Finite Group Databasebeta

← Group #13048714

Character table — Group #13048714

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122222224444466666666121212121212121212121212121212121212121218182727363636363636363654545454545454108108
order122336666366663333666633336666666666666666244466661212121224412121212612
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111
χ511-111-1-1111-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-11
χ611-111-1-1111-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1111-1
χ711-111-1-1111-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-11-1
χ811-111-1-1111-11-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-111-1-111-11
χ922222222222222222-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002020000-1-1
χ1022222222222222222-1222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-20-2000011
χ1122222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122002-1-1-12-1-1-1000000000
χ1222222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-200-2111-2111000000000
χ132222-122-12-1-1-1-1-12-1-122-1-12-12-1-12-1-12-12-1-1-1-122-1-1-1-12200-12-1-1-12-1-1000000000
χ142222-122-12-1-1-1-1-12-1-122-1-12-12-1-12-1-12-12-1-1-1-122-1-1-1-1-2-2001-2111-211000000000
χ152222-122-12-1-1-1-1-1-12-12-12-12-1-12-1-12-12-1-12-1-1-1-1-122-1-12200-1-12-1-1-12-1000000000
χ162222-122-12-1-1-1-1-1-12-12-12-12-1-12-1-12-12-1-12-1-1-1-1-122-1-1-2-20011-2111-21000000000
χ172222-122-12-1-1-1-1-1-1-122-1-122-1-1-12-1-122-1-1-12-1-1-1-1-1-1222200-1-1-12-1-1-12000000000
χ182222-122-12-1-1-1-1-1-1-122-1-122-1-1-12-1-122-1-1-12-1-1-1-1-1-122-2-200111-2111-2000000000
χ1922-222-2-2222-22-2-2222-1222-1-1-1-1-1-2-2-21-1-1-1-11111111100000000000020-20000-11
χ2022-222-2-2222-22-2-2222-1222-1-1-1-1-1-2-2-21-1-1-1-111111111000000000000-20200001-1
χ2122-222-2-2222-22-2-2-1-1-12-1-1-122-1-1-1111-22-1-1-1-2-21111112-2002-1-1-1-2111000000000
χ2222-222-2-2222-22-2-2-1-1-12-1-1-122-1-1-1111-22-1-1-1-2-2111111-2200-21112-1-1-1000000000
χ2322-22-1-2-2-12-11-1112-1-122-1-12-12-1-1-211-2-12-1-111-2-211112-200-12-1-11-211000000000
χ2422-22-1-2-2-12-11-1112-1-122-1-12-12-1-1-211-2-12-1-111-2-21111-22001-211-12-1-1000000000
χ2522-22-1-2-2-12-11-111-12-12-12-12-1-12-11-21-2-1-12-11111-2-2112-200-1-12-111-21000000000
χ2622-22-1-2-2-12-11-111-12-12-12-12-1-12-11-21-2-1-12-11111-2-211-220011-21-1-12-1000000000
χ2722-22-1-2-2-12-11-111-1-122-1-122-1-1-1211-2-2-1-1-12111111-2-22-200-1-1-12111-2000000000
χ2822-22-1-2-2-12-11-111-1-122-1-122-1-1-1211-2-2-1-1-12111111-2-2-2200111-2-1-1-12000000000
χ292-202200-2-220-2002222-2-2-2-222220000-2-2-2-200000000002i−2i000000000002i−2i0000
χ302-202200-2-220-2002222-2-2-2-222220000-2-2-2-20000000000−2i2i00000000000−2i2i0000
χ3144444444444444-2-2-2-2-2-2-2-2-2111-2-2-2-2-2111-2-2111111000000000000000000000
χ324444-244-24-2-2-2-2-24-2-2-24-2-2-21-2114-2-2-21-21111-2-21111000000000000000000000
χ334444-244-24-2-2-2-2-2-24-2-2-24-2-211-21-24-2-211-211111-2-211000000000000000000000
χ344444-244-24-2-2-2-2-2-2-24-2-2-24-2111-2-2-24-2111-2111111-2-2000000000000000000000
χ3544-444-4-4444-44-4-4-2-2-2-2-2-2-2-2-21112222-211122-1-1-1-1-1-1000000000000000000000
χ3644-44-2-4-4-24-22-2224-2-2-24-2-2-21-211-42221-211-1-122-1-1-1-1000000000000000000000
χ3744-44-2-4-4-24-22-222-24-2-2-24-2-211-212-42211-21-1-1-1-122-1-1000000000000000000000
χ3844-44-2-4-4-24-22-222-2-24-2-2-24-2111-222-42111-2-1-1-1-1-1-122000000000000000000000
χ394-404400-4-440-400444-2-4-4-42-2-2-2-20000222200000000000000000000000000000
χ404-404400-4-440-400-2-2-24222-44-2-2-20000-422200000000000000000000000000000
χ414-404400-4-440-400-2-2-2-22222-211100002-1-1-1003-33-33-3000000000000000000000
χ424-404400-4-440-400-2-2-2-22222-211100002-1-1-100-33-33-33000000000000000000000
χ434-404-2002-4-202004-2-24-422-4-24-2-200002-42200000000000000000000000000000
χ444-404-2002-4-202004-2-2-2-42221-2110000-12-1-13-3003-3-33000000000000000000000
χ454-404-2002-4-202004-2-2-2-42221-2110000-12-1-1-3300-333-3000000000000000000000
χ464-404-2002-4-20200-24-242-42-4-2-24-2000022-4200000000000000000000000000000
χ474-404-2002-4-20200-24-2-22-42211-210000-1-12-13-3-33003-3000000000000000000000
χ484-404-2002-4-20200-24-2-22-42211-210000-1-12-1-333-300-33000000000000000000000
χ494-404-2002-4-20200-2-24422-4-4-2-2-240000222-400000000000000000000000000000
χ504-404-2002-4-20200-2-24-222-42111-20000-1-1-123-33-3-3300000000000000000000000
χ514-404-2002-4-20200-2-24-222-42111-20000-1-1-12-33-333-300000000000000000000000
χ52666-36-3-36-3-36-3-3-30000000000000000000000000000002200000000020-1-1-1-100
χ53666-36-3-36-3-36-3-3-3000000000000000000000000000000-2-2000000000-20111100
χ5466-6-36336-3-3-6-33300000000000000000000000000000022000000000-20-1-11100
χ5566-6-36336-3-3-6-333000000000000000000000000000000-2-20000000002011-1-100
χ566-60-36−3i33i3-63-303−3i33i30000000000000000000000000000002i−2i00000000000−ii3−300
χ576-60-36−3i33i3-63-303−3i33i3000000000000000000000000000000−2i2i00000000000i−i−3300
χ586-60-363i3−3i3-63-3033i3−3i30000000000000000000000000000002i−2i00000000000−ii−3300
χ596-60-363i3−3i3-63-3033i3−3i3000000000000000000000000000000−2i2i00000000000i−i3−300
χ60121212-6-6-6-6-6-63-63330000000000000000000000000000000000000000000000000
χ611212-12-6-666-6-6363-3-30000000000000000000000000000000000000000000000000
χ6212-120-6-6−6i36i36630-33i3−3i30000000000000000000000000000000000000000000000000
χ6312-120-6-66i3−6i36630-3−3i33i30000000000000000000000000000000000000000000000000

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