Finite Group Databasebeta

← Group #13049551

Character table — Group #13049551

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222222224444444444448888888888881818181818183636363636363636363636363636363636363636363636368181
order123333666633333366666633333366666644444412121212121212121212121212121212121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-11-11-11-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111-1-11-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ922222-1222-1222-1-1-1222-1-1-12-1-1-1-1-12-1-1-1-1-100202200002-1002-12-10000-1-100-1-1-1-100
χ1022222-1222-1222-1-1-1222-1-1-12-1-1-1-1-12-1-1-1-1-10020-2-200002-100-21-210000-1-100111100
χ1122222-1222-1222-1-1-1222-1-1-12-1-1-1-1-12-1-1-1-1-100-202-20000-21002-1-2100001100-1-11100
χ1222222-1222-1222-1-1-1222-1-1-12-1-1-1-1-12-1-1-1-1-100-20-220000-2100-212-10000110011-1-100
χ132222-1222-122-1-122-12-1-122-1-12-1-1-1-1-12-1-1-1-1020202002-1002-100-1200-1-100-1-100-1-100
χ142222-1222-122-1-122-12-1-122-1-12-1-1-1-1-12-1-1-1-1020-20-2002-100-21001-200-1-10011001100
χ152222-1222-122-1-122-12-1-122-1-12-1-1-1-1-12-1-1-1-10-2020-200-21002-1001-2001100-1-1001100
χ162222-1222-122-1-122-12-1-122-1-12-1-1-1-1-12-1-1-1-10-20-20200-2100-2100-120011001100-1-100
χ17222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-12002202-10000-12-1200-1-10000-1-1-1-10000
χ18222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-1200-2-202-100001-21-200-1-1000011110000
χ19222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-1-2002-20-210000-121-200110000-1-1110000
χ20222-1222-122-12-12-12-12-12-12-1-12-1-1-1-1-12-1-1-1-200-220-2100001-2-120011000011-1-10000
χ2122-1222-1222-1-12-122-1-12-122-1-1-12-1-1-1-1-12-1-1222000-12-12-12000000-1-1-1-1-1-100000000
χ2222-1222-1222-1-12-122-1-12-122-1-1-12-1-1-1-1-12-1-12-2-2000-121-21-2000000-1-1111100000000
χ2322-1222-1222-1-12-122-1-12-122-1-1-12-1-1-1-1-12-1-1-22-20001-2-121-200000011-1-11100000000
χ2422-1222-1222-1-12-122-1-12-122-1-1-12-1-1-1-1-12-1-1-2-220001-21-2-120000001111-1-100000000
χ252-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000002-2
χ262-22222-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000-22
χ274444-2-244-2-24-2-2-2-214-2-2-2-21-2-21111-2-211110000040000000000-2-200000000001100
χ284444-2-244-2-24-2-2-2-214-2-2-2-21-2-21111-2-2111100000-40000000000220000000000-1-100
χ29444-24-24-24-2-24-2-21-2-24-2-21-2-21-2111-21-211100004000000000-2-20000000000110000
χ30444-24-24-24-2-24-2-21-2-24-2-21-2-21-2111-21-21110000-4000000000220000000000-1-10000
χ31444-2-244-2-24-2-214-2-2-2-214-2-21-2-21111-2-2111000400000000-2-2000000000011000000
χ32444-2-244-2-24-2-214-2-2-2-214-2-21-2-21111-2-2111000-400000000220000000000-1-1000000
χ3344-244-2-244-2-2-241-2-2-2-241-2-2-211-211-211-2110040000000-2-200000000001100000000
χ3444-244-2-244-2-2-241-2-2-2-241-2-2-211-211-211-21100-40000000220000000000-1-100000000
χ3544-24-24-24-24-21-2-24-2-21-2-24-21-21-2111-21-21104000000-2-20000000000110000000000
χ3644-24-24-24-24-21-2-24-2-21-2-24-21-21-2111-21-2110-4000000220000000000-1-10000000000
χ3744-2-244-2-2441-2-2-2-241-2-2-2-2411-2-21111-2-211400000-2-2000000000011000000000000
χ3844-2-244-2-2441-2-2-2-241-2-2-2-2411-2-21111-2-211-400000220000000000-1-1000000000000
χ394-4444-2-4-4-42444-2-2-2-4-4-42224-2-2-2-2-2-42222200000000000000000000000000000000
χ404-444-24-4-42-44-2-244-2-422-4-42-24-2-2-2-22-4222200000000000000000000000000000000
χ414-444-2-2-4-4224-2-2-2-21-42222-1-2-2111122-1-1-1-100000000000000000000000000003i−3i00
χ424-444-2-2-4-4224-2-2-2-21-42222-1-2-2111122-1-1-1-10000000000000000000000000000−3i3i00
χ434-44-244-42-4-4-24-24-242-42-42-4-2-24-2-2-222-422200000000000000000000000000000000
χ444-44-24-2-42-42-24-2-21-22-422-12-21-21112-12-1-1-1000000000000000000000000003i−3i0000
χ454-44-24-2-42-42-24-2-21-22-422-12-21-21112-12-1-1-100000000000000000000000000−3i3i0000
χ464-44-2-24-422-4-2-214-2-222-1-4221-2-2111-122-1-1-10000000000000000000000003i−3i000000
χ474-44-2-24-422-4-2-214-2-222-1-4221-2-2111-122-1-1-1000000000000000000000000−3i3i000000
χ484-4-24442-4-4-4-2-24-24422-42-4-4-2-2-24-2-2222-42200000000000000000000000000000000
χ494-4-244-22-4-42-2-241-2-222-4-122-211-2112-1-12-1-100000000000000000000003i−3i00000000
χ504-4-244-22-4-42-2-241-2-222-4-122-211-2112-1-12-1-10000000000000000000000−3i3i00000000
χ514-4-24-242-42-4-21-2-24-22-122-421-21-211-12-12-1-1000000000000000000003i−3i0000000000
χ524-4-24-242-42-4-21-2-24-22-122-421-21-211-12-12-1-100000000000000000000−3i3i0000000000
χ534-4-2-24422-4-41-2-2-2-24-12222-411-2-211-1-122-1-10000000000000000003i−3i000000000000
χ544-4-2-24422-4-41-2-2-2-24-12222-411-2-211-1-122-1-1000000000000000000−3i3i000000000000
χ55888-4-4-48-4-4-4-4-42-422-4-42-422222-1-1-1222-1-1-100000000000000000000000000000000
χ5688-48-4-4-48-4-4-42-42-42-42-42-4222-12-1-122-12-1-100000000000000000000000000000000
χ5788-4-48-4-4-48-42-4-422-42-4-422-42-122-1-12-122-1-100000000000000000000000000000000
χ5888-4-4-48-4-4-48222-4-4-4222-4-4-4-1222-1-1-1222-1-100000000000000000000000000000000
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
χ618-88-4-4-4-8444-4-42-42244-24-2-2222-1-1-1-2-2-211100000000000000000000000000000000
χ628-8-48-4-44-844-42-42-424-24-24-222-12-1-1-2-21-21100000000000000000000000000000000
χ638-8-4-48-444-842-4-422-4-244-2-242-122-1-1-21-2-21100000000000000000000000000000000
χ648-8-4-4-48444-8222-4-4-4-2-2-2444-1222-1-11-2-2-21100000000000000000000000000000000
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).