Finite Group Databasebeta

← Group #13048659

Character table — Group #13048659

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122222224444466666666121212121212121212121212121212121212121218182727363636363636363654545454545454108108
order123346612123612121233336666333366661212121212121212121212124444121212121212121222266121266
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111-111-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111-1-1-1-11-1-1-1111-1
χ61111-111-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111-1-1-11-1111-1-1-11
χ71111-111-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-1-11-1-111-11
χ81111-111-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111111-111-1-11-1
χ922222222222222222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10000000000000220000-1-1
χ1022222222222222222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10000000000000-2-2000011
χ1122222222222222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1220022-1-1-1-1-1-1000000000
χ1222222222222222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-200-2-2111111000000000
χ132222-222-2-222-2-2-2222-1-1222-1-1-1-1-1-1-1-11-2-2-21111111100000000000002-20000-11
χ142222-222-2-222-2-2-2222-1-1222-1-1-1-1-1-1-1-11-2-2-2111111110000000000000-2200001-1
χ152222-222-2-222-2-2-2-1-1-122-1-1-12-1-1-12-1-1-1-2111-2-21111112-2002-2-1-1-1111000000000
χ162222-222-2-222-2-2-2-1-1-122-1-1-12-1-1-12-1-1-1-2111-2-2111111-2200-22111-1-1-1000000000
χ1722-122-1222-1-1-1-1-12-1-1222-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-12200-1-12-1-12-1-1000000000
χ1822-122-1222-1-1-1-1-12-1-1222-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-2-20011-211-211000000000
χ1922-122-1222-1-1-1-1-1-12-122-12-1-1-12-1-1-12-12-12-1-1-1-1-122-1-12200-1-1-12-1-12-1000000000
χ2022-122-1222-1-1-1-1-1-12-122-12-1-1-12-1-1-12-12-12-1-1-1-1-122-1-1-2-200111-211-21000000000
χ2122-122-1222-1-1-1-1-1-1-1222-1-12-1-1-12-1-1-122-1-12-1-1-1-1-1-1222200-1-1-1-12-1-12000000000
χ2222-122-1222-1-1-1-1-1-1-1222-1-12-1-1-12-1-1-122-1-12-1-1-1-1-1-122-2-2001111-211-2000000000
χ2322-12-2-12-2-2-1-11112-1-1222-1-1-12-1-1-12-1-1-2-21111-2-211112-200-112-1-1-211000000000
χ2422-12-2-12-2-2-1-11112-1-1222-1-1-12-1-1-12-1-1-2-21111-2-21111-22001-1-2112-1-1000000000
χ2522-12-2-12-2-2-1-1111-12-122-12-1-1-12-1-1-12-1-21-211111-2-2112-200-11-12-11-21000000000
χ2622-12-2-12-2-2-1-1111-12-122-12-1-1-12-1-1-12-1-21-211111-2-211-22001-11-21-12-1000000000
χ2722-12-2-12-2-2-1-1111-1-1222-1-12-1-1-12-1-1-12-211-2111111-2-22-200-11-1-1211-2000000000
χ2822-12-2-12-2-2-1-1111-1-1222-1-12-1-1-12-1-1-12-211-2111111-2-2-22001-111-2-1-12000000000
χ292-2220-2-2002-20002222-2-2-2-22222-2-2-2-2000000000000002i−2i00000000000002i−2i00
χ302-2220-2-2002-20002222-2-2-2-22222-2-2-2-200000000000000−2i2i0000000000000−2i2i00
χ3144444444444444-2-2-2-2-2-2-2-2-2111-2111-2-2-2-2-2-2111111000000000000000000000
χ324444-444-4-444-4-4-4-2-2-2-2-2-2-2-2-2111-2111222222-1-1-1-1-1-1000000000000000000000
χ3344-244-2444-2-2-2-2-24-2-2-2-24-2-21-2111-211-24-2-211-2-21111000000000000000000000
χ3444-244-2444-2-2-2-2-2-24-2-2-2-24-211-2111-21-2-24-21111-2-211000000000000000000000
χ3544-244-2444-2-2-2-2-2-2-24-2-2-2-24111-2111-2-2-2-24111111-2-2000000000000000000000
χ3644-24-4-24-4-4-2-22224-2-2-2-24-2-21-2111-2112-422-1-122-1-1-1-1000000000000000000000
χ3744-24-4-24-4-4-2-2222-24-2-2-2-24-211-2111-2122-42-1-1-1-122-1-1000000000000000000000
χ3844-24-4-24-4-4-2-2222-2-24-2-2-2-24111-2111-2222-4-1-1-1-1-1-122000000000000000000000
χ394-4440-4-4004-4000444-22-4-4-4-2-2-2-22222000000000000000000000000000000000
χ404-4440-4-4004-4000-2-2-24-42224-2-2-2-4222000000000000000000000000000000000
χ414-4440-4-4004-4000-2-2-2-22222-21112-1-1-10000003i−3i3i−3i3i−3i000000000000000000000
χ424-4440-4-4004-4000-2-2-2-22222-21112-1-1-1000000−3i3i−3i3i−3i3i000000000000000000000
χ434-4-2402-400-220004-2-24-4-422-24-2-22-422000000000000000000000000000000000
χ444-4-2402-400-220004-2-2-22-4221-211-12-1-100003i−3i003i−3i−3i3i000000000000000000000
χ454-4-2402-400-220004-2-2-22-4221-211-12-1-10000−3i3i00−3i3i3i−3i000000000000000000000
χ464-4-2402-400-22000-24-24-42-42-2-24-222-42000000000000000000000000000000000
χ474-4-2402-400-22000-24-2-222-4211-21-1-12-100003i−3i−3i3i003i−3i000000000000000000000
χ484-4-2402-400-22000-24-2-222-4211-21-1-12-10000−3i3i3i−3i00−3i3i000000000000000000000
χ494-4-2402-400-22000-2-244-422-4-2-2-24222-4000000000000000000000000000000000
χ504-4-2402-400-22000-2-24-2222-4111-2-1-1-1200003i−3i3i−3i−3i3i00000000000000000000000
χ514-4-2402-400-22000-2-24-2222-4111-2-1-1-120000−3i3i−3i3i3i−3i00000000000000000000000
χ52666-366-3-3-3-3-36-3-30000000000000000000000000000002200000000200-1-1-1-100
χ53666-366-3-3-3-3-36-3-3000000000000000000000000000000-2-200000000-200111100
χ54666-3-66-333-3-3-6330000000000000000000000000000002200000000-20011-1-100
χ55666-3-66-333-3-3-633000000000000000000000000000000-2-200000000200-1-11100
χ566-66-30-6333−33-33033−330000000000000000000000000000002i−2i00000000000−i3i3−ii00
χ576-66-30-6333−33-33033−33000000000000000000000000000000−2i2i00000000000i3−i3i−i00
χ586-66-30-63−3333-330−33330000000000000000000000000000002i−2i00000000000i3−i3−ii00
χ596-66-30-63−3333-330−3333000000000000000000000000000000−2i2i00000000000−i3i3i−i00
χ601212-6-612-6-6-6-633-6330000000000000000000000000000000000000000000000000
χ611212-6-6-12-6-666336-3-30000000000000000000000000000000000000000000000000
χ6212-12-6-606663−633-30−33330000000000000000000000000000000000000000000000000
χ6312-12-6-6066−63633-3033−330000000000000000000000000000000000000000000000000

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