Finite Group Databasebeta

← Group #13150727

Character table — Group #13150727

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11112222222244444446666666666666666121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122222344666466121212123366666666661212121236666666661212121212121212121212121212224444444444444466121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-11-111111-1-1-1-1-1-1-1-11111-11-11
χ71111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11-1-1-1-111111111-1-1-1-1-11-11
χ81111111-1-1111-111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-1111111-1-1-111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-11-11-1-1111-1-1-1-11111-1-111-1-11-1-11
χ101111-1-1111111-1-1-111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-11111-111-1-1-1-111-1-111-1-111-111-1
χ111111-1-1111111-1-1-111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111111-1-11-1-11-1-1-11111-1-111-1-111-1-1-111-1
χ121111-1-1111111-1-1-111-1-1111-1-1-1-11111111111-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-11-11-1-11111-1-1-1-111-1-1111-1-11
χ131111-1-11-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-11-111-11-1-111-1-111-1-111-1-1-1-11111-1-1
χ141111-1-11-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ151111-1-11-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111
χ161111-1-11-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-111-1-1-1-11111-1-111-1-111-11111-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1722222222222222222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000020002000-1-1-1-1-1-1-1-1000000000000
χ1822222222222222222222-122222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2000-200011111111000000000000
χ192222222222222222222-12-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220200020000000000-1-1-1-1-1-1-1-10000
χ202222222222222222222-12-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20-2000-20000000000111111110000
χ212222222-2-2222-222-2-2-2-22-122222-1-1-1221111-1-1-1-1-1-1-1-1-1-111-2-2-2-21111111122220000-2000-2000-1-1-1-11111000000000000
χ222222222-2-2222-222-2-2-2-22-122222-1-1-1221111-1-1-1-1-1-1-1-1-1-111-2-2-2-211111111-2-2-2-20000200020001111-1-1-1-1000000000000
χ232222222-2-2222-222-2-2-2-2-12-1-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-2111111111111000022-2-202000-20000000000-1-1-1-111110000
χ242222222-2-2222-222-2-2-2-2-12-1-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-21111111111110000-2-2220-2000200000000001111-1-1-1-10000
χ252222-2-2222222-2-2-222-2-22-12-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-11122-2-2-1-1-1-1111122-2-20000-20002000-1-11111-1-1000000000000
χ262222-2-2222222-2-2-222-2-22-12-2-2-2-2-1-1-122-1-1-1-1-111-1-11111-11122-2-2-1-1-1-11111-2-22200002000-200011-1-1-1-111000000000000
χ272222-2-2222222-2-2-222-2-2-12-11111222-1-12222-1-2-2-1-11111-1-2-2-1-111-1-1-1-11111000022220-2000-20000000000-1-111-1-1110000
χ282222-2-2222222-2-2-222-2-2-12-11111222-1-12222-1-2-2-1-11111-1-2-2-1-111-1-1-1-111110000-2-2-2-2020002000000000011-1-111-1-10000
χ292222-2-22-2-22222-2-2-2-2222-12-2-2-2-2-1-1-1221111-111-1-11111-1-1-1-2-2221111-1-1-1-122-2-200002000-2000-1-111-1-111000000000000
χ302222-2-22-2-22222-2-2-2-2222-12-2-2-2-2-1-1-1221111-111-1-11111-1-1-1-2-2221111-1-1-1-1-2-2220000-2000200011-1-111-1-1000000000000
χ312222-2-22-2-22222-2-2-2-222-12-11111222-1-1-2-2-2-2-1-2-2-1-11111-12211-1-11111-1-1-1-1000022-2-20-200020000000000-1-11111-1-10000
χ322222-2-22-2-22222-2-2-2-222-12-11111222-1-1-2-2-2-2-1-2-2-1-11111-12211-1-11111-1-1-1-10000-2-22202000-2000000000011-1-1-1-1110000
χ3322-2-22-22002-2-202-2000022222-2-22-2-2-2-2000022-22-222-2-2-2000000000000002-22-20000000000002-22-20000000000000000
χ3422-2-22-22002-2-202-2000022222-2-22-2-2-2-2000022-22-222-2-2-200000000000000-22-22000000000000-22-220000000000000000
