Finite Group Databasebeta

← Group #13048677

Character table — Group #13048677

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size122466669121212121818181827275454122466669121212121818181827275454122466669121212121818181827275454122466669121212121818181827275454
order1333333323333666622664121212121212124121212121212121244121226666666266666666226641212121212121241212121212121212441212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ311111111-11111-1-1-1-11-11-111111111-11111-1-1-1-11-11-111111111-11111-1-1-1-11-11-111111111-11111-1-1-1-11-11-1
χ411111111-11111-1-1-1-1-11-1111111111-11111-1-1-1-1-11-1111111111-11111-1-1-1-1-11-1111111111-11111-1-1-1-1-11-11
χ52222222-10-1-1-1-10000020-12222222-10-1-1-1-10000020-12222222-10-1-1-1-10000020-12222222-10-1-1-1-10000020-1
χ62222222-10-1-1-1-100000-2012222222-10-1-1-1-100000-2012222222-10-1-1-1-100000-2012222222-10-1-1-1-100000-201
χ72222-1-1-1222-1-1-12-1-1-100002222-1-1-1222-1-1-12-1-1-100002222-1-1-1222-1-1-12-1-1-100002222-1-1-1222-1-1-12-1-1-10000
χ82222-1-1-12-22-1-1-1-211100002222-1-1-12-22-1-1-1-211100002222-1-1-12-22-1-1-1-211100002222-1-1-12-22-1-1-1-21110000
χ92-12-12-1-122-12-1-1-12-1-100002-12-12-1-122-12-1-1-12-1-100002-12-12-1-122-12-1-1-12-1-100002-12-12-1-122-12-1-1-12-1-10000
χ102-12-12-1-12-2-12-1-11-21100002-12-12-1-12-2-12-1-11-21100002-12-12-1-12-2-12-1-11-21100002-12-12-1-12-2-12-1-11-2110000
χ112-12-1-12-122-1-12-1-1-12-100002-12-1-12-122-1-12-1-1-12-100002-12-1-12-122-1-12-1-1-12-100002-12-1-12-122-1-12-1-1-12-10000
χ122-12-1-12-12-2-1-12-111-2100002-12-1-12-12-2-1-12-111-2100002-12-1-12-12-2-1-12-111-2100002-12-1-12-12-2-1-12-111-210000
χ132-12-1-1-1222-1-1-12-1-1-1200002-12-1-1-1222-1-1-12-1-1-1200002-12-1-1-1222-1-1-12-1-1-1200002-12-1-1-1222-1-1-12-1-1-120000
χ142-12-1-1-122-2-1-1-12111-200002-12-1-1-122-2-1-1-12111-200002-12-1-1-122-2-1-1-12111-200002-12-1-1-122-2-1-1-12111-20000
χ154444-2-2-2-20-2111000000004444-2-2-2-20-2111000000004444-2-2-2-20-2111000000004444-2-2-2-20-211100000000
χ164-24-24-2-2-201-211000000004-24-24-2-2-201-211000000004-24-24-2-2-201-211000000004-24-24-2-2-201-21100000000
χ174-24-2-24-2-2011-21000000004-24-2-24-2-2011-21000000004-24-2-24-2-2011-21000000004-24-2-24-2-2011-2100000000
χ184-24-2-2-24-20111-2000000004-24-2-2-24-20111-2000000004-24-2-2-24-20111-2000000004-24-2-2-24-20111-200000000
χ1966-3-3000000000000020-1066-3-3000000000000020-1066-3-3000000000000020-1066-3-3000000000000020-10
χ2066-3-30000000000000-201066-3-30000000000000-201066-3-30000000000000-201066-3-30000000000000-2010
