Finite Group Databasebeta

← Group #13148484

Character table — Group #13148484

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444446666666612121212121212121212121212121212181818181818181818181818181818181818242424242424363636363636363636363636363636363636363636363636363636
order1222223444466666121212123366666636666666121212121212121244444412121212121212121212121266121212122444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-11-1-11-1-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1
χ51111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ61111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-111
χ71111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1111-111-1-1-1-111111111-1-1-1-1
χ81111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11-11-11111111-1-111-1-1-1-111-1-1
χ91111-1-1111-1-1111-1-111-1-1111111111-1-1-1-11111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ101111-1-1111-1-1111-1-111-1-1111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-1111-1-1-1-1111111-1-11111-1-1
χ111111-1-1111-1-1111-1-111-1-1111111111-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-111111-1-1-1-1-1-1-1-1111111
χ121111-1-1111-1-1111-1-111-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-11-111-1-11111-1-111-1-1-1-111
χ131111-1-11-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-11111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1
χ141111-1-11-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1111111-1-111-1-111-1-111-1-1
χ151111-1-11-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-11-1-1-1-111-1-11111-1-11111
χ161111-1-11-1-111111-1-1-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-111-1-1-111-1-11111-1-111-1-111
χ17222222222222222222222-1-1-1222-1-122-1-1-1-1-1-1-12222-1-122000000000000-1-1-1-1-1-1-1-1-1-1200200200-1-1000000-1-1000000-1-1
χ18222222222222222222222-1-1-1222-1-122-1-1-1-1-1-1-12222-1-1-2-20000000000001111-1-1-1-1-1-1-200-200-200110000001100000011
χ1922222222222222222222-1222-1-1-12-1-1-122-1-1-122-1-1-1-1220000220000-1-1-1-10000-1-1-1-1-1-10020020020000000000-1-1-1-1-1-100
χ2022222222222222222222-1222-1-1-12-1-1-122-1-1-122-1-1-1-1220000-2-2000011110000-1-1-1-1-1-100-200-200-2000000000011111100
χ212222222-2-2-2-222222-2-2-2-22-1-1-1222-1-122-1-1-1-1-111-2-2-2-21122000000000000-1-1-1-1-1-11111-200200-2001100000011000000-1-1
χ222222222-2-2-2-222222-2-2-2-22-1-1-1222-1-122-1-1-1-1-111-2-2-2-211-2-20000000000001111-1-11111200-200200-1-1000000-1-100000011
χ232222222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-122-1-1-1-2-21111-2-20000220000-1-1-1-10000-1-1111100-200-200200000000001111-1-100
χ242222222-2-2-2-222222-2-2-2-2-1222-1-1-12-1-1-122-1-1-1-2-21111-2-20000-2-2000011110000-1-1111100200200-20000000000-1-1-1-11100
χ252222-2-2222-2-2222-2-222-2-22-1-1-1222-1-1-2-211-1-1-1-1-122-2-21122000000000000-1-1-1-111-1-111-200-20020011000000-1-100000011
χ262222-2-2222-2-2222-2-222-2-22-1-1-1222-1-1-2-211-1-1-1-1-122-2-211-2-2000000000000111111-1-111200200-200-1-100000011000000-1-1
χ272222-2-2222-2-2222-2-222-2-2-1222-1-1-12-111-2-2-1-1-122-1-111-2-20000220000-1-1-1-1000011-1-11100-200200-20000000000-1-1111100
χ282222-2-2222-2-2222-2-222-2-2-1222-1-1-12-111-2-2-1-1-122-1-111-2-20000-2-200001111000011-1-11100200-2002000000000011-1-1-1-100
χ292222-2-22-2-222222-2-2-2-2222-1-1-1222-1-1-2-211-1-1-111-2-222-1-122000000000000-1-1-1-11111-1-1200-200-200-1-10000001100000011
χ302222-2-22-2-222222-2-2-2-2222-1-1-1222-1-1-2-211-1-1-111-2-222-1-1-2-200000000000011111111-1-1-20020020011000000-1-1000000-1-1
χ312222-2-22-2-222222-2-2-2-222-1222-1-1-12-111-2-2-1-1-1-2-211-1-1220000220000-1-1-1-100001111-1-100200-200-2000000000011-1-11100
χ322222-2-22-2-222222-2-2-2-222-1222-1-1-12-111-2-2-1-1-1-2-211-1-1220000-2-20000111100001111-1-100-20020020000000000-1-111-1-100
χ332-22-200200002-2-200000022-2-22-2-2220000-22-2000000002-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000000000000000000
χ342-22-200200002-2-200000022-2-22-2-2220000-22-2000000002-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000000000000