χ3522-2-22-22002-2-202-200002-1222-2-2-111-2-233−3−3-1-11-11-1-11113−3000033−3−333−3−32-22-2000000000000-11-113−33−3000000000000
χ3622-2-22-22002-2-202-200002-1222-2-2-111-2-233−3−3-1-11-11-1-11113−3000033−3−333−3−3-22-220000000000001-11-1−33−33000000000000
χ3722-2-22-22002-2-202-200002-1222-2-2-111-2-2−3−333-1-11-11-1-1111−330000−3−333−3−3332-22-2000000000000-11-11−33−33000000000000
χ3822-2-22-22002-2-202-200002-1222-2-2-111-2-2−3−333-1-11-11-1-1111−330000−3−333−3−333-22-220000000000001-11-13−33−3000000000000
χ3922-2-2-222002-2-20-220000222-2-2222-2-2-2-200002-222-2-2-222-2000000000000002-2-220000000000002-2-220000000000000000
χ4022-2-2-222002-2-20-220000222-2-2222-2-2-2-200002-222-2-2-222-200000000000000-222-2000000000000-222-20000000000000000
χ4122-2-2-222002-2-20-2200002-12-2-222-111-2-233−3−3-11-1-1111-1-11−33000033−3−3−3−3332-2-22000000000000-111-1−333−3000000000000
χ4222-2-2-222002-2-20-2200002-12-2-222-111-2-233−3−3-11-1-1111-1-11−33000033−3−3−3−333-222-20000000000001-1-113−3−33000000000000
χ4322-2-2-222002-2-20-2200002-12-2-222-111-2-2−3−333-11-1-1111-1-113−30000−3−33333−3−32-2-22000000000000-111-13−3−33000000000000
χ4422-2-2-222002-2-20-2200002-12-2-222-111-2-2−3−333-11-1-1111-1-113−30000−3−33333−3−3-222-20000000000001-1-11−333−3000000000000
χ452-22-20022i−2i-22-20002i−2i0022-20000-22-22-22i−2i2i−2i200-220000-2002i−2i002i−2i2i−2i000000002-22i−2i00000000000000002-2002i−2i000000
χ462-22-20022i−2i-22-20002i−2i0022-20000-22-22-22i−2i2i−2i200-220000-2002i−2i002i−2i2i−2i00000000-22−2i2i0000000000000000-2200−2i2i000000
χ472-22-20022i−2i-22-20002i−2i00-121−i3i3−i3i3-22-2-112i−2i2i−2i-1001-1−i3i3−i3i3100−ii3−3−ii−ii3−33−300002-22i−2i0000000000000000-11−i3i3−ii3−30000
χ482-22-20022i−2i-22-20002i−2i00-121−i3i3−i3i3-22-2-112i−2i2i−2i-1001-1−i3i3−i3i3100−ii3−3−ii−ii3−33−30000-22−2i2i00000000000000001-1i3−i3i−i−330000
χ492-22-20022i−2i-22-20002i−2i00-121i3−i3i3−i3-22-2-112i−2i2i−2i-1001-1i3−i3i3−i3100−ii−33−ii−ii−33−3300002-22i−2i0000000000000000-11i3−i3−ii−330000
χ502-22-20022i−2i-22-20002i−2i00-121i3−i3i3−i3-22-2-112i−2i2i−2i-1001-1i3−i3i3−i3100−ii−33−ii−ii−33−330000-22−2i2i00000000000000001-1−i3i3i−i3−30000
χ512-22-2002−2i2i-22-2000−2i2i0022-20000-22-22-2−2i2i−2i2i200-220000-200−2i2i00−2i2i−2i2i000000002-2−2i2i00000000000000002-200−2i2i000000
χ522-22-2002−2i2i-22-2000−2i2i0022-20000-22-22-2−2i2i−2i2i200-220000-200−2i2i00−2i2i−2i2i00000000-222i−2i0000000000000000-22002i−2i000000
χ532-22-2002−2i2i-22-2000−2i2i00-121−i3i3−i3i3-22-2-11−2i2i−2i2i-1001-1−i3i3−i3i3100i−i−33i−ii−i−33−3300002-2−2i2i0000000000000000-11−i3i3i−i−330000
χ542-22-2002−2i2i-22-2000−2i2i00-121−i3i3−i3i3-22-2-11−2i2i−2i2i-1001-1−i3i3−i3i3100i−i−33i−ii−i−33−330000-222i−2i00000000000000001-1i3−i3−ii3−30000
χ552-22-2002−2i2i-22-2000−2i2i00-121i3−i3i3−i3-22-2-11−2i2i−2i2i-1001-1i3−i3i3−i3100i−i3−3i−ii−i3−33−300002-2−2i2i0000000000000000-11i3−i3i−i3−30000
χ562-22-2002−2i2i-22-2000−2i2i00-121i3−i3i3−i3-22-2-11−2i2i−2i2i-1001-1i3−i3i3−i3100i−i3−3i−ii−i3−33−30000-222i−2i00000000000000001-1−i3i3−ii−330000
χ574444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-211111111000000000000000000000000000000000000
χ584444444-4-4444-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-222221-2-21111111222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ594444-4-4444444-4-4-444-4-4-2-2-22222-2-2-2-2-2-2-2-2-212211-1-1-1-1122-2-2221111-1-1-1-1000000000000000000000000000000000000
χ604444-4-44-4-44444-4-4-4-444-2-2-22222-2-2-2-2-2222212211-1-1-1-11-2-222-2-2-1-1-1-11111000000000000000000000000000000000000
χ6144-4-44-44004-4-404-40000-24-2-2-2224-4-4220000-24-4-22-2-222200000000000000000000000000000000000000000000000000
χ6244-4-44-44004-4-404-40000-2-2-2-2-222-222222323−23−231-221-111-1-1-123−230000−3−333−3−333000000000000000000000000000000000000
χ6344-4-44-44004-4-404-40000-2-2-2-2-222-22222−23−2323231-221-111-1-1-1−2323000033−3−333−3−3000000000000000000000000000000000000
