Finite Group Databasebeta

← Group #13151434

Character table — Group #13151434

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1122244666681212121212121818181824242424363636363636363636363636727211222446666812121212121218181818242424243636363636363636363636367272
order1234621233666366612122466666122246688122424242461222646212666666666121224666661222466881224242424612
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11-1-1-1-1-1-1111111111111111111111111111-1-111-1-11-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-1111-1111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-1111-1
χ4111111111111111111-1-1-1-11111-1-11-1-1-11-111-1-1-11111111111111111111-1-1-1-11111-1-11-1-1-11-111-1-1-11
χ511111-111111-11-1-11111111-1-1-11-111-1-1-1-11-1-1-1-11111111-111111-11-1-11111111-1-1-11-111-1-1-1-11-1-1-1-111
χ611111-111111-11-1-11111111-1-1-11-1-1-1-1-11111111-1-111111-111111-11-1-11111111-1-1-11-1-1-1-1-11111111-1-1
χ711111-111111-11-1-1111-1-1-1-1-1-1-1111-111-11-111-1-11-111111-111111-11-1-1111-1-1-1-1-1-1-1111-111-11-111-1-11-1
χ811111-111111-11-1-1111-1-1-1-1-1-1-111-11111-1-1-1-111-1111111-111111-11-1-1111-1-1-1-1-1-1-111-11111-1-1-1-111-11
χ922222222-12-12-1-1-1-1-1222-1-12-1-1-1200-1-100-100000022222222-12-12-1-1-1-1-1222-1-12-1-1-1200-1-100-1000000
χ1022222222-12-12-1-1-1-1-12-2-2112-1-1-1-2001100100000022222222-12-12-1-1-1-1-12-2-2112-1-1-1-20011001000000
χ112222222-12-122-122-12-10000-1-1-1-10200020000-1-1-102222222-12-122-122-12-10000-1-1-1-10200020000-1-1-10
χ122222222-12-122-122-12-10000-1-1-1-10-2000-2000011102222222-12-122-122-12-10000-1-1-1-10-2000-200001110
χ1322222-222-12-1-2-111-1-1222-1-1-211-1-2001100-100000022222-222-12-1-2-111-1-1222-1-1-211-1-2001100-1000000
χ1422222-222-12-1-2-111-1-12-2-211-211-1200-1-100100000022222-222-12-1-2-111-1-12-2-211-211-1200-1-1001000000
χ1522222-22-12-12-2-1-2-2-12-10000111-102000-2000011-1022222-22-12-12-2-1-2-2-12-10000111-102000-2000011-10
χ1622222-22-12-12-2-1-2-2-12-10000111-10-200020000-1-11022222-22-12-12-2-1-2-2-12-10000111-10-200020000-1-110
χ17222-220-2222202002-2-22-222000-20000000-2000000222-220-2222202002-2-22-222000-20000000-2000000
χ18222-220-2222202002-2-2-22-2-2000-200000002000000222-220-2222202002-2-2-22-2-2000-200000002000000
χ19222-220-22-12-10-1−i3i3-11-22-2-1-10−i3i31000−i3i3001000000222-220-22-12-10-1−i3i3-11-22-2-1-10−i3i31000−i3i3001000000
χ20222-220-22-12-10-1−i3i3-11-2-22110−i3i31000i3−i300-1000000222-220-22-12-10-1−i3i3-11-2-22110−i3i31000i3−i300-1000000
χ21222-220-22-12-10-1i3−i3-11-22-2-1-10i3−i31000i3−i3001000000222-220-22-12-10-1i3−i3-11-22-2-1-10i3−i31000i3−i3001000000
χ22222-220-22-12-10-1i3−i3-11-2-22110i3−i31000−i3i300-1000000222-220-22-12-10-1i3−i3-11-2-22110i3−i31000−i3i300-1000000
χ234444444-2-2-2-241-2-21-2-20000-2111000000000000004444444-2-2-2-241-2-21-2-20000-211100000000000000
χ2444444-44-2-2-2-2-41221-2-200002-1-110000000000000044444-44-2-2-2-2-41221-2-200002-1-1100000000000000
