Finite Group Databasebeta

← Group #72260358

Character table — Group #72260358

Order 9600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size112334444688888888888810101010121212121616161616161616162424242424242424242425253030303032323232323232323232323232323232323232324040404050757580808080120120120120150150150150150150150150150160160160160160160160160200200300300300300300300300300300300300300400
order122225510102355610101010101010102244101010106151515153030303010101010101010101010222244151515153030303030303030303030303030303010102020222661212101020202444444443030303060606060664444444444446
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11
χ311111111111111111111111-11-111111111111111111111111-1-11-11-1111111111111111111111-11-1-1-1-11-11-11-11-1-1ii−i−iii−i−i11-1-111-1-1-1-1i−iii−i−ii−iii−i−i-1
χ411111111111111111111111-11-111111111111111111111111-1-11-11-1111111111111111111111-11-1-1-1-11-11-11-11-1-1−i−iii−i−iii11-1-111-1-1-1-1−ii−i−iii−ii−i−iii-1
χ51111111111111111111111-11-1111111111111111111111111-1-1-11-1111111111111111111111-11-11-1-1-1-11-11-11-11-1ii−i−iii−i−i-1-111-1-111-1-1−iii−ii−i−iii−ii−i-1
χ61111111111111111111111-11-1111111111111111111111111-1-1-11-1111111111111111111111-11-11-1-1-1-11-11-11-11-1−i−iii−i−iii-1-111-1-111-1-1i−i−ii−iii−i−ii−ii-1
χ71111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11-1-11-1-11-1-111
χ81111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-111-11
χ911-1111111-11111-1-111-1-1-1-111-1-11111-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1111111111111-1-1-1-111-1-1-111-1-1-1-111-1-1
χ1011-1111111-11111-1-111-1-1-1-111-1-11111-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11111-1-11-1
χ1111-1111111-11111-1-111-1-1-1-11-1-111111-111111111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-111ii−i−iii−i−i11-1-1-1-111-1-1−ii−ii−ii−ii−ii−ii1
χ1211-1111111-11111-1-111-1-1-1-11-1-111111-111111111-1-11111-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-111−i−iii−i−iii11-1-1-1-111-1-1i−ii−ii−ii−ii−ii−i1
χ1311-1111111-11111-1-111-1-1-1-1-111-11111-111111111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-111-1-111-11ii−i−iii−i−i-1-11111-1-1-1-1i−i−i−iiii−i−i−iii1
χ1411-1111111-11111-1-111-1-1-1-1-111-11111-111111111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-111-1-111-11−i−iii−i−iii-1-11111-1-1-1-1−iiii−i−i−iiii−i−i1
χ1511-1111111-11111-1-111-1-1-1-1-1-1111111-111111111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1
χ1611-1111111-11111-1-111-1-1-1-1-1-1111111-111111111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1
χ172222222222-122-12222222222222222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222200000000-1-1-1-1-1-1-1-1-1-1000000000000-1
χ182222222222-122-1222222222-22-22222-1-1-1-1-1-1-1-1-12222222222-2-22-22-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-2-2-2-11-112-22-2-200000000-1-111-1-111110000000000001
χ192222222222-122-122222222-22-222222-1-1-1-1-1-1-1-1-12222222222-2-2-22-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-2-21-11-1-22-22-20000000011-1-111-1-1110000000000001
χ202222222222-122-122222222-2-2-2-22222-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22221111-2-2-2-220000000011111111-1-1000000000000-1
χ2122-2222222-2-122-1-2-222-2-2-2-222-2-222221-1-1-1-1-1-1-1-1-2-22222-2-2-2-22222-2-2-1-1-1-11111-1-1-1-11111111122-2-2-222-1-11122-2-2-200000000-1-1-1-11111-1-10000000000001
