Finite Group Databasebeta

← Group #72231229

Character table — Group #72231229

Order 11520.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size13668391818246183636486183636488244848644122424321236727296247214414419224721441441923296192192256515303040154590901203090180180240309018018024040120240240320515303040154590901203090180180240309018018024040120240240320515303040154590901203090180180240309018018024040120240240320
order122432224622246444412366123510102015101010203010101020302020202060153030601522246222462224644441266612644441244441244441244441212121212124444124444124444124444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11
χ32200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-1
χ43-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10
χ53-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110
χ61111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111
χ711-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-11
χ82200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-1
χ93-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-10
χ103-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-110
χ1122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-1
χ1222-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-1
χ134400-24400-20000000000-2-20014400-24400-20000000000-2-20014400-24400-20000000000-2-20014400-24400-20000000000-2-20014400-24400-20000000000-2-2001
χ146-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-110
χ156-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-10
χ1633333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-100000
χ1733-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-100000
χ186600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-200100000
χ199-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-11000000
χ209-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-1000000
χ2133333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-11111100000
χ2233-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-1100000
χ236600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-100000
χ249-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-1000000
χ259-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-11000000
χ26111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2711-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1
χ282200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-12200-1-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001-2-2001
χ293-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10-31-110-31-110-31-110-31-110-31-110-31-110-31-110-31-110-31-110-31-110
χ303-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110-311-10-311-10-311-10-311-10-311-10-311-10-311-10-311-10-311-10-311-10
χ311111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1
χ3211-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-11-1-111-1-1-111-111-1-1111-1-11-1-111-1-1-111-1-1-111-111-1-1111-1-11-1-111-1
χ332200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-1-2-2001-2-20012200-12200-1-2-2001-2-2001-2-20012200-12200-1-2-2001
χ343-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-10-31-110-31-1103-11-103-11-10-31-110-31-110-31-1103-11-103-11-10-31-110
χ353-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-110-311-10-311-103-1-1103-1-110-311-10-311-10-311-103-1-1103-1-110-311-10
χ3622222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2000000000011111-2-2-2-2-2-2-2-2-2-2000000000011111
