Finite Group Databasebeta

← Group #72344149

Character table — Group #72344149

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11112266888812121212121212121212122424242424242424243232323248484848484848484864646464646496961111226688881212121212121212121212242424242424242424323232324848484848484848486464646464649696
order1222442244442244444444422224444436664444488881212121212124422224422444422444444444222244444666644444888812121212121244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-111-1-1-1-1-1-1111111-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-111-1-1-1-1-1-1111111-1-1
χ311111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-111
χ51111-1-11111-1-111-1-1-111111111-1-1-111-1-11111-11-11-111-1-1-1-111-1-11-11111-1-11111-1-111-1-1-111111111-1-1-111-1-11111-11-11-111-1-1-1-111-1-11-1
χ61111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-1-111111111-1-11-1-111-1-111-1-1-111111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-1-111111111-1-11-1-111-1-111-1-1-11
χ71111-1-111-1-11111-1-1-1111111-1-111-111-1-11111-1-11-1111-1-1-1-1-1-111-111111-1-111-1-11111-1-1-1111111-1-111-111-1-11111-1-11-1111-1-1-1-1-1-111-11
χ81111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11111111-111-1-1-111-1-1-1-1111-11111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11111111-111-1-1-111-1-1-1-1111-1
χ922222222222222222000022000020000-1-1-1-1022000000-1-1-1-1-1-10022222222222222222000022000020000-1-1-1-1022000000-1-1-1-1-1-100
χ1022222222-2-2-2-222222000022000020000-1-1-1-10-2-2000000-1-111110022222222-2-2-2-222222000022000020000-1-1-1-10-2-2000000-1-1111100
χ112222-2-22222-2-222-2-2-20000220000-20000-1-1-1-102-200000011-1-111002222-2-22222-2-222-2-2-20000220000-20000-1-1-1-102-200000011-1-11100
χ122222-2-222-2-22222-2-2-20000220000-20000-1-1-1-10-220000001111-1-1002222-2-222-2-22222-2-2-20000220000-20000-1-1-1-10-220000001111-1-100
χ132-22-2002-20000-220002i2i−2i−2i2-2000002i−2i0022-2-2000002i−2i00000000002-22-2002-20000-220002i2i−2i−2i2-2000002i−2i0022-2-2000002i−2i0000000000
χ142-22-2002-20000-22000−2i−2i2i2i2-200000−2i2i0022-2-200000−2i2i00000000002-22-2002-20000-22000−2i−2i2i2i2-200000−2i2i0022-2-200000−2i2i0000000000
χ15333333333333-1-13-1-11111-1-11111-1111100001-1-111-1-1-1-1000000-1-1333333333333-1-13-1-11111-1-11111-1111100001-1-111-1-1-1-1000000-1-1
χ16333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1111100000011333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1111100000011
χ1733333333-3-3-3-3-1-13-1-11111-1-1-1-1-1-1-111110000111-1-1-1-1-1-10000001133333333-3-3-3-3-1-13-1-11111-1-1-1-1-1-1-111110000111-1-1-1-1-1-100000011
χ1833333333-3-3-3-3-1-13-1-1-1-1-1-1-1-11111-1-1-1-1-10000-111111111000000-1-133333333-3-3-3-3-1-13-1-1-1-1-1-1-1-11111-1-1-1-1-10000-111111111000000-1-1
χ193333-3-33333-3-3-1-1-3111111-1-111-1-1111-1-10000-1-111-1-1-111000000-113333-3-33333-3-3-1-1-3111111-1-111-1-1111-1-10000-1-111-1-1-111000000-11
χ203333-3-33333-3-3-1-1-311-1-1-1-1-1-1-1-1111-1-11100001-11-1111-1-10000001-13333-3-33333-3-3-1-1-311-1-1-1-1-1-1-1-1111-1-11100001-11-1111-1-10000001-1
χ213333-3-333-3-333-1-1-3111111-1-1-1-111111-1-10000-11-1-11-1-1110000001-13333-3-333-3-333-1-1-3111111-1-1-1-111111-1-10000-11-1-11-1-1110000001-1
χ223333-3-333-3-333-1-1-311-1-1-1-1-1-111-1-11-1-111000011-11-111-1-1000000-113333-3-333-3-333-1-1-311-1-1-1-1-1-111-1-11-1-111000011-11-111-1-1000000-11