χ25444-440-4-24-240-200-2-420000000200000000000000444-440-4-24-240-200-2-420000000200000000000000
χ26444-440-4-2-2-2-201−2i32i312200000i3−i3-100000000000000444-440-4-2-2-2-201−2i32i312200000i3−i3-100000000000000
χ27444-440-4-2-2-2-2012i3−2i312200000−i3i3-100000000000000444-440-4-2-2-2-2012i3−2i312200000−i3i3-100000000000000
χ284-440-40044-4-40400-40000000000000000000000004-440-40044-4-40400-4000000000000000000000000
χ294-440-4004-2-420-20020000−2i32i30000000000000000004-440-4004-2-420-20020000−2i32i3000000000000000000
χ304-440-4004-2-420-200200002i3−2i30000000000000000004-440-4004-2-420-200200002i3−2i3000000000000000000
χ314-440-400-242-40-200200000000000000000000i6−i6004-440-400-242-40-200200000000000000000000i6−i600
χ324-440-400-242-40-200200000000000000000000−i6i6004-440-400-242-40-200200000000000000000000−i6i600
χ3366-36-36-30000-30000000000000000200020-1-1000-166-36-36-30000-30000000000000000200020-1-1000-1
χ3466-36-36-30000-30000000000000000-2000-2011000166-36-36-30000-30000000000000000-2000-20110001
χ3566-36-3-6-30000300000000000000002000-2011000-166-36-3-6-30000300000000000000002000-2011000-1
χ3666-36-3-6-3000030000000000000000-200020-1-1000166-36-3-6-3000030000000000000000-200020-1-10001
χ378-880-800-4-4440200-20000000000000000000000008-880-800-4-4440200-2000000000000000000000000
χ381212-6-12-6060000000000000000000000000000000001212-6-12-606000000000000000000000000000000000
χ3912-12-606000000000000000000000000000006−6000012-12-606000000000000000000000000000006−60000
χ4012-12-60600000000000000000000000000000−66000012-12-60600000000000000000000000000000−660000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111111
χ43111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-11111-1-1-11
χ44111111111111111111-1-1-1-11111-1-11-1-1-11-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-11-1-1111-1
χ4511111-111111-11-1-11111111-1-1-11-111-1-1-1-11-1-1-1-111-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1-1-1-1111-11-1-11111-11111-1-1
χ4611111-111111-11-1-11111111-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1-1-1-1111-111111-1-1-1-1-1-1-111
χ4711111-111111-11-1-1111-1-1-1-1-1-1-1111-111-11-111-1-11-1-1-1-1-1-11-1-1-1-1-11-111-1-1-11111111-1-1-11-1-11-11-1-111-11
χ4811111-111111-11-1-1111-1-1-1-1-1-1-111-11111-1-1-1-111-11-1-1-1-1-11-1-1-1-1-11-111-1-1-11111111-1-11-1-1-1-11111-1-11-1
χ4922222222-12-12-1-1-1-1-1222-1-12-1-1-1200-1-100-1000000-2-2-2-2-2-2-2-21-21-211111-2-2-211-2111-20011001000000
χ5022222222-12-12-1-1-1-1-12-2-2112-1-1-1-20011001000000-2-2-2-2-2-2-2-21-21-211111-222-1-1-2111200-1-100-1000000
χ512222222-12-122-122-12-10000-1-1-1-10200020000-1-1-10-2-2-2-2-2-2-21-21-2-21-2-21-21000011110-2000-200001110
χ522222222-12-122-122-12-10000-1-1-1-10-2000-200001110-2-2-2-2-2-2-21-21-2-21-2-21-21000011110200020000-1-1-10
χ5322222-222-12-1-2-111-1-1222-1-1-211-1-2001100-1000000-2-2-2-2-22-2-21-2121-1-111-2-2-2112-1-11200-1-1001000000