χ3722-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-1-2-222-2-2-222-2000000000011-1-11-2-222-2-2-222-2000000000011-1-11
χ384400-24400-20000000000-2-20014400-24400-20000000000-2-20014400-24400-20000000000-2-2001-4-4002-4-400200000000002200-1-4-4002-4-400200000000002200-1
χ396-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-110-62-220-62-22000000000003-11-10-62-220-62-22000000000003-11-10
χ406-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-10-622-20-622-2000000000003-1-110-622-20-622-2000000000003-1-110
χ4133333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-100000-3-3-3-3-311111-1-1-1-1-11111100000-3-3-3-3-311111-1-1-1-1-11111100000
χ4233-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-100000-3-333-311-1-11-1-111-111-1-1100000-3-333-311-1-11-1-111-111-1-1100000
χ436600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-200100000-6-60032200-1-2-20012200-100000-6-60032200-1-2-20012200-100000
χ449-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-11000000-93-3303-11-10-31-1103-11-1000000-93-3303-11-10-31-1103-11-1000000
χ459-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-1000000-933-303-1-110-311-103-1-11000000-933-303-1-110-311-103-1-11000000
χ4633333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-11111100000-3-3-3-3-31111111111-1-1-1-1-100000-3-3-3-3-31111111111-1-1-1-1-100000
χ4733-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-1100000-3-333-311-1-1111-1-11-1-111-100000-3-333-311-1-1111-1-11-1-111-100000
χ486600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-100000-6-60032200-12200-1-2-200100000-6-60032200-12200-1-2-200100000
χ499-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-1000000-93-3303-11-103-11-10-31-11000000-93-3303-11-103-11-10-31-11000000
χ509-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-11000000-933-303-1-1103-1-110-311-1000000-933-303-1-1103-1-110-311-1000000
χ5111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ5211-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1ii−i−iiii−i−iiii−i−iiii−i−iiii−i−ii−i−iii−i−i−iii−i−i−iii−i−i−iii−i−i−iii−i
χ532200-12200-12200-12200-12200-12200-12200-12200-12200-12200-1-2-2001-2-2001-2-2001-2-2001-2-20012i2i00−i2i2i00−i2i2i00−i2i2i00−i2i2i00−i−2i−2i00i−2i−2i00i−2i−2i00i−2i−2i00i−2i−2i00i
χ543-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10-31-110-31-110-31-110-31-110-31-1103i−ii−i03i−ii−i03i−ii−i03i−ii−i03i−ii−i0−3ii−ii0−3ii−ii0−3ii−ii0−3ii−ii0−3ii−ii0
χ553-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110-311-10-311-10-311-10-311-10-311-103i−i−ii03i−i−ii03i−i−ii03i−i−ii03i−i−ii0−3iii−i0−3iii−i0−3iii−i0−3iii−i0−3iii−i0
χ561111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i
χ5711-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-11-1-111-1-1-111-111-1-1111-1-11-1-111-1ii−i−iiii−i−ii−i−iii−i−i−iii−iii−i−ii−i−iii−i−i−iii−iii−i−iiii−i−ii−i−iii−i
χ582200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-1-2-2001-2-20012200-12200-1-2-20012i2i00−i2i2i00−i−2i−2i00i−2i−2i00i2i2i00−i−2i−2i00i−2i−2i00i2i2i00−i2i2i00−i−2i−2i00i
χ593-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-10-31-110-31-1103-11-103-11-10-31-1103i−ii−i03i−ii−i0−3ii−ii0−3ii−ii03i−ii−i0−3ii−ii0−3ii−ii03i−ii−i03i−ii−i0−3ii−ii0
χ603-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-110-311-10-311-103-1-1103-1-110-311-103i−i−ii03i−i−ii0−3iii−i0−3iii−i03i−i−ii0−3iii−i0−3iii−i03i−i−ii03i−i−ii0−3iii−i0