χ2112-6-630000000000000000012-6-630000000000000000012-6-630000000000000000012-6-6300000000000000000
χ22111111111111111111111iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2311111111111111111-1-1-1-1iiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ2411111111-11111-1-1-1-11-11-1iiiiiiii−iiiii−i−i−i−ii−ii−i-1-1-1-1-1-1-1-11-1-1-1-11111-11-11−i−i−i−i−i−i−i−ii−i−i−i−iiiii−ii−ii
χ2511111111-11111-1-1-1-1-11-11iiiiiiii−iiiii−i−i−i−i−ii−ii-1-1-1-1-1-1-1-11-1-1-1-111111-11-1−i−i−i−i−i−i−i−ii−i−i−i−iiiiii−ii−i
χ262222222-10-1-1-1-10000020-12i2i2i2i2i2i2i−i0−i−i−i−i000002i0−i-2-2-2-2-2-2-210111100000-201−2i−2i−2i−2i−2i−2i−2ii0iiii00000−2i0i
χ272222222-10-1-1-1-100000-2012i2i2i2i2i2i2i−i0−i−i−i−i00000−2i0i-2-2-2-2-2-2-21011110000020-1−2i−2i−2i−2i−2i−2i−2ii0iiii000002i0−i
χ282222-1-1-1222-1-1-12-1-1-100002i2i2i2i−i−i−i2i2i2i−i−i−i2i−i−i−i0000-2-2-2-2111-2-2-2111-21110000−2i−2i−2i−2iiii−2i−2i−2iiii−2iiii0000
χ292222-1-1-12-22-1-1-1-211100002i2i2i2i−i−i−i2i−2i2i−i−i−i−2iiii0000-2-2-2-2111-22-21112-1-1-10000−2i−2i−2i−2iiii−2i2i−2iiii2i−i−i−i0000
χ302-12-12-1-122-12-1-1-12-1-100002i−i2i−i2i−i−i2i2i−i2i−i−i−i2i−i−i0000-21-21-211-2-21-2111-2110000−2ii−2ii−2iii−2i−2ii−2iiii−2iii0000
χ312-12-12-1-12-2-12-1-11-21100002i−i2i−i2i−i−i2i−2i−i2i−i−ii−2iii0000-21-21-211-221-211-12-1-10000−2ii−2ii−2iii−2i2ii−2iii−i2i−i−i0000
χ322-12-1-12-122-1-12-1-1-12-100002i−i2i−i−i2i−i2i2i−i−i2i−i−i−i2i−i0000-21-211-21-2-211-2111-210000−2ii−2iii−2ii−2i−2iii−2iiii−2ii0000
χ332-12-1-12-12-2-1-12-111-2100002i−i2i−i−i2i−i2i−2i−i−i2i−iii−2ii0000-21-211-21-2211-21-1-12-10000−2ii−2iii−2ii−2i2iii−2ii−i−i2i−i0000
χ342-12-1-1-1222-1-1-12-1-1-1200002i−i2i−i−i−i2i2i2i−i−i−i2i−i−i−i2i0000-21-2111-2-2-2111-2111-20000−2ii−2iiii−2i−2i−2iiii−2iiii−2i0000
χ352-12-1-1-122-2-1-1-12111-200002i−i2i−i−i−i2i2i−2i−i−i−i2iiii−2i0000-21-2111-2-22111-2-1-1-120000−2ii−2iiii−2i−2i2iiii−2i−i−i−i2i0000
χ364444-2-2-2-20-2111000000004i4i4i4i−2i−2i−2i−2i0−2iiii00000000-4-4-4-4222202-1-1-100000000−4i−4i−4i−4i2i2i2i2i02i−i−i−i00000000
χ374-24-24-2-2-201-211000000004i−2i4i−2i4i−2i−2i−2i0i−2iii00000000-42-42-42220-12-1-100000000−4i2i−4i2i−4i2i2i2i0−i2i−i−i00000000
χ384-24-2-24-2-2011-21000000004i−2i4i−2i−2i4i−2i−2i0ii−2ii00000000-42-422-4220-1-12-100000000−4i2i−4i2i2i−4i2i2i0−i−i2i−i00000000
χ394-24-2-2-24-20111-2000000004i−2i4i−2i−2i−2i4i−2i0iii−2i00000000-42-4222-420-1-1-1200000000−4i2i−4i2i2i2i−4i2i0−i−i−i2i00000000
χ4066-3-3000000000000020-106i6i−3i−3i00000000000002i0−i0-6-6330000000000000-2010−6i−6i3i3i0000000000000−2i0i0
χ4166-3-30000000000000-20106i6i−3i−3i0000000000000−2i0i0-6-633000000000000020-10−6i−6i3i3i00000000000002i0−i0