χ352-22-200200002-2-200000022-2-22-2-2220000-22-200000000-222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000000000000
χ362-22-200200002-2-200000022-2-22-2-2220000-22-200000000-22−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000000000000
χ372-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i22-22-2-22-222-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i2i−2i000000000000000000000000000
χ382-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i2-11-1-2-221-12-2-11-111−ii2i−2i2i−2i−ii000000000000003−33−3-11−ii−ii000000000−i3i3000000−i3i30000003−3
χ392-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i2-11-1-2-221-12-2-11-111−ii2i−2i2i−2i−ii00000000000000−33−33-11−ii−ii000000000i3−i3000000i3−i3000000−33
χ402-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i-12-2211-1-2-1-112-2-1112i−2i−ii−ii2i−2i0000000000−i3i3−i3i30000-11−ii−ii00000000000000000003−33−3−i3i300
χ412-2-222-222i−2i2i−2i-2-222-22i−2i2i−2i-12-2211-1-2-1-112-2-1112i−2i−ii−ii2i−2i0000000000i3−i3i3−i30000-11−ii−ii0000000000000000000−33−33i3−i300
χ422-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i22-22-2-22-222-22-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i−2i2i000000000000000000000000000
χ432-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i2-11-1-2-221-12-2-11-111i−i−2i2i−2i2ii−i000000000000003−33−3-11i−ii−i000000000i3−i3000000i3−i30000003−3
χ442-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i2-11-1-2-221-12-2-11-111i−i−2i2i−2i2ii−i00000000000000−33−33-11i−ii−i000000000−i3i3000000−i3i3000000−33
χ452-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i-12-2211-1-2-1-112-2-111−2i2ii−ii−i−2i2i0000000000−i3i3−i3i30000-11i−ii−i0000000000000000000−33−33−i3i300
χ462-2-222-22−2i2i−2i2i-2-222-2−2i2i−2i2i-12-2211-1-2-1-112-2-111−2i2ii−ii−i−2i2i0000000000i3−i3i3−i30000-11i−ii−i00000000000000000003−33−3i3−i300
χ472-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i22-22-2-22-22-22-222-2-22i−2i2i−2i−2i2i−2i2i000000000000000000-222i−2i−2i2i000000000000000000000000000
χ482-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i2-11-1-2-221-1-221-1-111−ii2i−2i−2i2ii−i000000000000003−33−31-1−iii−i000000000i3−i3000000−i3i3000000−33
χ492-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i2-11-1-2-221-1-221-1-111−ii2i−2i−2i2ii−i00000000000000−33−331-1−iii−i000000000−i3i3000000i3−i30000003−3
χ502-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i-12-2211-1-2-11-1-22-1112i−2i−iii−i−2i2i0000000000−i3i3−i3i300001-1−iii−i00000000000000000003−3−33i3−i300
χ512-2-22-2222i−2i−2i2i-2-22-222i−2i−2i2i-12-2211-1-2-11-1-22-1112i−2i−iii−i−2i2i0000000000i3−i3i3−i300001-1−iii−i0000000000000000000−333−3−i3i300
χ522-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i22-22-2-22-22-22-222-2-2−2i2i−2i2i2i−2i2i−2i000000000000000000-22−2i2i2i−2i000000000000000000000000000
χ532-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i2-11-1-2-221-1-221-1-111i−i−2i2i2i−2i−ii000000000000003−33−31-1i−i−ii000000000−i3i3000000i3−i3000000−33
χ542-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i2-11-1-2-221-1-221-1-111i−i−2i2i2i−2i−ii00000000000000−33−331-1i−i−ii000000000i3−i3000000−i3i30000003−3
χ552-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i-12-2211-1-2-11-1-22-111−2i2ii−i−ii2i−2i0000000000−i3i3−i3i300001-1i−i−ii0000000000000000000−333−3i3−i300
χ562-2-22-222−2i2i2i−2i-2-22-22−2i2i2i−2i-12-2211-1-2-11-1-22-111−2i2ii−i−ii2i−2i0000000000i3−i3i3−i300001-1i−i−ii00000000000000000003−3−33−i3i300
χ5744444444444444444444-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2000000000000000000111111000000000000000000000000000
χ584444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-21-2-2-2-21112222222200000000000000000011-1-1-1-1000000000000000000000000000
χ594444-4-4444-4-4444-4-444-4-4-2-2-2-2-2-2-2-212222111-2-2-2-22222000000000000000000-1-111-1-1000000000000000000000000000
χ604444-4-44-4-444444-4-4-4-444-2-2-2-2-2-2-2-2122221112222-2-2-2-2000000000000000000-1-1-1-111000000000000000000000000000
χ6144-4-40040000-44-4000000444-4-44-4-440000-4-4400000000000000000000000000000000000000000000000000000000000
χ6244-4-40040000-44-40000004-2-22-44-42-2000022-2000000000000000000000023−23−2323000000000000000000000000000000000