χ6122222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-1-2-2-2-2-2-2-2-2-2-20000000000111112i2i2i2i2i2i2i2i2i2i0000000000−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000iiiii
χ6222-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-1-2-222-2-2-222-2000000000011-1-112i2i−2i−2i2i2i2i−2i−2i2i0000000000−i−iii−i−2i−2i2i2i−2i−2i−2i2i2i−2i0000000000ii−i−ii
χ634400-24400-20000000000-2-20014400-24400-20000000000-2-2001-4-4002-4-400200000000002200-14i4i00−2i4i4i00−2i0000000000−2i−2i00i−4i−4i002i−4i−4i002i00000000002i2i00−i
χ646-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-110-62-220-62-22000000000003-11-106i−2i2i−2i06i−2i2i−2i00000000000−3ii−ii0−6i2i−2i2i0−6i2i−2i2i000000000003i−ii−i0
χ656-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-10-622-20-622-2000000000003-1-1106i−2i−2i2i06i−2i−2i2i00000000000−3iii−i0−6i2i2i−2i0−6i2i2i−2i000000000003i−i−ii0
χ6633333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-100000-3-3-3-3-311111-1-1-1-1-111111000003i3i3i3i3i−i−i−i−i−iiiiii−i−i−i−i−i00000−3i−3i−3i−3i−3iiiiii−i−i−i−i−iiiiii00000
χ6733-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-100000-3-333-311-1-11-1-111-111-1-11000003i3i−3i−3i3i−i−iii−iii−i−ii−i−iii−i00000−3i−3i3i3i−3iii−i−ii−i−iii−iii−i−ii00000
χ686600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-200100000-6-60032200-1-2-20012200-1000006i6i00−3i−2i−2i00i2i2i00−i−2i−2i00i00000−6i−6i003i2i2i00−i−2i−2i00i2i2i00−i00000
χ699-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-11000000-93-3303-11-10-31-1103-11-10000009i−3i3i−3i0−3ii−ii03i−ii−i0−3ii−ii000000−9i3i−3i3i03i−ii−i0−3ii−ii03i−ii−i000000
χ709-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-1000000-933-303-1-110-311-103-1-110000009i−3i−3i3i0−3iii−i03i−i−ii0−3iii−i000000−9i3i3i−3i03i−i−ii0−3iii−i03i−i−ii000000
χ7133333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-11111100000-3-3-3-3-31111111111-1-1-1-1-1000003i3i3i3i3i−i−i−i−i−i−i−i−i−i−iiiiii00000−3i−3i−3i−3i−3iiiiiiiiiii−i−i−i−i−i00000
χ7233-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-1100000-3-333-311-1-1111-1-11-1-111-1000003i3i−3i−3i3i−i−iii−i−i−iii−iii−i−ii00000−3i−3i3i3i−3iii−i−iiii−i−ii−i−iii−i00000
χ736600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-100000-6-60032200-12200-1-2-2001000006i6i00−3i−2i−2i00i−2i−2i00i2i2i00−i00000−6i−6i003i2i2i00−i2i2i00−i−2i−2i00i00000
χ749-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-1000000-93-3303-11-103-11-10-31-110000009i−3i3i−3i0−3ii−ii0−3ii−ii03i−ii−i000000−9i3i−3i3i03i−ii−i03i−ii−i0−3ii−ii000000
χ759-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-11000000-933-303-1-1103-1-110-311-10000009i−3i−3i3i0−3iii−i0−3iii−i03i−i−ii000000−9i3i3i−3i03i−i−ii03i−i−ii0−3iii−i000000
χ7611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiii
χ7711-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1−i−iii−i−i−iii−i−i−iii−i−i−iii−i−i−iii−iii−i−iiii−i−iiii−i−iiii−i−iiii−i−ii
χ782200-12200-12200-12200-12200-12200-12200-12200-12200-12200-1-2-2001-2-2001-2-2001-2-2001-2-2001−2i−2i00i−2i−2i00i−2i−2i00i−2i−2i00i−2i−2i00i2i2i00−i2i2i00−i2i2i00−i2i2i00−i2i2i00−i
χ793-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10-31-110-31-110-31-110-31-110-31-110−3ii−ii0−3ii−ii0−3ii−ii0−3ii−ii0−3ii−ii03i−ii−i03i−ii−i03i−ii−i03i−ii−i03i−ii−i0
χ803-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110-311-10-311-10-311-10-311-10-311-10−3iii−i0−3iii−i0−3iii−i0−3iii−i0−3iii−i03i−i−ii03i−i−ii03i−i−ii03i−i−ii03i−i−ii0