χ4212-6-630000000000000000012i−6i−6i3i00000000000000000-1266-300000000000000000−12i6i6i−3i00000000000000000
χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4411111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4511111111-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-1111111111-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11
χ4611111111-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-11-1-1-1-111111-11-111111111-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-11-1-1-1-111111-11-1
χ472222222-10-1-1-1-10000020-1-2-2-2-2-2-2-210111100000-2012222222-10-1-1-1-10000020-1-2-2-2-2-2-2-210111100000-201
χ482222222-10-1-1-1-100000-201-2-2-2-2-2-2-21011110000020-12222222-10-1-1-1-100000-201-2-2-2-2-2-2-21011110000020-1
χ492222-1-1-1222-1-1-12-1-1-10000-2-2-2-2111-2-2-2111-211100002222-1-1-1222-1-1-12-1-1-10000-2-2-2-2111-2-2-2111-21110000
χ502222-1-1-12-22-1-1-1-21110000-2-2-2-2111-22-21112-1-1-100002222-1-1-12-22-1-1-1-21110000-2-2-2-2111-22-21112-1-1-10000
χ512-12-12-1-122-12-1-1-12-1-10000-21-21-211-2-21-2111-21100002-12-12-1-122-12-1-1-12-1-10000-21-21-211-2-21-2111-2110000
χ522-12-12-1-12-2-12-1-11-2110000-21-21-211-221-211-12-1-100002-12-12-1-12-2-12-1-11-2110000-21-21-211-221-211-12-1-10000
χ532-12-1-12-122-1-12-1-1-12-10000-21-211-21-2-211-2111-2100002-12-1-12-122-1-12-1-1-12-10000-21-211-21-2-211-2111-210000
χ542-12-1-12-12-2-1-12-111-210000-21-211-21-2211-21-1-12-100002-12-1-12-12-2-1-12-111-210000-21-211-21-2211-21-1-12-10000
χ552-12-1-1-1222-1-1-12-1-1-120000-21-2111-2-2-2111-2111-200002-12-1-1-1222-1-1-12-1-1-120000-21-2111-2-2-2111-2111-20000
χ562-12-1-1-122-2-1-1-12111-20000-21-2111-2-22111-2-1-1-1200002-12-1-1-122-2-1-1-12111-20000-21-2111-2-22111-2-1-1-120000
χ574444-2-2-2-20-211100000000-4-4-4-4222202-1-1-1000000004444-2-2-2-20-211100000000-4-4-4-4222202-1-1-100000000
χ584-24-24-2-2-201-21100000000-42-42-42220-12-1-1000000004-24-24-2-2-201-21100000000-42-42-42220-12-1-100000000
χ594-24-2-24-2-2011-2100000000-42-422-4220-1-12-1000000004-24-2-24-2-2011-2100000000-42-422-4220-1-12-100000000
χ604-24-2-2-24-20111-200000000-42-4222-420-1-1-12000000004-24-2-2-24-20111-200000000-42-4222-420-1-1-1200000000
χ6166-3-3000000000000020-10-6-6330000000000000-201066-3-3000000000000020-10-6-6330000000000000-2010
χ6266-3-30000000000000-2010-6-633000000000000020-1066-3-30000000000000-2010-6-633000000000000020-10
χ6312-6-6300000000000000000-1266-30000000000000000012-6-6300000000000000000-1266-300000000000000000
χ64111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii