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χ2444-4-44-4002i−2i2i−2i00000−2i2i−2i2i00-22-22000−2i2i1-11-10000000001-1i−ii−i0044-4-44-4002i−2i2i−2i00000−2i2i−2i2i00-22-22000−2i2i1-11-10000000001-1i−ii−i00
χ2544-4-44-400−2i2i−2i2i000002i−2i2i−2i00-22-220002i−2i1-11-10000000001-1−ii−ii0044-4-44-400−2i2i−2i2i000002i−2i2i−2i00-22-220002i−2i1-11-10000000001-1−ii−ii00
χ2644-4-44-400−2i2i−2i2i00000−2i2i−2i2i002-22-2000−2i2i1-11-10000000001-1−ii−ii0044-4-44-400−2i2i−2i2i00000−2i2i−2i2i002-22-2000−2i2i1-11-10000000001-1−ii−ii00
χ2744-4-4-44002i−2i−2i2i000002i−2i2i−2i002-2-22000−2i2i1-11-1000000000-11i−i−ii0044-4-4-44002i−2i−2i2i000002i−2i2i−2i002-2-22000−2i2i1-11-1000000000-11i−i−ii00
χ2844-4-4-44002i−2i−2i2i00000−2i2i−2i2i00-222-20002i−2i1-11-1000000000-11i−i−ii0044-4-4-44002i−2i−2i2i00000−2i2i−2i2i00-222-20002i−2i1-11-1000000000-11i−i−ii00
χ2944-4-4-4400−2i2i2i−2i000002i−2i2i−2i00-222-2000−2i2i1-11-1000000000-11−iii−i0044-4-4-4400−2i2i2i−2i000002i−2i2i−2i00-222-2000−2i2i1-11-1000000000-11−iii−i00
χ3044-4-4-4400−2i2i2i−2i00000−2i2i−2i2i002-2-220002i−2i1-11-1000000000-11−iii−i0044-4-4-4400−2i2i2i−2i00000−2i2i−2i2i002-2-220002i−2i1-11-1000000000-11−iii−i00
χ314-44-4004-40000-4400000004-4000000000-2-222000000000000000004-44-4004-40000-4400000004-4000000000-2-22200000000000000000
χ32666666-2-2000022-2-2-20000-2-22222200000000000-2-2000000000000666666-2-2000022-2-2-20000-2-22222200000000000-2-2000000000000
χ33666666-2-2000022-2-2-20000-2-2-2-2-2-220000000000022000000000000666666-2-2000022-2-2-20000-2-2-2-2-2-220000000000022000000000000
χ34666666-2-20000-2-2-2222222220000-2-2-2220000-20000000000000000666666-2-20000-2-2-2222222220000-2-2-2220000-20000000000000000
χ35666666-2-20000-2-2-222-2-2-2-2220000-222-2-2000020000000000000000666666-2-20000-2-2-222-2-2-2-2220000-222-2-2000020000000000000000
χ366666-6-6-2-20000222220000-2-222-2-2-200000000000-220000000000006666-6-6-2-20000222220000-2-222-2-2-200000000000-22000000000000
χ376666-6-6-2-20000222220000-2-2-2-222-2000000000002-20000000000006666-6-6-2-20000222220000-2-2-2-222-2000000000002-2000000000000
χ386666-6-6-2-20000-2-22-2-222222200002-2-2-2-20000200000000000000006666-6-6-2-20000-2-22-2-222222200002-2-2-2-2000020000000000000000
χ396666-6-6-2-20000-2-22-2-2-2-2-2-2220000222220000-200000000000000006666-6-6-2-20000-2-22-2-2-2-2-2-2220000222220000-20000000000000000
χ406-66-6006-600002-20002i2i−2i−2i-22000002i−2i00000000000−2i2i00000000006-66-6006-600002-20002i2i−2i−2i-22000002i−2i00000000000−2i2i0000000000
χ416-66-6006-600002-2000−2i−2i2i2i-2200000−2i2i000000000002i−2i00000000006-66-6006-600002-2000−2i−2i2i2i-2200000−2i2i000000000002i−2i0000000000
χ426-66-600-2200002-204i−4i2i2i−2i−2i2-200000−2i2i00000000000002-2000000006-66-600-2200002-204i−4i2i2i−2i−2i2-200000−2i2i00000000000002-200000000
χ436-66-600-2200002-204i−4i−2i−2i2i2i2-2000002i−2i0000000000000-22000000006-66-600-2200002-204i−4i−2i−2i2i2i2-2000002i−2i0000000000000-2200000000
χ446-66-600-2200002-20−4i4i2i2i−2i−2i2-200000−2i2i0000000000000-22000000006-66-600-2200002-20−4i4i2i2i−2i−2i2-200000−2i2i0000000000000-2200000000
χ456-66-600-2200002-20−4i4i−2i−2i2i2i2-2000002i−2i00000000000002-2000000006-66-600-2200002-20−4i4i−2i−2i2i2i2-2000002i−2i00000000000002-200000000
χ4688-8-88-8004i−4i4i−4i00000000000000000000-11-11000000000-11−ii−ii0088-8-88-8004i−4i4i−4i00000000000000000000-11-11000000000-11−ii−ii00
χ4788-8-88-800−4i4i−4i4i00000000000000000000-11-11000000000-11i−ii−i0088-8-88-800−4i4i−4i4i00000000000000000000-11-11000000000-11i−ii−i00