χ2222-2222222-2-122-1-2-222-2-2-2-22-2-2222221-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-22-2-22-1-1-1-11111-1-1-1-1111111112-2-222-2-2-111-12-2-22200000000-1-11111-1-111000000000000-1
χ2322-2222222-2-122-1-2-222-2-2-2-2-222-222221-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-2-222-2-1-1-1-11111-1-1-1-111111111-222-22-2-21-1-11-222-220000000011-1-1-1-11111000000000000-1
χ2422-2222222-2-122-1-2-222-2-2-2-2-2-22222221-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-222-1-1-1-11111-1-1-1-111111111-2-222-22211-1-1-2-222-2000000001111-1-1-1-1-1-10000000000001
χ252-202-222-2-20222-200-2-20000000022-2-202222-2-2-2-20022-2-200002-2000022220000-2-2-2-200000000000002-20000000002i−2i2i−2i2i−2i2i−2i000000002-20000000000000
χ262-202-222-2-20222-200-2-20000000022-2-202222-2-2-2-20022-2-200002-2000022220000-2-2-2-200000000000002-2000000000−2i2i−2i2i−2i2i−2i2i000000002-20000000000000
χ272-202-222-2-20222-200-2-20000000022-2-202222-2-2-2-20022-2-20000-22000022220000-2-2-2-20000000000000-220000000002-2-222-2-2200000000-220000000000000
χ282-202-222-2-20222-200-2-20000000022-2-202222-2-2-2-20022-2-20000-22000022220000-2-2-2-20000000000000-22000000000-222-2-222-200000000-220000000000000
χ29333-1-13333-10330333333333333-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-133-1-1-1-10000000000000000000033333-1-10000-1-1-1-1-11111-1-1-1-10000000000111111-1-1-1-1-1-10
χ30333-1-13333-10330333333333333-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-133-1-1-1-10000000000000000000033333-1-10000-1-1-1-1-1-1-1-1-111110000000000-1-1-1-1-1-11111110
χ31333-1-13333-10330333333333-33-3-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-3-3-11-11000000000000000000003-33-3-3110000-11-111ii−i−i−i−iii0000000000i−iii−i−i−ii−i−iii0
χ32333-1-13333-10330333333333-33-3-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-3-3-11-11000000000000000000003-33-3-3110000-11-111−i−iiiii−i−i0000000000−ii−i−iiii−iii−i−i0
χ33333-1-13333-1033033333333-33-33-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-3-31-11-100000000000000000000-33-33-31100001-11-11ii−i−i−i−iii0000000000−iii−ii−ii−i−ii−ii0
χ34333-1-13333-1033033333333-33-33-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-3-31-11-100000000000000000000-33-33-31100001-11-11−i−iiiii−i−i0000000000i−i−ii−ii−iii−ii−i0
χ35333-1-13333-1033033333333-3-3-3-3-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-133111100000000000000000000-3-3-3-33-1-100001111-11111-1-1-1-10000000000-1-11-1-1111-111-10
χ36333-1-13333-1033033333333-3-3-3-3-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-133111100000000000000000000-3-3-3-33-1-100001111-1-1-1-1-11111000000000011-111-1-1-11-1-110
χ3733-3-1-1333310330-3-333-3-3-3-333-3-3-1-1-1-100000000011-1-1-1-1111133-1-1110000000000000000000033-3-3-3-1-10000-1-11111111-1-1-1-10000000000-1-1-111-1111-1-110
χ3833-3-1-1333310330-3-333-3-3-3-333-3-3-1-1-1-100000000011-1-1-1-1111133-1-1110000000000000000000033-3-3-3-1-10000-1-1111-1-1-1-111110000000000111-1-11-1-1-111-10
χ3933-3-1-1333310330-3-333-3-3-3-33-3-33-1-1-1-100000000011-1-1-1-11111-3-3-111-1000000000000000000003-3-333110000-111-1-1ii−i−i−i−iii0000000000−ii−ii−iii−ii−ii−i0
χ4033-3-1-1333310330-3-333-3-3-3-33-3-33-1-1-1-100000000011-1-1-1-11111-3-3-111-1000000000000000000003-3-333110000-111-1-1−i−iiiii−i−i0000000000i−ii−ii−i−ii−ii−ii0