χ5422222-222-12-1-2-111-1-12-2-211-211-1200-1-1001000000-2-2-2-2-22-2-21-2121-1-111-222-1-12-1-11-2001100-1000000
χ5522222-22-12-12-2-1-2-2-12-10000111-102000-2000011-10-2-2-2-2-22-21-21-221221-210000-1-1-110-200020000-1-110
χ5622222-22-12-12-2-1-2-2-12-10000111-10-200020000-1-110-2-2-2-2-22-21-21-221221-210000-1-1-1102000-2000011-10
χ57222-220-2222202002-2-22-222000-20000000-2000000-2-2-22-202-2-2-2-20-200-222-22-2-2000200000002000000
χ58222-220-2222202002-2-2-22-2-2000-200000002000000-2-2-22-202-2-2-2-20-200-2222-22200020000000-2000000
χ59222-220-22-12-10-1−i3i3-11-22-2-1-10−i3i31000−i3i3001000000-2-2-22-202-21-2101i3−i31-12-22110i3−i3-1000i3−i300-1000000
χ60222-220-22-12-10-1−i3i3-11-2-22110−i3i31000i3−i300-1000000-2-2-22-202-21-2101i3−i31-122-2-1-10i3−i3-1000−i3i3001000000
χ61222-220-22-12-10-1i3−i3-11-22-2-1-10i3−i31000i3−i3001000000-2-2-22-202-21-2101−i3i31-12-22110−i3i3-1000−i3i300-1000000
χ62222-220-22-12-10-1i3−i3-11-2-22110i3−i31000−i3i300-1000000-2-2-22-202-21-2101−i3i31-122-2-1-10−i3i3-1000i3−i3001000000
χ634444444-2-2-2-241-2-21-2-20000-211100000000000000-4-4-4-4-4-4-42222-4-122-12200002-1-1-100000000000000
χ6444444-44-2-2-2-2-41221-2-200002-1-1100000000000000-4-4-4-4-44-422224-1-2-2-1220000-211-100000000000000
χ65444-440-4-24-240-200-2-420000000200000000000000-4-4-44-4042-42-4020024-20000000-200000000000000
χ66444-440-4-2-2-2-201−2i32i312200000i3−i3-100000000000000-4-4-44-40422220-12i3−2i3-1-2-200000−i3i3100000000000000
χ67444-440-4-2-2-2-2012i3−2i312200000−i3i3-100000000000000-4-4-44-40422220-1−2i32i3-1-2-200000i3−i3100000000000000
χ684-440-40044-4-40400-4000000000000000000000000-44-40400-4-4440-4004000000000000000000000000
χ694-440-4004-2-420-20020000−2i32i3000000000000000000-44-40400-424-20200-200002i3−2i3000000000000000000
χ704-440-4004-2-420-200200002i3−2i3000000000000000000-44-40400-424-20200-20000−2i32i3000000000000000000
χ714-440-400-242-40-200200000000000000000000i6−i600-44-404002-4-240200-200000000000000000000−i6i600
χ724-440-400-242-40-200200000000000000000000−i6i600-44-404002-4-240200-200000000000000000000i6−i600
χ7366-36-36-30000-30000000000000000200020-1-1000-1-6-63-63-63000030000000000000000-2000-20110001
χ7466-36-36-30000-30000000000000000-2000-20110001-6-63-63-63000030000000000000000200020-1-1000-1
χ7566-36-3-6-30000300000000000000002000-2011000-1-6-63-63630000-30000000000000000-200020-1-10001
χ7666-36-3-6-3000030000000000000000-200020-1-10001-6-63-63630000-300000000000000002000-2011000-1
χ778-880-800-4-4440200-2000000000000000000000000-88-8080044-4-40-2002000000000000000000000000
χ781212-6-12-606000000000000000000000000000000000-12-1261260-6000000000000000000000000000000000
χ7912-12-606000000000000000000000000000006−60000-121260-600000000000000000000000000000−660000
χ8012-12-60600000000000000000000000000000−660000-121260-6000000000000000000000000000006−60000

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