χ6444-4-4-444004-4-40-440000-24-222-2-24-4-4220000-2-44-2222-2-2200000000000000000000000000000000000000000000000000
χ6544-4-4-444004-4-40-440000-2-2-222-2-2-222222323−23−2312-21-1-1-111-1−23230000−3−33333−3−3000000000000000000000000000000000000
χ6644-4-4-444004-4-40-440000-2-2-222-2-2-22222−23−23232312-21-1-1-111-123−23000033−3−3−3−333000000000000000000000000000000000000
χ674-44-40044i−4i-44-40004i−4i004-2-400002-224-4−2i2i−2i2i-2002-200002004i−4i00−2i2i−2i2i0000000000000000000000000000000000000000
χ684-44-40044i−4i-44-40004i−4i00-2-22−2i32i3−2i32i32-22-22−2i2i−2i2i100-11i3−i3i3−i3-100−2i2i23−23i−ii−i−33−33000000000000000000000000000000000000
χ694-44-40044i−4i-44-40004i−4i00-2-222i3−2i32i3−2i32-22-22−2i2i−2i2i100-11−i3i3−i3i3-100−2i2i−2323i−ii−i3−33−3000000000000000000000000000000000000
χ704-44-4004−4i4i-44-4000−4i4i004-2-400002-224-42i−2i2i−2i-2002-20000200−4i4i002i−2i2i−2i0000000000000000000000000000000000000000
χ714-44-4004−4i4i-44-4000−4i4i00-2-22−2i32i3−2i32i32-22-222i−2i2i−2i100-11i3−i3i3−i3-1002i−2i−2323−ii−ii3−33−3000000000000000000000000000000000000
χ724-44-4004−4i4i-44-4000−4i4i00-2-222i3−2i32i3−2i32-22-222i−2i2i−2i100-11−i3i3−i3i3-1002i−2i23−23−ii−ii−33−33000000000000000000000000000000000000
χ734-4-4400400-4-44000000044-40000-4-44-440000400-4-40000400000000000000000000000000000000000000000000000000
χ744-4-4400400-4-4400000004-2-4000022-2-44−2i32i32i3−2i3-200220000-2000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ754-4-4400400-4-4400000004-2-4000022-2-442i3−2i3−2i32i3-200220000-20000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ764-4-4400400-4-440000000-242−2i32i32i3−2i3-4-442-20000-20022−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000
χ774-4-4400400-4-440000000-2422i3−2i3−2i32i3-4-442-20000-200222i3−2i3−2i32i3-200000000000000000000000000000000000000000000000000
χ784-4-4400400-4-440000000-2-22−2i32i32i3−2i322-22-2−2i32i32i3−2i3100-1-1i3−i3−i3i31000000i3−i3−i3i3-333-3000000000000000000000000000000000000
χ794-4-4400400-4-440000000-2-22−2i32i32i3−2i322-22-22i3−2i3−2i32i3100-1-1i3−i3−i3i31000000−i3i3i3−i33-3-33000000000000000000000000000000000000
χ804-4-4400400-4-440000000-2-222i3−2i3−2i32i322-22-2−2i32i32i3−2i3100-1-1−i3i3i3−i31000000i3−i3−i3i33-3-33000000000000000000000000000000000000
χ814-4-4400400-4-440000000-2-222i3−2i3−2i32i322-22-22i3−2i3−2i32i3100-1-1−i3i3i3−i31000000−i3i3i3−i3-333-3000000000000000000000000000000000000
χ82666666-366-3-3-36-3-3-3-3-3-3000000000000000000000000000000000000000000000000002200220000000000000000-1-1-1-1
χ83666666-366-3-3-36-3-3-3-3-3-300000000000000000000000000000000000000000000000000-2-200-2-200000000000000001111
χ84666666-3-6-6-3-3-3-6-3-33333000000000000000000000000000000000000000000000000002-2002-20000000000000000-11-11
χ85666666-3-6-6-3-3-3-6-3-3333300000000000000000000000000000000000000000000000000-2200-2200000000000000001-11-1
χ866666-6-6-366-3-3-3-633-3-333000000000000000000000000000000000000000000000000002-200-220000000000000000-111-1
χ876666-6-6-366-3-3-3-633-3-33300000000000000000000000000000000000000000000000000-22002-200000000000000001-1-11
χ886666-6-6-3-6-6-3-3-363333-3-3000000000000000000000000000000000000000000000000002200-2-20000000000000000-1-111
χ896666-6-6-3-6-6-3-3-363333-3-300000000000000000000000000000000000000000000000000-2-20022000000000000000011-1-1
χ901212-12-1212-12-600-6660-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-12-1212-600-66606-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-1212-1200-612i−12i6-66000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1212-1200-6−12i12i6-660006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12-121200-60066-600000−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12-121200-60066-6000006i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000000

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