χ4133-3-1-1333310330-3-333-3-3-3-3-333-3-1-1-1-100000000011-1-1-1-11111-3-31-1-1100000000000000000000-333-331100001-1-11-1ii−i−i−i−iii0000000000i−i−i−iii−iiii−i−i0
χ4233-3-1-1333310330-3-333-3-3-3-3-333-3-1-1-1-100000000011-1-1-1-11111-3-31-1-1100000000000000000000-333-331100001-1-11-1−i−iiiii−i−i0000000000−iiii−i−ii−i−i−iii0
χ4333-3-1-1333310330-3-333-3-3-3-3-3-333-1-1-1-100000000011-1-1-1-111113311-1-100000000000000000000-3-333-3-1-1000011-1-111111-1-1-1-1000000000011-1-1-1-1-1-111110
χ4433-3-1-1333310330-3-333-3-3-3-3-3-333-1-1-1-100000000011-1-1-1-111113311-1-100000000000000000000-3-333-3-1-1000011-1-11-1-1-1-111110000000000-1-1111111-1-1-1-10
χ45444444-14-144-1-144-1-1-1-1-1-1-104044-14-1444-1-144-1-14-1-1-1-1-1-1-1-1-1000404-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10-10-100004040-10-100000000000-1-100-1-1000000000000000
χ46444444-14-144-1-144-1-1-1-1-1-1-10-40-44-14-1444-1-144-1-14-1-1-1-1-1-1-1-1-1000-40-4-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-101010000-40-4010100000000000110011000000000000000
χ47444444-14-14-2-1-1-24-1-1-1-1-1-1-104044-14-1-2-2-21−i1521+i152-2-21−i1521+i1524-1-1-1-1-1-1-1-1-10004041−i1521−i1521+i1521+i152-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1520-10-10000-20-20-10-1000000000001−i1521+i152001−i1521+i152000000000000000
χ48444444-14-14-2-1-1-24-1-1-1-1-1-1-104044-14-1-2-2-21+i1521−i152-2-21+i1521−i1524-1-1-1-1-1-1-1-1-10004041+i1521+i1521−i1521−i152-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1520-10-10000-20-20-10-1000000000001+i1521−i152001+i1521−i152000000000000000
χ49444444-14-14-2-1-1-24-1-1-1-1-1-1-10-40-44-14-1-2-2-21−i1521+i152-2-21−i1521+i1524-1-1-1-1-1-1-1-1-1000-40-41−i1521−i1521+i1521+i152-2-21−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15201010000202010100000000000−1+i152−1−i15200−1+i152−1−i152000000000000000
χ50444444-14-14-2-1-1-24-1-1-1-1-1-1-10-40-44-14-1-2-2-21+i1521−i152-2-21+i1521−i1524-1-1-1-1-1-1-1-1-1000-40-41+i1521+i1521−i1521−i152-2-21+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15201010000202010100000000000−1−i152−1+i15200−1−i152−1+i152000000000000000
χ5144444-14-1444-1-14-14-1-1-1-1-1-14040-14-144-1-144-1-144-14-1-1-1-1-1-1-1-1004040-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-10-100004040-10-10000000000-1-100-1-100000000000000000
χ5244444-14-1444-1-14-14-1-1-1-1-1-1-40-40-14-144-1-144-1-144-14-1-1-1-1-1-1-1-100-40-40-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-11010000-40-40101000000000011001100000000000000000
χ5344444-14-144-2-1-1-2-14-1-1-1-1-1-14040-14-14-21−i1521+i152-2-21−i1521+i152-2-2-14-1-1-1-1-1-1-1-10040401−i1521+i1521−i1521+i1521−i1521+i152-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-10-10000-20-20-10-100000000001−i1521+i152001−i1521+i15200000000000000000
χ5444444-14-144-2-1-1-2-14-1-1-1-1-1-14040-14-14-21+i1521−i152-2-21+i1521−i152-2-2-14-1-1-1-1-1-1-1-10040401+i1521−i1521+i1521−i1521+i1521−i152-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-10-10000-20-20-10-100000000001+i1521−i152001+i1521−i15200000000000000000
χ5544444-14-144-2-1-1-2-14-1-1-1-1-1-1-40-40-14-14-21−i1521+i152-2-21−i1521+i152-2-2-14-1-1-1-1-1-1-1-100-40-401−i1521+i1521−i1521+i1521−i1521+i152-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152101000020201010000000000−1+i152−1−i15200−1+i152−1−i15200000000000000000
