Finite Group Databasebeta

← Group #13049554

Character table — Group #13049554

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222222224444444444448888888888881818181818183636363636363636363636363636363636363636363636368181
order123333666633333366666633333366666622244466666666666612121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-1-11111-1-11111-1-11-1-11-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-11-11-111-1-11111-1-111-11-1-11-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-11111
χ51111111111111111111111111111111111-111-1-11-1-11111-1-11111-1-11-1-11-1-1-1-111-1-1
χ61111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-11-1-11-1-1-111-1-111
χ71111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1111-1-11-1-111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ922222-122-1222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-1022002002-12-100-1-1-1-100-10020000-1-100
χ1022222-122-1222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-102-200-2002-1-2100-1-11100100-200001100
χ1122222-122-1222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-10-2200-200-212-10011-1-100100-200001100
χ1222222-122-1222-12-1-12-1-122-12-1-1-1-1-12-1-1-1-1-10-2-200200-21-2100111100-10020000-1-100
χ132222-122-1222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-12020202-100-12-1-100-1-10-1002000-1-10000
χ142222-122-1222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-120-20-202-1001-2-1-100110100-2000110000
χ152222-122-1222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-1-2020-20-2100-121100-1-10100-2000110000
χ162222-122-1222-12-12-1-12-12-12-12-1-1-1-1-12-1-1-1-1-20-2020-21001-21100110-1002000-1-10000
χ17222-122-1222-122-1-12-1-12-122-1-12-1-1-1-1-12-1-1-1220200-12-1200-1-1-1-100-100200-1-1000000
χ18222-122-1222-122-1-12-1-12-122-1-12-1-1-1-1-12-1-1-12-20-200-121-200-1-11100100-20011000000
χ19222-122-1222-122-1-12-1-12-122-1-12-1-1-1-1-12-1-1-1-220-2001-2-120011-1-100100-20011000000
χ20222-122-1222-122-1-12-1-12-122-1-12-1-1-1-1-12-1-1-1-2-202001-21-200111100-100200-1-1000000
χ2122-1222222-1-1-1-1222222-1-1-1-1-1-12-1-1-1-1-12-1-1000222000000000000222-1-1-1-1-1-1-1-1-100
χ2222-1222222-1-1-1-1222222-1-1-1-1-1-12-1-1-1-1-12-1-10002-2-20000000000002-2-2-111-1-1111100
χ2322-1222222-1-1-1-1222222-1-1-1-1-1-12-1-1-1-1-12-1-1000-22-2000000000000-22-21-1111-1-11100
χ2422-1222222-1-1-1-1222222-1-1-1-1-1-12-1-1-1-1-12-1-1000-2-22000000000000-2-2211-11111-1-100
χ252-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000002i−2i
χ262-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000−2i2i
χ274444-2-24-2-244-2-2-2-21-2-214-2-2-2-21111-2-211110040000000-2-200001100000000000000
χ284444-2-24-2-244-2-2-2-21-2-214-2-2-2-21111-2-2111100-40000000220000-1-100000000000000
χ29444-24-2-24-24-24-2-21-2-21-2-24-2-21-2111-21-211104000000-2-20000110000000000000000
χ30444-24-2-24-24-24-2-21-2-21-2-24-2-21-2111-21-21110-4000000220000-1-10000000000000000
χ31444-2-24-2-244-2-241-2-21-2-2-2-241-2-21111-2-2111400000-2-2000011000000000000000000
χ32444-2-24-2-244-2-241-2-21-2-2-2-241-2-21111-2-2111-400000220000-1-1000000000000000000
