Finite Group Databasebeta

← Group #72222969

Character table — Group #72222969

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size122346666912121212121218242424274848485454545454727272108108108108122346666912121212121218242424274848485454545454727272108108108108
order1332336662366666633323332244666666121226626666626666666666266622446666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1
χ3111111111-1111111-1111-11111-11-1-1-1-1-11-11-1111111111-1111111-1111-11111-11-1-1-1-1-11-11-1
χ4111111111-1111111-1111-1111-11-11-1-1-1-1-11-11111111111-1111111-1111-1111-11-11-1-1-1-1-11-11
χ522222222222222222-1-1-12-1-1-100002-1-1-1000022222222222222222-1-1-12-1-1-100002-1-1-10000
χ6222222222-2222222-2-1-1-1-2-1-1-10000-21110000222222222-2222222-2-1-1-1-2-1-1-10000-21110000
χ722222-122-10-12-1-1-1-102220-1-1-1020200000-10-122222-122-10-12-1-1-1-102220-1-1-1020200000-10-1
χ822222-122-10-12-1-1-1-102220-1-1-10-20-20000010122222-122-10-12-1-1-1-102220-1-1-10-20-200000101
χ92-122-12-1222-1-12-1-1-1-12-1-122-1-10000-12-1-100002-122-12-1222-1-12-1-1-1-12-1-122-1-10000-12-1-10000
χ102-122-12-1222-1-12-1-1-1-1-12-12-12-10000-1-12-100002-122-12-1222-1-12-1-1-1-1-12-12-12-10000-1-12-10000
χ112-122-12-1222-1-12-1-1-1-1-1-122-1-120000-1-1-1200002-122-12-1222-1-12-1-1-1-1-1-122-1-120000-1-1-120000
χ122-122-12-122-2-1-12-1-1-112-1-1-22-1-100001-21100002-122-12-122-2-1-12-1-1-112-1-1-22-1-100001-2110000
χ132-122-12-122-2-1-12-1-1-11-12-1-2-12-1000011-2100002-122-12-122-2-1-12-1-1-11-12-1-2-12-1000011-210000
χ142-122-12-122-2-1-12-1-1-11-1-12-2-1-120000111-200002-122-12-122-2-1-12-1-1-11-1-12-2-1-120000111-20000
χ15333-133-1-1-133-1-1-1-1-13000-100011-1-1-100011-1-1333-133-1-1-133-1-1-1-1-13000-100011-1-1-100011-1-1
χ16333-133-1-1-133-1-1-1-1-13000-1000-1-111-1000-1-111333-133-1-1-133-1-1-1-1-13000-1000-1-111-1000-1-111
χ17333-133-1-1-1-33-1-1-1-1-1-300010001-1-1110001-1-11333-133-1-1-1-33-1-1-1-1-1-300010001-1-1110001-1-11
χ18333-133-1-1-1-33-1-1-1-1-1-30001000-111-11000-111-1333-133-1-1-1-33-1-1-1-1-1-30001000-111-11000-111-1
χ1944444-244-20-24-2-2-2-20-2-2-2011100000000000044444-244-20-24-2-2-2-20-2-2-20111000000000000
χ204-244-2-2-24-201-2-211104-2-20-2110000000000004-244-2-2-24-201-2-211104-2-20-211000000000000
χ214-244-2-2-24-201-2-21110-24-201-210000000000004-244-2-2-24-201-2-21110-24-201-21000000000000
χ224-244-2-2-24-201-2-21110-2-24011-20000000000004-244-2-2-24-201-2-21110-2-24011-2000000000000
χ23666-26-3-2-210-3-2111100000000020-200000-101666-26-3-2-210-3-2111100000000020-200000-101
χ24666-26-3-2-210-3-21111000000000-2020000010-1666-26-3-2-210-3-21111000000000-2020000010-1
χ2566-36-306-3000-300000000000020200000-10-1066-36-306-3000-300000000000020200000-10-10
χ2666-36-306-3000-3000000000000-20-200000101066-36-306-3000-3000000000000-20-2000001010
χ2766-3-2-30-214001-24-2-20000000020-200000-101066-3-2-30-214001-24-2-20000000020-200000-1010
χ2866-3-2-30-214001-24-2-200000000-2020000010-1066-3-2-30-214001-24-2-200000000-2020000010-10
χ296-36-2-361-2-26-31-2111-3000-20000000100000006-36-2-361-2-26-31-2111-3000-2000000010000000
χ306-36-2-361-2-2-6-31-2111300020000000-100000006-36-2-361-2-2-6-31-2111300020000000-10000000
χ311212-6-4-60-42-40022-422000000000000000000001212-6-4-60-42-40022-42200000000000000000000
χ3212-612-4-6-62-420322-1-1-10000000000000000000012-612-4-6-62-420322-1-1-100000000000000000000
χ3312-6-61230-6-6000300000000000000000000000012-6-61230-6-60003000000000000000000000000
χ3412-6-6-43022800-1-4-4220000000000000000000012-6-6-43022800-1-4-42200000000000000000000
χ3512-6-6-43022-400-122−1+3i3−1−3i30000000000000000000012-6-6-43022-400-122−1+3i3−1−3i300000000000000000000