χ6344-4-40040000-44-40000004-2-22-44-42-2000022-20000000000000000000000−232323−23000000000000000000000000000000000
χ6444-4-40040000-44-4000000-244-42-22-4-2000022-200000000000000000023−23−23230000000000000000000000000000000000000
χ6544-4-40040000-44-4000000-244-42-22-4-2000022-2000000000000000000−232323−230000000000000000000000000000000000000
χ664-44-400400004-4-40000004-2224-4-4-2-200002-22000000004-4000000000000-2-222000000000000000000000000000000000
χ674-44-400400004-4-40000004-2224-4-4-2-200002-2200000000-4400000000000022-2-2000000000000000000000000000000000
χ684-44-400400004-4-4000000-24-4-4-2224-200002-220000000000004i−4i0000−2i−2i2i2i0000000000000000000000000000000000000
χ694-44-400400004-4-4000000-24-4-4-2224-200002-22000000000000−4i4i00002i2i−2i−2i0000000000000000000000000000000000000
χ704-4-444-444i−4i4i−4i-4-444-44i−4i4i−4i-2-22-222-221-22-221-1-1−2i2i−2i2i−2i2i−2i2i0000000000000000001-1i−ii−i000000000000000000000000000
χ714-4-444-44−4i4i−4i4i-4-444-4−4i4i−4i4i-2-22-222-221-22-221-1-12i−2i2i−2i2i−2i2i−2i0000000000000000001-1−ii−ii000000000000000000000000000
χ724-4-44-4444i−4i−4i4i-4-44-444i−4i−4i4i-2-22-222-2212-22-21-1-1−2i2i−2i2i2i−2i2i−2i000000000000000000-11i−i−ii000000000000000000000000000
χ734-4-44-444−4i4i4i−4i-4-44-44−4i4i4i−4i-2-22-222-2212-22-21-1-12i−2i2i−2i−2i2i−2i2i000000000000000000-11−iii−i000000000000000000000000000
χ74666666-36666-3-3-3-3-3-3-3-3-3000000000000000000000000002200-1-1-1-10000000000000002002002000-1-1-1-1-1-10000000000
χ75666666-36666-3-3-3-3-3-3-3-3-300000000000000000000000000-2-2001111000000000000000-200-200-20001111110000000000
χ76666666-3-6-6-6-6-3-3-3-3-33333000000000000000000000000002200-1-1-1-1000000000000000-200-20020001111-1-10000000000
χ77666666-3-6-6-6-6-3-3-3-3-3333300000000000000000000000000-2-2001111000000000000000200200-2000-1-1-1-1110000000000
χ786666-6-6-366-6-6-3-3-333-3-333000000000000000000000000002200-1-1-1-1000000000000000-200200-2000-1-111110000000000
χ796666-6-6-366-6-6-3-3-333-3-33300000000000000000000000000-2-2001111000000000000000200-200200011-1-1-1-10000000000
χ806666-6-6-3-6-666-3-3-33333-3-3000000000000000000000000002200-1-1-1-1000000000000000200-200-200011-1-1110000000000
χ816666-6-6-3-6-666-3-3-33333-3-300000000000000000000000000-2-2001111000000000000000-2002002000-1-111-1-10000000000
χ826-6-666-6-36i−6i6i−6i33-3-33−3i3i−3i3i000000000000000000000000000000−i3i3−i3i300000000000000000000000003−33−3−i3i30000000000
χ836-6-666-6-36i−6i6i−6i33-3-33−3i3i−3i3i000000000000000000000000000000i3−i3i3−i30000000000000000000000000−33−33i3−i30000000000
χ846-6-666-6-3−6i6i−6i6i33-3-333i−3i3i−3i000000000000000000000000000000−i3i3−i3i30000000000000000000000000−33−33−i3i30000000000
χ856-6-666-6-3−6i6i−6i6i33-3-333i−3i3i−3i000000000000000000000000000000i3−i3i3−i300000000000000000000000003−33−3i3−i30000000000
χ866-6-66-66-36i−6i−6i6i33-33-3−3i3i3i−3i000000000000000000000000000000−i3i3−i3i300000000000000000000000003−3−33i3−i30000000000
χ876-6-66-66-36i−6i−6i6i33-33-3−3i3i3i−3i000000000000000000000000000000i3−i3i3−i30000000000000000000000000−333−3−i3i30000000000
χ886-6-66-66-3−6i6i6i−6i33-33-33i−3i−3i3i000000000000000000000000000000−i3i3−i3i30000000000000000000000000−333−3i3−i30000000000
χ896-6-66-66-3−6i6i6i−6i33-33-33i−3i−3i3i000000000000000000000000000000i3−i3i3−i300000000000000000000000003−3−33−i3i30000000000
χ9088-8-80080000-88-8000000-4-4-444-44420000-2-2200000000000000000000000000000000000000000000000000000000000
χ918-88-800800008-8-8000000-4-444-444-420000-22-200000000000000000000000000000000000000000000000000000000000
χ921212-12-1200-600006-6600000000000000000000000000000000000023−23−232300000000000000000000000000000000000000000
χ931212-12-1200-600006-66000000000000000000000000000000000000−232323−2300000000000000000000000000000000000000000
χ9412-1212-1200-60000-666000000000000000000000000000000004i−4i00−2i−2i2i2i00000000000000000000000000000000000000000
χ9512-1212-1200-60000-66600000000000000000000000000000000−4i4i002i2i−2i−2i00000000000000000000000000000000000000000

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