χ3344-244-244-2-2-2-214-2-24-2-2-2-21-211-211-211-21100000400000000000000-200-200001100
χ3444-244-244-2-2-2-214-2-24-2-2-2-21-211-211-211-21100000-40000000000000020020000-1-100
χ3544-24-244-24-2-21-2-24-2-24-2-21-21-21-2111-21-2110000400000000000000-200-2000110000
χ3644-24-244-24-2-21-2-24-2-24-2-21-21-21-2111-21-2110000-4000000000000002002000-1-10000
χ3744-2-244-244-21-2-2-2-24-2-241-2-211-2-21111-2-211000400000000000000-200-20011000000
χ3844-2-244-244-21-2-2-2-24-2-241-2-211-2-21111-2-211000-400000000000000200200-1-1000000
χ394-4444-2-4-42-444-24-2-2-422-4-424-2-2-2-2-2-42222200000000000000000000000000000000
χ404-444-24-42-4-44-24-24-22-42-42-4-24-2-2-2-22-4222200000000000000000000000000000000
χ414-444-2-2-422-44-2-2-2-2122-1-422-2-2111122-1-1-1-100000000000000003-300000000000000
χ424-444-2-2-422-44-2-2-2-2122-1-422-2-2111122-1-1-1-10000000000000000-3300000000000000
χ434-44-2442-4-4-4-244-2-2422-42-4-4-2-24-2-2-222-422200000000000000000000000000000000
χ444-44-24-22-42-4-24-2-21-22-122-42-21-21112-12-1-1-1000000000000003-30000000000000000
χ454-44-24-22-42-4-24-2-21-22-122-42-21-21112-12-1-1-100000000000000-330000000000000000
χ464-44-2-2422-4-4-2-241-2-2-12222-41-2-2111-122-1-1-10000000000003-3000000000000000000
χ474-44-2-2422-4-4-2-241-2-2-12222-41-2-2111-122-1-1-1000000000000-33000000000000000000
χ484-4-2444-4-4-42-2-2-2444-4-4-4222-2-2-24-2-2222-42200000000000000000000000000000000
χ494-4-244-2-4-422-2-214-2-2-42222-1-211-2112-1-12-1-100000000000000000000000000003i−3i00
χ504-4-244-2-4-422-2-214-2-2-42222-1-211-2112-1-12-1-10000000000000000000000000000−3i3i00
χ514-4-24-24-42-42-21-2-24-22-422-121-21-211-12-12-1-1000000000000000000000000003i−3i0000
χ524-4-24-24-42-42-21-2-24-22-422-121-21-211-12-12-1-100000000000000000000000000−3i3i0000
χ534-4-2-2442-4-421-2-2-2-2422-4-12211-2-211-1-122-1-10000000000000000000000003i−3i000000
χ544-4-2-2442-4-421-2-2-2-2422-4-12211-2-211-1-122-1-1000000000000000000000000−3i3i000000
χ55888-4-4-4-4-4-48-4-4-4222222-4-4-4222-1-1-1222-1-1-100000000000000000000000000000000
χ5688-48-4-48-4-4-4-422-4-42-4-42-42222-12-1-122-12-1-100000000000000000000000000000000
χ5788-4-48-4-48-4-42-42-42-4-42-42-422-122-1-12-122-1-100000000000000000000000000000000
χ5888-4-4-48-4-48-422-42-4-42-4-422-4-1222-1-1-1222-1-100000000000000000000000000000000
χ5988-4-4-4-4-4-4-4-4222222222222-1-1-1-15-4-1-1-1-15-400000000000000000000000000000000
χ6088-4-4-4-4-4-4-4-4222222222222-1-1-1-1-45-1-1-1-1-4500000000000000000000000000000000
χ618-88-4-4-4444-8-4-4-4222-2-2-2444222-1-1-1-2-2-211100000000000000000000000000000000
χ628-8-48-4-4-8444-422-4-4244-24-2-222-12-1-1-2-21-21100000000000000000000000000000000
χ638-8-4-48-44-8442-42-42-44-24-24-22-122-1-1-21-2-21100000000000000000000000000000000
χ648-8-4-4-4844-8422-42-4-4-244-2-24-1222-1-11-2-2-21100000000000000000000000000000000
χ658-8-4-4-4-44444222222-2-2-2-2-2-2-1-1-1-15-41111-5400000000000000000000000000000000
χ668-8-4-4-4-44444222222-2-2-2-2-2-2-1-1-1-1-4511114-500000000000000000000000000000000

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