χ811111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiii
χ8211-1-1111-1-11-1-111-1-1-111-111-1-1111-1-1111-1-11-1-111-1-1-111-111-1-11-1-111-1-1-111-111-1-1111-1-11-1-111-1−i−iii−i−i−iii−iii−i−iiii−i−ii−i−iii−iii−i−iiii−i−ii−i−iii−i−i−iii−iii−i−ii
χ832200-12200-1-2-2001-2-20012200-12200-12200-1-2-2001-2-20012200-1-2-2001-2-20012200-12200-1-2-2001−2i−2i00i−2i−2i00i2i2i00−i2i2i00−i−2i−2i00i2i2i00−i2i2i00−i−2i−2i00i−2i−2i00i2i2i00−i
χ843-11-103-11-10-31-110-31-1103-11-103-11-103-11-10-31-110-31-1103-11-10-31-110-31-1103-11-103-11-10-31-110−3ii−ii0−3ii−ii03i−ii−i03i−ii−i0−3ii−ii03i−ii−i03i−ii−i0−3ii−ii0−3ii−ii03i−ii−i0
χ853-1-1103-1-110-311-10-311-103-1-1103-1-1103-1-110-311-10-311-103-1-110-311-10-311-103-1-1103-1-110-311-10−3iii−i0−3iii−i03i−i−ii03i−i−ii0−3iii−i03i−i−ii03i−i−ii0−3iii−i0−3iii−i03i−i−ii0
χ8622222222220000000000-1-1-1-1-122222222220000000000-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2000000000011111−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000iiiii2i2i2i2i2i2i2i2i2i2i0000000000−i−i−i−i−i
χ8722-2-2222-2-220000000000-1-111-122-2-2222-2-220000000000-1-111-1-2-222-2-2-222-2000000000011-1-11−2i−2i2i2i−2i−2i−2i2i2i−2i0000000000ii−i−ii2i2i−2i−2i2i2i2i−2i−2i2i0000000000−i−iii−i
χ884400-24400-20000000000-2-20014400-24400-20000000000-2-2001-4-4002-4-400200000000002200-1−4i−4i002i−4i−4i002i00000000002i2i00−i4i4i00−2i4i4i00−2i0000000000−2i−2i00i
χ896-22-206-22-200000000000-31-1106-22-206-22-200000000000-31-110-62-220-62-22000000000003-11-10−6i2i−2i2i0−6i2i−2i2i000000000003i−ii−i06i−2i2i−2i06i−2i2i−2i00000000000−3ii−ii0
χ906-2-2206-2-2200000000000-311-106-2-2206-2-2200000000000-311-10-622-20-622-2000000000003-1-110−6i2i2i−2i0−6i2i2i−2i000000000003i−i−ii06i−2i−2i2i06i−2i−2i2i00000000000−3iii−i0
χ9133333-1-1-1-1-111111-1-1-1-1-10000033333-1-1-1-1-111111-1-1-1-1-100000-3-3-3-3-311111-1-1-1-1-11111100000−3i−3i−3i−3i−3iiiiii−i−i−i−i−iiiiii000003i3i3i3i3i−i−i−i−i−iiiiii−i−i−i−i−i00000
χ9233-3-33-1-111-111-1-11-1-111-10000033-3-33-1-111-111-1-11-1-111-100000-3-333-311-1-11-1-111-111-1-1100000−3i−3i3i3i−3iii−i−ii−i−iii−iii−i−ii000003i3i−3i−3i3i−i−iii−iii−i−ii−i−iii−i00000
χ936600-3-2-20012200-1-2-2001000006600-3-2-20012200-1-2-200100000-6-60032200-1-2-20012200-100000−6i−6i003i2i2i00−i−2i−2i00i2i2i00−i000006i6i00−3i−2i−2i00i2i2i00−i−2i−2i00i00000
χ949-33-30-31-1103-11-10-31-110000009-33-30-31-1103-11-10-31-11000000-93-3303-11-10-31-1103-11-1000000−9i3i−3i3i03i−ii−i0−3ii−ii03i−ii−i0000009i−3i3i−3i0−3ii−ii03i−ii−i0−3ii−ii000000
χ959-3-330-311-103-1-110-311-10000009-3-330-311-103-1-110-311-1000000-933-303-1-110-311-103-1-11000000−9i3i3i−3i03i−i−ii0−3iii−i03i−i−ii0000009i−3i−3i3i0−3iii−i03i−i−ii0−3iii−i000000
χ9633333-1-1-1-1-1-1-1-1-1-1111110000033333-1-1-1-1-1-1-1-1-1-11111100000-3-3-3-3-31111111111-1-1-1-1-100000−3i−3i−3i−3i−3iiiiiiiiiii−i−i−i−i−i000003i3i3i3i3i−i−i−i−i−i−i−i−i−i−iiiiii00000
χ9733-3-33-1-111-1-1-111-111-1-110000033-3-33-1-111-1-1-111-111-1-1100000-3-333-311-1-1111-1-11-1-111-100000−3i−3i3i3i−3iii−i−iiii−i−ii−i−iii−i000003i3i−3i−3i3i−i−iii−i−i−iii−iii−i−ii00000
χ986600-3-2-2001-2-20012200-1000006600-3-2-2001-2-20012200-100000-6-60032200-12200-1-2-200100000−6i−6i003i2i2i00−i2i2i00−i−2i−2i00i000006i6i00−3i−2i−2i00i−2i−2i00i2i2i00−i00000
χ999-33-30-31-110-31-1103-11-10000009-33-30-31-110-31-1103-11-1000000-93-3303-11-103-11-10-31-11000000−9i3i−3i3i03i−ii−i03i−ii−i0−3ii−ii0000009i−3i3i−3i0−3ii−ii0−3ii−ii03i−ii−i000000
