1-1-100000000000000000000000000000
χ52444444-4-2-2-2-4-4-2-2-22220-24-2-2000-24-2-2001-2112-4221-211-1-122-1-1-1-100000000000000000000000000000
χ53444444-4-2-2-2-4-4-2-2-22220-2-24-2000-2-24-20011-2122-4211-21-1-1-1-122-1-100000000000000000000000000000
χ54444444-4-2-2-2-4-4-2-2-22220-2-2-24000-2-2-2400111-2222-4111-2-1-1-1-1-1-12200000000000000000000000000000
χ554-444-4-4044400-4-4-400004-2-2-2000-4222004-2-2-20000-42220000000000000000000000000000000000000
χ564-444-4-4044400-4-4-40000-24-2-20002-42200-24-2-200002-4220000000000000000000000000000000000000
χ574-444-4-4044400-4-4-40000-2-24-200022-4200-2-24-2000022-420000000000000000000000000000000000000
χ584-444-4-4044400-4-4-40000-2-2-24000222-400-2-2-240000222-40000000000000000000000000000000000000
χ594-444-4-40-2-2-20022200004444000-4-4-4-400-2-2-2-2000022220000000000000000000000000000000000000
χ604-444-4-40-2-2-20022200004-2-2-2000-422200-211100002-1-1-1003-33-33-300000000000000000000000000000
χ614-444-4-40-2-2-20022200004-2-2-2000-422200-211100002-1-1-100-33-33-3300000000000000000000000000000
χ624-444-4-40-2-2-2002220000-24-2-20002-422001-2110000-12-1-13-3003-3-3300000000000000000000000000000
χ634-444-4-40-2-2-2002220000-24-2-20002-422001-2110000-12-1-1-3300-333-300000000000000000000000000000
χ644-444-4-40-2-2-2002220000-2-24-200022-420011-210000-1-12-13-3-33003-300000000000000000000000000000
χ654-444-4-40-2-2-2002220000-2-24-200022-420011-210000-1-12-1-333-300-3300000000000000000000000000000
χ664-444-4-40-2-2-2002220000-2-2-24000222-400111-20000-1-1-123-33-3-330000000000000000000000000000000
χ674-444-4-40-2-2-2002220000-2-2-24000222-400111-20000-1-1-12-33-333-30000000000000000000000000000000
χ6866−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000022−1+i3−1−i3−1+i3−1−i3000000-11−i321+i320000-11−i321+i320000000
χ6966−3+3i3−3−3i3−3+3i3−3−3i36-33−3i323+3i32−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i320000000000000000000000000000000000-2-21−i31+i31−i31+i30000001−1+i32−1−i3200001−1+i32−1−i320000000
χ7066−3+3i3−3−3i3−3+3i3−3−3i3-6-33−3i323+3i323−3i33+3i3-33−3i323+3i323−3+3i32−3−3i3200000000000000000000000000000000002-2−1+i3−1−i31−i31+i3000000-11−i321+i3200001−1+i32−1−i320000000
χ7166−3+3i3−3−3i3−3+3i3−3−3i3-6-33−3i323+3i323−3i33+3i3-33−3i323+3i323−3+3i32−3−3i320000000000000000000000000000000000-221−i31+i3−1+i3−1−i30000001−1+i32−1−i320000-11−i321+i320000000
χ7266−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000022−1−i3−1+i3−1−i3−1+i3000000-11+i321−i320000-11+i321−i320000000
χ7366−3−3i3−3+3i3−3−3i3−3+3i36-33+3i323−3i32−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i320000000000000000000000000000000000-2-21+i31−i31+i31−i30000001−1−i32−1+i3200001−1−i32−1+i320000000
χ7466−3−3i3−3+3i3−3−3i3−3+3i3-6-33+3i323−3i323+3i33−3i3-33+3i323−3i323−3−3i32−3+3i3200000000000000000000000000000000002-2−1−i3−1+i31+i31−i3000000-11+i321−i3200001−1−i32−1+i320000000
χ7566−3−3i3−3+3i3−3−3i3−3+3i3-6-33+3i323−3i323+3i33−3i3-33+3i323−3i323−3−3i32−3+3i320000000000000000000000000000000000-221+i31−i3−1−i3−1+i30000001−1−i32−1+i320000-11+i321−i320000000
χ766-6−3+3i3−3−3i33−3i33+3i306−3+3i3−3−3i300-63−3i33+3i300000000000000000000000000000000000000000002-2−1+i3−1−i31−i31+i300000000000000000
χ776-6−3+3i3−3−3i33−3i33+3i306−3+3i3−3−3i300-63−3i33+3i30000000000000000000000000000000000000000000-221−i31+i3−1+i3−1−i300000000000000000
χ786-6−3−3i3−3+3i33+3i33−3i306−3−3i3−3+3i300-63+3i33−3i300000000000000000000000000000000000000000002-2−1−i3−1+i31+i31−i300000000000000000
χ796-6−3−3i3−3+3i33+3i33−3i306−3−3i3−3+3i300-63+3i33−3i30000000000000000000000000000000000000000000-221+i31−i3−1−i3−1+i300000000000000000
χ8012-12−6+6i3−6−6i36−6i36+6i30-63−3i33+3i3006−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000
χ8112-12−6−6i3−6+6i36+6i36−6i30-63+3i33−3i3006−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000

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