χ6511111111111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiiii−i−i−i−i
χ6611111111-11111-1-1-1-11-11-1−i−i−i−i−i−i−i−ii−i−i−i−iiiii−ii−ii-1-1-1-1-1-1-1-11-1-1-1-11111-11-11iiiiiiii−iiiii−i−i−i−ii−ii−i
χ6711111111-11111-1-1-1-1-11-11−i−i−i−i−i−i−i−ii−i−i−i−iiiiii−ii−i-1-1-1-1-1-1-1-11-1-1-1-111111-11-1iiiiiiii−iiiii−i−i−i−i−ii−ii
χ682222222-10-1-1-1-10000020-1−2i−2i−2i−2i−2i−2i−2ii0iiii00000−2i0i-2-2-2-2-2-2-210111100000-2012i2i2i2i2i2i2i−i0−i−i−i−i000002i0−i
χ692222222-10-1-1-1-100000-201−2i−2i−2i−2i−2i−2i−2ii0iiii000002i0−i-2-2-2-2-2-2-21011110000020-12i2i2i2i2i2i2i−i0−i−i−i−i00000−2i0i
χ702222-1-1-1222-1-1-12-1-1-10000−2i−2i−2i−2iiii−2i−2i−2iiii−2iiii0000-2-2-2-2111-2-2-2111-211100002i2i2i2i−i−i−i2i2i2i−i−i−i2i−i−i−i0000
χ712222-1-1-12-22-1-1-1-21110000−2i−2i−2i−2iiii−2i2i−2iiii2i−i−i−i0000-2-2-2-2111-22-21112-1-1-100002i2i2i2i−i−i−i2i−2i2i−i−i−i−2iiii0000
χ722-12-12-1-122-12-1-1-12-1-10000−2ii−2ii−2iii−2i−2ii−2iiii−2iii0000-21-21-211-2-21-2111-21100002i−i2i−i2i−i−i2i2i−i2i−i−i−i2i−i−i0000
χ732-12-12-1-12-2-12-1-11-2110000−2ii−2ii−2iii−2i2ii−2iii−i2i−i−i0000-21-21-211-221-211-12-1-100002i−i2i−i2i−i−i2i−2i−i2i−i−ii−2iii0000
χ742-12-1-12-122-1-12-1-1-12-10000−2ii−2iii−2ii−2i−2iii−2iiii−2ii0000-21-211-21-2-211-2111-2100002i−i2i−i−i2i−i2i2i−i−i2i−i−i−i2i−i0000
χ752-12-1-12-12-2-1-12-111-210000−2ii−2iii−2ii−2i2iii−2ii−i−i2i−i0000-21-211-21-2211-21-1-12-100002i−i2i−i−i2i−i2i−2i−i−i2i−iii−2ii0000
χ762-12-1-1-1222-1-1-12-1-1-120000−2ii−2iiii−2i−2i−2iiii−2iiii−2i0000-21-2111-2-2-2111-2111-200002i−i2i−i−i−i2i2i2i−i−i−i2i−i−i−i2i0000
χ772-12-1-1-122-2-1-1-12111-20000−2ii−2iiii−2i−2i2iiii−2i−i−i−i2i0000-21-2111-2-22111-2-1-1-1200002i−i2i−i−i−i2i2i−2i−i−i−i2iiii−2i0000
χ784444-2-2-2-20-211100000000−4i−4i−4i−4i2i2i2i2i02i−i−i−i00000000-4-4-4-4222202-1-1-1000000004i4i4i4i−2i−2i−2i−2i0−2iiii00000000
χ794-24-24-2-2-201-21100000000−4i2i−4i2i−4i2i2i2i0−i2i−i−i00000000-42-42-42220-12-1-1000000004i−2i4i−2i4i−2i−2i−2i0i−2iii00000000
χ804-24-2-24-2-2011-2100000000−4i2i−4i2i2i−4i2i2i0−i−i2i−i00000000-42-422-4220-1-12-1000000004i−2i4i−2i−2i4i−2i−2i0ii−2ii00000000
χ814-24-2-2-24-20111-200000000−4i2i−4i2i2i2i−4i2i0−i−i−i2i00000000-42-4222-420-1-1-12000000004i−2i4i−2i−2i−2i4i−2i0iii−2i00000000
χ8266-3-3000000000000020-10−6i−6i3i3i0000000000000−2i0i0-6-6330000000000000-20106i6i−3i−3i00000000000002i0−i0
χ8366-3-30000000000000-2010−6i−6i3i3i00000000000002i0−i0-6-633000000000000020-106i6i−3i−3i0000000000000−2i0i0
χ8412-6-6300000000000000000−12i6i6i−3i00000000000000000-1266-30000000000000000012i−6i−6i3i00000000000000000

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