χ5644444-14-144-2-1-1-2-14-1-1-1-1-1-1-40-40-14-14-21+i1521−i152-2-21+i1521−i152-2-2-14-1-1-1-1-1-1-1-100-40-401+i1521−i1521+i1521−i1521+i1521−i152-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152101000020201010000000000−1−i152−1+i15200−1−i152−1+i15200000000000000000
χ5744-4444-14-1-44-1-14-41-1-11111040-44-14-1-444-1-144-1-1-41-1-1-1-1111100040-4-1-1-1-1-4-411-1-1-1-1111111110-101000040-40-10100000000000-1-10011000000000000000
χ5844-4444-14-1-44-1-14-41-1-111110-4044-14-1-444-1-144-1-1-41-1-1-1-11111000-404-1-1-1-1-4-411-1-1-1-111111111010-10000-404010-1000000000001100-1-1000000000000000
χ5944-4444-14-1-4-2-1-1-2-41-1-11111040-44-14-12-2-21−i1521+i152-2-21−i1521+i152-41-1-1-1-1111100040-41−i1521−i1521+i1521+i15222−1+i152−1−i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i1520-1010000-2020-101000000000001−i1521+i15200−1+i152−1−i152000000000000000
χ6044-4444-14-1-4-2-1-1-2-41-1-11111040-44-14-12-2-21+i1521−i152-2-21+i1521−i152-41-1-1-1-1111100040-41+i1521+i1521−i1521−i15222−1−i152−1+i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i1520-1010000-2020-101000000000001+i1521−i15200−1−i152−1+i152000000000000000
χ6144-4444-14-1-4-2-1-1-2-41-1-111110-4044-14-12-2-21−i1521+i152-2-21−i1521+i152-41-1-1-1-11111000-4041−i1521−i1521+i1521+i15222−1+i152−1−i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152010-1000020-2010-100000000000−1+i152−1−i152001−i1521+i152000000000000000
χ6244-4444-14-1-4-2-1-1-2-41-1-111110-4044-14-12-2-21+i1521−i152-2-21+i1521−i152-41-1-1-1-11111000-4041+i1521+i1521−i1521−i15222−1−i152−1+i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152010-1000020-2010-100000000000−1−i152−1+i152001+i1521−i152000000000000000
χ6344-444-14-14-44-1-141-4-1-1111140-40-14-14-4-1-144-1-1441-4-1-1-1-111110040-40-1-1-1-111-4-4-1-1-1-111111111-101000040-40-1010000000000-1-1001100000000000000000
χ6444-444-14-14-44-1-141-4-1-11111-4040-14-14-4-1-144-1-1441-4-1-1-1-1111100-4040-1-1-1-111-4-4-1-1-1-11111111110-10000-404010-100000000001100-1-100000000000000000
χ6544-444-14-14-4-2-1-1-21-4-1-1111140-40-14-1421−i1521+i152-2-21−i1521+i152-2-21-4-1-1-1-111110040-401−i1521+i1521−i1521+i152−1+i152−1−i152221−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152-1010000-2020-10100000000001−i1521+i15200−1+i152−1−i15200000000000000000
χ6644-444-14-14-4-2-1-1-21-4-1-1111140-40-14-1421+i1521−i152-2-21+i1521−i152-2-21-4-1-1-1-111110040-401+i1521−i1521+i1521−i152−1−i152−1+i152221+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152-1010000-2020-10100000000001+i1521−i15200−1−i152−1+i15200000000000000000
χ6744-444-14-14-4-2-1-1-21-4-1-11111-4040-14-1421−i1521+i152-2-21−i1521+i152-2-21-4-1-1-1-1111100-40401−i1521+i1521−i1521+i152−1+i152−1−i152221−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15210-1000020-2010-10000000000−1+i152−1−i152001−i1521+i15200000000000000000
χ6844-444-14-14-4-2-1-1-21-4-1-11111-4040-14-1421+i1521−i152-2-21+i1521−i152-2-21-4-1-1-1-1111100-40401+i1521−i1521+i1521−i152−1−i152−1+i152221+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15210-1000020-2010-10000000000−1−i152−1+i152001+i1521−i15200000000000000000
χ694-404-444-4-40-244200-4-40000000044-4-40-2-2-2-222220044-4-400004-40000-2-2-2-20000222200000000000004-40000000000000000000000000-220000000000000