χ1009-3-330-311-10-311-103-1-110000009-3-330-311-10-311-103-1-11000000-933-303-1-1103-1-110-311-1000000−9i3i3i−3i03i−i−ii03i−i−ii0−3iii−i0000009i−3i−3i3i0−3iii−i0−3iii−i03i−i−ii000000
χ1014444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ10244-4-4444-4-4444-4-4444-4-4444-4-44-1-111-1-1-111-1-1-111-1-1-111-1-1-111-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038800-48800-48800-48800-48800-4-2-2001-2-2001-2-2001-2-2001-2-2001000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-44-4012-44-4012-44-4012-44-4012-44-40-31-110-31-110-31-110-31-110-31-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ10512-4-44012-4-44012-4-44012-4-44012-4-440-311-10-311-10-311-10-311-10-311-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064444444444-4-4-4-4-4-4-4-4-4-444444-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4444-4-44-4-444-4-4-444-444-4-44-1-111-1-1-111-111-1-1111-1-11-1-111-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088800-48800-4-8-8004-8-80048800-4-2-2001-2-20012200-12200-1-2-2001000000000000000000000000000000000000000000000000000000000000000000000000000
χ10912-44-4012-44-40-124-440-124-44012-44-40-31-110-31-1103-11-103-11-10-31-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ11012-4-44012-4-440-1244-40-1244-4012-4-440-311-10-311-103-1-1103-1-110-311-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188888888880000000000-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2000000000011111000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8888-8-880000000000-4-444-4-2-222-2-2-222-2000000000011-1-11000000000000000000000000000000000000000000000000000000000000000000000000000
χ113161600-8161600-80000000000-8-8004-4-4002-4-400200000000002200-1000000000000000000000000000000000000000000000000000000000000000000000000000
χ11424-88-8024-88-800000000000-124-440-62-220-62-22000000000003-11-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ11524-8-88024-8-8800000000000-1244-40-622-20-622-2000000000003-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1161212121212-4-4-4-4-444444-4-4-4-4-400000-3-3-3-3-311111-1-1-1-1-11111100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1171212-12-1212-4-444-444-4-44-4-444-400000-3-333-311-1-11-1-111-111-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ118242400-12-8-80048800-4-8-800400000-6-60032200-1-2-20012200-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11936-1212-120-124-44012-44-40-124-44000000-93-3303-11-10-31-1103-11-1000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12036-12-12120-1244-4012-4-440-1244-4000000-933-303-1-110-311-103-1-11000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1211212121212-4-4-4-4-4-4-4-4-4-44444400000-3-3-3-3-31111111111-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1221212-12-1212-4-444-4-4-444-444-4-4400000-3-333-311-1-1111-1-11-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ123242400-12-8-8004-8-80048800-400000-6-60032200-12200-1-2-200100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12436-1212-120-124-440-124-44012-44-4000000-93-3303-11-103-11-10-31-11000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12536-12-12120-1244-40-1244-4012-4-44000000-933-303-1-1103-1-110-311-1000000000000000000000000000000000000000000000000000000000000000000000000000000000

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