χ4888-8-8-88004i−4i−4i4i00000000000000000000-11-110000000001-1−iii−i0088-8-8-88004i−4i−4i4i00000000000000000000-11-110000000001-1−iii−i00
χ4988-8-8-8800−4i4i4i−4i00000000000000000000-11-110000000001-1i−i−ii0088-8-8-8800−4i4i4i−4i00000000000000000000-11-110000000001-1i−i−ii00
χ508-8-8800000000000004-4-44000000000002-2-22000000000000000008-8-8800000000000004-4-44000000000002-2-2200000000000000000
χ518-8-880000000000000-444-4000000000002-2-22000000000000000008-8-880000000000000-444-4000000000002-2-2200000000000000000
χ5212-1212-1200-440000-440000000-4400000000000000000000000000000012-1212-1200-440000-440000000-44000000000000000000000000000000
χ5316-16-16160000000000000000000000000000-222-20000000000000000016-16-16160000000000000000000000000000-222-200000000000000000
χ5411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5511111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1-1-11-1-1111111-1-1-1-1-1-111
χ5611111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ5711111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11111-1-1
χ581111-1-11111-1-111-1-1-111111111-1-1-111-1-11111-11-11-111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-11-11-1-11111-1-111-11
χ591111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-1-111111111-1-11-1-111-1-111-1-1-11-1-1-1-111-1-1-1-111-1-11111111-1-111-1-1111-1-1-1-1-1-1-1-111-111-1-111-1-1111-1
χ601111-1-111-1-11111-1-1-1111111-1-111-111-1-11111-1-11-1111-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-111-1-11-1-111-1-1-1-111-11-1-1-1111111-1-11-1
χ611111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11111111-111-1-1-111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-11-1-1111-1-11111-1-1-11
χ6222222222222222222000022000020000-1-1-1-1022000000-1-1-1-1-1-100-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000-2000011110-2-200000011111100
χ6322222222-2-2-2-222222000022000020000-1-1-1-10-2-2000000-1-1111100-2-2-2-2-2-2-2-22222-2-2-2-2-20000-2-20000-20000111102200000011-1-1-1-100
χ642222-2-22222-2-222-2-2-20000220000-20000-1-1-1-102-200000011-1-11100-2-2-2-222-2-2-2-222-2-22220000-2-200002000011110-22000000-1-111-1-100
χ652222-2-222-2-22222-2-2-20000220000-20000-1-1-1-10-220000001111-1-100-2-2-2-222-2-222-2-2-2-22220000-2-2000020000111102-2000000-1-1-1-11100
χ662-22-2002-20000-220002i2i−2i−2i2-2000002i−2i0022-2-2000002i−2i0000000000-22-2200-2200002-2000−2i−2i2i2i-2200000−2i2i00-2-22200000−2i2i0000000000
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χ68333333333333-1-13-1-11111-1-11111-1111100001-1-111-1-1-1-1000000-1-1-3-3-3-3-3-3-3-3-3-3-3-311-311-1-1-1-111-1-1-1-11-1-1-1-10000-111-1-1111100000011
χ69333333333333-1-13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1111100000011-3-3-3-3-3-3-3-3-3-3-3-311-311111111111111111000011111-1-1-1-1000000-1-1
χ7033333333-3-3-3-3-1-13-1-11111-1-1-1-1-1-1-111110000111-1-1-1-1-1-100000011-3-3-3-3-3-3-3-3333311-311-1-1-1-11111111-1-1-1-10000-1-1-1111111000000-1-1
χ7133333333-3-3-3-3-1-13-1-1-1-1-1-1-1-11111-1-1-1-1-10000-111111111000000-1-1-3-3-3-3-3-3-3-3333311-311111111-1-1-1-11111100001-1-1-1-1-1-1-1-100000011
χ723333-3-33333-3-3-1-1-3111111-1-111-1-1111-1-10000-1-111-1-1-111000000-11-3-3-3-333-3-3-3-333113-1-1-1-1-1-111-1-111-1-1-111000011-1-1111-1-10000001-1
χ733333-3-33333-3-3-1-1-311-1-1-1-1-1-1-1-1111-1-11100001-11-1111-1-10000001-1-3-3-3-333-3-3-3-333113-1-111111111-1-1-111-1-10000-11-11-1-1-111000000-11
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χ753333-3-333-3-333-1-1-311-1-1-1-1-1-111-1-11-1-111000011-11-111-1-1000000-11-3-3-3-333-3-333-3-3113-1-1111111-1-111-111-1-10000-1-11-11-1-1110000001-1