χ704-404-444-4-40-244200-4-40000000044-4-40-2-2-2-222220044-4-40000-440000-2-2-2-2000022220000000000000-4400000000000000000000000002-20000000000000
χ716-60-2266-6-60066000-6-600000000-2-22200000000000-2-22200006-600000000000000000000000000000-220000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000
χ726-60-2266-6-60066000-6-600000000-2-22200000000000-2-22200006-600000000000000000000000000000-22000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000
χ736-60-2266-6-60066000-6-600000000-2-22200000000000-2-2220000-66000000000000000000000000000002-20000000002-2-22-222-200000000000000000000000
χ746-60-2266-6-60066000-6-600000000-2-22200000000000-2-2220000-66000000000000000000000000000002-2000000000-222-22-2-2200000000000000000000000
χ7588888-2-2-2-2883-28-2-23-233-2-20000-2-2-2-28-2-2-2-2-2-2-2-2-2-23-23-233-2-20000003-2-23-2-2-2-23-2-2333-2-2-2-23300000000000000000000000000000000000000000000000
χ7688888-2-2-2-288-238-2-2-23-2-2330000-2-2-2-28-2-2-2-2-2-2-2-2-2-2-23-23-2-233000000-233-2-2-2-2-2-233-2-2-23333-2-200000000000000000000000000000000000000000000000
χ7788888-2-2-2-28-43-2-4-2-23-233-2-20000-2-2-2-2-41−i151+i151−i151+i151−i151+i151−i151+i15-2-23-23-233-2-2000000−3+i15211−3−i1521−i151+i151−i151+i15−3+i15211−3−i152−3+i152−3+i1521111−3−i152−3−i15200000000000000000000000000000000000000000000000
χ7888888-2-2-2-28-43-2-4-2-23-233-2-20000-2-2-2-2-41+i151−i151+i151−i151+i151−i151+i151−i15-2-23-23-233-2-2000000−3−i15211−3+i1521+i151−i151+i151−i15−3−i15211−3+i152−3−i152−3−i1521111−3+i152−3+i15200000000000000000000000000000000000000000000000
χ7988888-2-2-2-28-4-23-4-2-2-23-2-2330000-2-2-2-2-41−i151+i151+i151−i151−i151+i151+i151−i15-2-2-23-23-2-2330000001−3−i152−3+i15211−i151+i151+i151−i151−3−i152−3+i152111−3−i152−3−i152−3+i152−3+i1521100000000000000000000000000000000000000000000000
χ8088888-2-2-2-28-4-23-4-2-2-23-2-2330000-2-2-2-2-41+i151−i151−i151+i151+i151−i151−i151+i15-2-2-23-23-2-2330000001−3+i152−3−i15211+i151−i151−i151+i151−3+i152−3−i152111−3+i152−3+i152−3−i152−3−i1521100000000000000000000000000000000000000000000000
χ8188-888-2-2-2-2-883-28223-2-3-3220000-2-2-2-2-8-2-2-2-2-2-2-2-2223-23-2-3-3220000003-2-2322223-2-23-3-32222-3-300000000000000000000000000000000000000000000000
χ8288-888-2-2-2-2-88-23822-2322-3-30000-2-2-2-2-8-2-2-2-2-2-2-2-222-23-2322-3-3000000-233-22222-233-222-3-3-3-32200000000000000000000000000000000000000000000000
χ8388-888-2-2-2-2-8-43-2-4223-2-3-3220000-2-2-2-241−i151+i151−i151+i151−i151+i151−i151+i15223-23-2-3-322000000−3+i15211−3−i152−1+i15−1−i15−1+i15−1−i15−3+i15211−3−i1523−i1523−i152-1-1-1-13+i1523+i15200000000000000000000000000000000000000000000000
χ8488-888-2-2-2-2-8-43-2-4223-2-3-3220000-2-2-2-241+i151−i151+i151−i151+i151−i151+i151−i15223-23-2-3-322000000−3−i15211−3+i152−1−i15−1+i15−1−i15−1+i15−3−i15211−3+i1523+i1523+i152-1-1-1-13−i1523−i15200000000000000000000000000000000000000000000000
χ8588-888-2-2-2-2-8-4-23-422-2322-3-30000-2-2-2-241−i151+i151+i151−i151−i151+i151+i151−i1522-23-2322-3-30000001−3−i152−3+i1521−1+i15−1−i15−1−i15−1+i151−3−i152−3+i1521-1-13+i1523+i1523−i1523−i152-1-100000000000000000000000000000000000000000000000
χ8688-888-2-2-2-2-8-4-23-422-2322-3-30000-2-2-2-241+i151−i151−i151+i151+i151−i151−i151+i1522-23-2322-3-30000001−3+i152−3−i1521−1−i15−1+i15−1+i15−1−i151−3+i152−3−i1521-1-13−i1523−i1523+i1523+i152-1-100000000000000000000000000000000000000000000000