χ3612-6-6-43022-400-122−1−3i3−1+3i30000000000000000000012-6-6-43022-400-122−1−3i3−1+3i300000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ38111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ39111111111-1111111-1111-11111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-11-1-1-1-11-111111-11-11
χ40111111111-1111111-1111-1111-11-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-11-1-1-11-11-111111-11-1
χ4122222222222222222-1-1-12-1-1-100002-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-21110000-21110000
χ42222222222-2222222-2-1-1-1-2-1-1-10000-21110000-2-2-2-2-2-2-2-2-22-2-2-2-2-2-22111211100002-1-1-10000
χ4322222-122-10-12-1-1-1-102220-1-1-1020200000-10-1-2-2-2-2-21-2-2101-211110-2-2-201110-20-200000101
χ4422222-122-10-12-1-1-1-102220-1-1-10-20-200000101-2-2-2-2-21-2-2101-211110-2-2-20111020200000-10-1
χ452-122-12-1222-1-12-1-1-1-12-1-122-1-10000-12-1-10000-21-2-21-21-2-2-211-21111-211-2-21100001-2110000
χ462-122-12-1222-1-12-1-1-1-1-12-12-12-10000-1-12-10000-21-2-21-21-2-2-211-211111-21-21-21000011-210000
χ472-122-12-1222-1-12-1-1-1-1-1-122-1-120000-1-1-120000-21-2-21-21-2-2-211-2111111-2-211-20000111-20000
χ482-122-12-122-2-1-12-1-1-112-1-1-22-1-100001-2110000-21-2-21-21-2-2211-2111-1-2112-2110000-12-1-10000
χ492-122-12-122-2-1-12-1-1-11-12-1-2-12-1000011-210000-21-2-21-21-2-2211-2111-11-2121-210000-1-12-10000
χ502-122-12-122-2-1-12-1-1-11-1-12-2-1-120000111-20000-21-2-21-21-2-2211-2111-111-2211-20000-1-1-120000
χ51333-133-1-1-133-1-1-1-1-13000-100011-1-1-100011-1-1-3-3-31-3-3111-3-311111-30001000-1-1111000-1-111
χ52333-133-1-1-133-1-1-1-1-13000-1000-1-111-1000-1-111-3-3-31-3-3111-3-311111-3000100011-1-1100011-1-1
χ53333-133-1-1-1-33-1-1-1-1-1-300010001-1-1110001-1-11-3-3-31-3-31113-3111113000-1000-111-1-1000-111-1
χ54333-133-1-1-1-33-1-1-1-1-1-30001000-111-11000-111-1-3-3-31-3-31113-3111113000-10001-1-11-10001-1-11
χ5544444-244-20-24-2-2-2-20-2-2-20111000000000000-4-4-4-4-42-4-4202-4222202220-1-1-1000000000000
χ564-244-2-2-24-201-2-211104-2-20-211000000000000-42-4-4222-420-122-1-1-10-42202-1-1000000000000
χ574-244-2-2-24-201-2-21110-24-201-21000000000000-42-4-4222-420-122-1-1-102-420-12-1000000000000
χ584-244-2-2-24-201-2-21110-2-24011-2000000000000-42-4-4222-420-122-1-1-1022-40-1-12000000000000
χ59666-26-3-2-210-3-2111100000000020-200000-101-6-6-62-6322-1032-1-1-1-1000000000-2020000010-1
χ60666-26-3-2-210-3-21111000000000-2020000010-1-6-6-62-6322-1032-1-1-1-100000000020-200000-101
χ6166-36-306-3000-300000000000020200000-10-10-6-63-630-630003000000000000-20-2000001010
χ6266-36-306-3000-3000000000000-20-2000001010-6-63-630-63000300000000000020200000-10-10
χ6366-3-2-30-214001-24-2-20000000020-200000-1010-6-632302-1-400-12-42200000000-2020000010-10
χ6466-3-2-30-214001-24-2-200000000-2020000010-10-6-632302-1-400-12-4220000000020-200000-1010
χ656-36-2-361-2-26-31-2111-3000-2000000010000000-63-623-6-122-63-12-1-1-1300020000000-10000000
χ666-36-2-361-2-2-6-31-2111300020000000-10000000-63-623-6-12263-12-1-1-1-3000-2000000010000000
χ671212-6-4-60-42-40022-42200000000000000000000-12-1264604-2400-2-24-2-200000000000000000000
χ6812-612-4-6-62-420322-1-1-100000000000000000000-126-12466-24-20-3-2-211100000000000000000000
χ6912-6-61230-6-60003000000000000000000000000-1266-12-3066000-3000000000000000000000000
χ7012-6-6-43022800-1-4-42200000000000000000000-12664-30-2-2-800144-2-200000000000000000000
χ7112-6-6-43022-400-122−1+3i3−1−3i300000000000000000000-12664-30-2-24001-2-21−3i31+3i300000000000000000000
χ7212-6-6-43022-400-122−1−3i3−1+3i300000000000000000000-12664-30-2-24001-2-21+3i31−3i300000000000000000000

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