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χ8344-4-4-4400−2i2i2i−2i00000−2i2i−2i2i002-2-220002i−2i1-11-1000000000-11−iii−i00-4-4444-4002i−2i−2i2i000002i−2i2i−2i00-222-2000−2i2i-11-110000000001-1i−i−ii00
χ844-44-4004-40000-4400000004-4000000000-2-22200000000000000000-44-4400-4400004-40000000-4400000000022-2-200000000000000000
χ85666666-2-2000022-2-2-20000-2-22222200000000000-2-2000000000000-6-6-6-6-6-6220000-2-2222000022-2-2-2-2-20000000000022000000000000
χ86666666-2-2000022-2-2-20000-2-2-2-2-2-220000000000022000000000000-6-6-6-6-6-6220000-2-22220000222222-200000000000-2-2000000000000
χ87666666-2-20000-2-2-2222222220000-2-2-2220000-20000000000000000-6-6-6-6-6-6220000222-2-2-2-2-2-2-2-20000222-2-2000020000000000000000
χ88666666-2-20000-2-2-222-2-2-2-2220000-222-2-2000020000000000000000-6-6-6-6-6-6220000222-2-22222-2-200002-2-2220000-20000000000000000
χ896666-6-6-2-20000222220000-2-222-2-2-200000000000-22000000000000-6-6-6-666220000-2-2-2-2-2000022-2-2222000000000002-2000000000000
χ906666-6-6-2-20000222220000-2-2-2-222-2000000000002-2000000000000-6-6-6-666220000-2-2-2-2-200002222-2-2200000000000-22000000000000
χ916666-6-6-2-20000-2-22-2-222222200002-2-2-2-2000020000000000000000-6-6-6-66622000022-222-2-2-2-2-2-20000-222220000-20000000000000000
χ926666-6-6-2-20000-2-22-2-2-2-2-2-2220000222220000-20000000000000000-6-6-6-66622000022-2222222-2-20000-2-2-2-2-2000020000000000000000
χ936-66-6006-600002-20002i2i−2i−2i-22000002i−2i00000000000−2i2i0000000000-66-6600-660000-22000−2i−2i2i2i2-200000−2i2i000000000002i−2i0000000000
χ946-66-6006-600002-2000−2i−2i2i2i-2200000−2i2i000000000002i−2i0000000000-66-6600-660000-220002i2i−2i−2i2-2000002i−2i00000000000−2i2i0000000000
χ956-66-600-2200002-204i−4i2i2i−2i−2i2-200000−2i2i00000000000002-200000000-66-66002-20000-220−4i4i−2i−2i2i2i-22000002i−2i0000000000000-2200000000
χ966-66-600-2200002-204i−4i−2i−2i2i2i2-2000002i−2i0000000000000-2200000000-66-66002-20000-220−4i4i2i2i−2i−2i-2200000−2i2i00000000000002-200000000
χ976-66-600-2200002-20−4i4i2i2i−2i−2i2-200000−2i2i0000000000000-2200000000-66-66002-20000-2204i−4i−2i−2i2i2i-22000002i−2i00000000000002-200000000
χ986-66-600-2200002-20−4i4i−2i−2i2i2i2-2000002i−2i00000000000002-200000000-66-66002-20000-2204i−4i2i2i−2i−2i-2200000−2i2i0000000000000-2200000000
χ9988-8-88-8004i−4i4i−4i00000000000000000000-11-11000000000-11−ii−ii00-8-888-8800−4i4i−4i4i000000000000000000001-11-10000000001-1i−ii−i00
χ10088-8-88-800−4i4i−4i4i00000000000000000000-11-11000000000-11i−ii−i00-8-888-88004i−4i4i−4i000000000000000000001-11-10000000001-1−ii−ii00
χ10188-8-8-88004i−4i−4i4i00000000000000000000-11-110000000001-1−iii−i00-8-8888-800−4i4i4i−4i000000000000000000001-11-1000000000-11i−i−ii00
χ10288-8-8-8800−4i4i4i−4i00000000000000000000-11-110000000001-1i−i−ii00-8-8888-8004i−4i−4i4i000000000000000000001-11-1000000000-11−iii−i00
χ1038-8-8800000000000004-4-44000000000002-2-2200000000000000000-888-80000000000000-444-400000000000-222-200000000000000000
χ1048-8-880000000000000-444-4000000000002-2-2200000000000000000-888-800000000000004-4-4400000000000-222-200000000000000000
χ10512-1212-1200-440000-440000000-44000000000000000000000000000000-1212-1212004-400004-400000004-4000000000000000000000000000000
χ10616-16-16160000000000000000000000000000-222-200000000000000000-161616-1600000000000000000000000000002-2-2200000000000000000

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