χ878-808-88-2-8208-2-2-80022000000008-2-82088-2-2-8-82200-2-2220000000000-2-2-2-2000022220000000000000000000000000000000000000000000000000000000
χ888-808-88-2-820-4-2-240022000000008-2-820-4-41−i151+i1544−1+i15−1−i1500-2-22200000000001−i151−i151+i151+i150000−1+i15−1+i15−1−i15−1−i150000000000000000000000000000000000000000000000000000000
χ898-808-88-2-820-4-2-240022000000008-2-820-4-41+i151−i1544−1−i15−1+i1500-2-22200000000001+i151+i151−i151−i150000−1−i15−1−i15−1+i15−1+i150000000000000000000000000000000000000000000000000000000
χ908-808-8-282-808-2-2-8002200000000-282-80-2-28822-8-800-2-2220000000000-2-2-2-2000022220000000000000000000000000000000000000000000000000000000
χ918-808-8-282-80-4-2-24002200000000-282-801−i151+i15-4-4−1+i15−1−i154400-2-22200000000001−i151+i151−i151+i150000−1+i15−1−i15−1+i15−1−i150000000000000000000000000000000000000000000000000000000
χ928-808-8-282-80-4-2-24002200000000-282-801+i151−i15-4-4−1−i15−1+i154400-2-22200000000001+i151−i151+i151−i150000−1−i15−1+i15−1−i15−1+i150000000000000000000000000000000000000000000000000000000
χ938-808-8-2-222083-2-800-32−55−25250000-2-2220-2-2-2-22222003-2-32−55−25250000003-2-230000-322-3−55−2525−2525−5500000000000000000000000000000000000000000000000
χ948-808-8-2-222083-2-800-325−525−250000-2-2220-2-2-2-22222003-2-325−525−250000003-2-230000-322-35−525−2525−255−500000000000000000000000000000000000000000000000
χ958-808-8-2-22208-23-8002-3−25255−50000-2-2220-2-2-2-2222200-232-3−25255−5000000-233-200002-3-32−25255−55−5−252500000000000000000000000000000000000000000000000
χ968-808-8-2-22208-23-8002-325−25−550000-2-2220-2-2-2-2222200-232-325−25−55000000-233-200002-3-3225−25−55−5525−2500000000000000000000000000000000000000000000000
χ978-808-8-2-2220-43-2400-32−55−25250000-2-22201−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i15003-2-32−55−2525000000−3+i15211−3−i15200003−i152-1-13+i1523ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ585−55−5−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ5800000000000000000000000000000000000000000000000
χ988-808-8-2-2220-43-2400-32−55−25250000-2-22201+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15003-2-32−55−2525000000−3−i15211−3+i15200003+i152-1-13−i152−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ585−55−53ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ5800000000000000000000000000000000000000000000000
χ998-808-8-2-2220-43-2400-325−525−250000-2-22201−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i15003-2-325−525−25000000−3+i15211−3−i15200003−i152-1-13+i152−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−55−552ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ5800000000000000000000000000000000000000000000000
χ1008-808-8-2-2220-43-2400-325−525−250000-2-22201+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i15003-2-325−525−25000000−3−i15211−3+i15200003+i152-1-13−i1522ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ58−55−55−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ5800000000000000000000000000000000000000000000000
χ1018-808-8-2-2220-4-234002-3−25255−50000-2-22201−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i1500-232-3−25255−50000001−3−i152−3+i15210000-13+i1523−i152-15−52ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ585−500000000000000000000000000000000000000000000000
χ1028-808-8-2-2220-4-234002-3−25255−50000-2-22201+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i1500-232-3−25255−50000001−3+i152−3−i15210000-13−i1523+i152-15−5−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ585−500000000000000000000000000000000000000000000000
χ1038-808-8-2-2220-4-234002-325−25−550000-2-22201−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i1500-232-325−25−550000001−3−i152−3+i15210000-13+i1523−i152-1−55−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ58−5500000000000000000000000000000000000000000000000
χ1048-808-8-2-2220-4-234002-325−25−550000-2-22201+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i1500-232-325−25−550000001−3+i152−3−i15210000-13−i1523+i152-1−553ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−5500000000000000000000000000000000000000000000000
χ105121212-4-412-312-3-40-3-3012-3-3-3-3-3-3-3012012-41-41000000000-4111111111000-40-4000000000000000000000-30-30000000010100000000000000000000000000000000
χ106121212-4-412-312-3-40-3-3012-3-3-3-3-3-3-30-120-12-41-41000000000-411111111100040400000000000000000000030300000000-10-100000000000000000000000000000000
χ107121212-4-4-312-312-40-3-30-312-3-3-3-3-3-31201201-41-40000000001-41111111100-40-4000000000000000000000-30-300000000101000000000000000000000000000000000
χ108121212-4-4-312-312-40-3-30-312-3-3-3-3-3-3-120-1201-41-40000000001-4111111110040400000000000000000000030300000000-10-1000000000000000000000000000000000
χ1091212-12-4-412-312-340-3-30-123-3-333330120-12-41-410000000004-11111-1-1-1-1000-404000000000000000000000-3030000000010-100000000000000000000000000000000
χ1101212-12-4-412-312-340-3-30-123-3-333330-12012-41-410000000004-11111-1-1-1-100040-400000000000000000000030-300000000-10100000000000000000000000000000000
χ1111212-12-4-4-312-31240-3-303-12-3-33333120-1201-41-4000000000-141111-1-1-1-100-404000000000000000000000-3030000000010-1000000000000000000000000000000000
χ1121212-12-4-4-312-31240-3-303-12-3-33333-1201201-41-4000000000-141111-1-1-1-10040-400000000000000000000030-300000000-101000000000000000000000000000000000
χ113242424-8-8-6-6-6-6-809-60-6-69-699-6-60000222200000000022-32-32-3-3220000000000000000000000000000000000000000000000000000000000000000000000000
χ114242424-8-8-6-6-6-6-80-690-6-6-69-6-69900002222000000000222-32-322-3-30000000000000000000000000000000000000000000000000000000000000000000000000
χ1152424-24-8-8-6-6-6-6809-60669-6-9-96600002222000000000-2-2-32-3233-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1162424-24-8-8-6-6-6-680-69066-6966-9-900002222000000000-2-22-32-3-2-2330000000000000000000000000000000000000000000000000000000000000000000000000
χ11724-240-8824-6-24600-6-60006600000000-828-20000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11824-240-88-6246-2400-6-600066000000002-8-280000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11924-240-88-6-666009-6000-96−3535−6565000022-2-200000000000-323-25−525−250000000000000000000000000000000000000000000000000000000000000000000000000
χ12024-240-88-6-666009-6000-9635−3565−65000022-2-200000000000-323-2−55−25250000000000000000000000000000000000000000000000000000000000000000000000000
χ12124-240-88-6-66600-690006-9−656535−35000022-2-2000000000002-3-2325−25−550000000000000000000000000000000000000000000000000000000000000000000000000
χ12224-240-88-6-66600-690006-965−65−3535000022-2-2000000000002-3-23−25255−50000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.