Finite Group Databasebeta

← Group #72275032

Character table — Group #72275032

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size112222233666666666666666666612121212121212121224242424242424242424242424242424242424242424242432326464646464727272727272144144192192112222233666666666666666666612121212121212121224242424242424242424242424242424242424242424242432326464646464727272727272144144192192
order12236662222222226666666666662224466662244444466661212121212121212121212123636666244444446122226666222222222666666666666222446666224444446666121212121212121212121212666666624444444612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11-1-1-11111111111111111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-11-1-1-111
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111-1-1
χ511-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1111111-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-1111-11-1-11-1-1-1111-11-111-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1111111-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-1111-11-1-11-1-1-1111-11-1
χ611-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1111111-1-1-1-11-111-1-111-1-1111111-1-1-1-1-1-1111-11-1-1-1111-1-1-11-1111-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1111111-1-1-1-11-111-1-111-1-1111111-1-1-1-1-1-1111-11-1-1-1111-1-1-11-11
χ711-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-11-1-111-1-111-1-1-1-1-1-1111111111-11-1-1-11-111-1-111-111-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-11-1-111-1-111-1-1-1-1-1-1111111111-11-1-1-11-111-1-111-1
χ811-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-11-111-1-111-1-111-1-1-1-1-1-1111111111-11-1-11-11-1-111-1-1111-111-1-1111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-111-1-11-111-1-111-1-111-1-1-1-1-1-1111111111-11-1-11-11-1-111-1-11
χ92222222222222222222222222222200002222022000000000000000000000-1-1-1-1-1-1-100202000-1-12222222222222222222222222222200002222022000000000000000000000-1-1-1-1-1-1-100202000-1-1
χ1022222222222222222222222222222000022220-2-2000000000000000000000-1-1-1-1-1-1-100-20-20001122222222222222222222222222222000022220-2-2000000000000000000000-1-1-1-1-1-1-100-20-200011
χ11222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-120022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12-1-1-10000000000222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-120022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-12-1-1-10000000000
χ12222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-200-2-2-2-2-2111111111111111122-12-1-1-10000000000222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-200-2-2-2-2-2111111111111111122-12-1-1-10000000000
χ1322-222-2-2222-2-2-2222222-2-2-2-2-2-2222-2000022-2-202-2000000000000000000000-1-1-11-11100-202000-1122-222-2-2222-2-2-2222222-2-2-2-2-2-2222-2000022-2-202-2000000000000000000000-1-1-11-11100-202000-11
χ1422-222-2-2222-2-2-2222222-2-2-2-2-2-2222-2000022-2-20-22000000000000000000000-1-1-11-1110020-20001-122-222-2-2222-2-2-2222222-2-2-2-2-2-2222-2000022-2-20-22000000000000000000000-1-1-11-1110020-20001-1
χ1522-2-1-111222-2-2-2222-1-1-1111111-1-1-1-22222-1-111-200-222-2-2-1-111-1-1-1-1-1-111111122-1-2-111000000000022-2-1-111222-2-2-2222-1-1-1111111-1-1-1-22222-1-111-200-222-2-2-1-111-1-1-1-1-1-111111122-1-2-1110000000000
χ1622-2-1-111222-2-2-2222-1-1-1111111-1-1-1-2-2-2-2-2-1-1112002-2-22211-1-1111111-1-1-1-1-1-122-1-2-111000000000022-2-1-111222-2-2-2222-1-1-1111111-1-1-1-2-2-2-2-2-1-1112002-2-22211-1-1111111-1-1-1-1-1-122-1-2-1110000000000
χ172-202-200-22-200022-2-2-2-200000022202-22-22-20000002-2002-200222-2-2-20000002-220-20000000000002-202-200-22-200022-2-2-2-200000022202-22-22-20000002-2002-200222-2-2-20000002-220-2000000000000
χ182-202-200-22-200022-2-2-2-20000002220-22-222-2000000-2200-2200-2-2-22220000002-220-20000000000002-202-200-22-200022-2-2-2-20000002220-22-222-2000000-2200-2200-2-2-22220000002-220-2000000000000
χ192-20-11i3−i3-22-200022-2111i3i3i3−i3−i3−i3-1-1-102-22-2-11i3−i300002-200-11i3−i3-1-1-1111i3i3i3−i3−i3−i32-2-101i3−i300000000002-20-11i3−i3-22-200022-2111i3i3i3−i3−i3−i3-1-1-102-22-2-11i3−i300002-200-11i3−i3-1-1-1111i3i3i3−i3−i3−i32-2-101i3−i30000000000
χ202-20-11i3−i3-22-200022-2111i3i3i3−i3−i3−i3-1-1-10-22-22-11i3−i30000-22001-1−i3i3111-1-1-1−i3−i3−i3i3i3i32-2-101i3−i300000000002-20-11i3−i3-22-200022-2111i3i3i3−i3−i3−i3-1-1-10-22-22-11i3−i30000-22001-1−i3i3111-1-1-1−i3−i3−i3i3i3i32-2-101i3−i30000000000
χ212-20-11−i3i3-22-200022-2111−i3−i3−i3i3i3i3-1-1-102-22-2-11−i3i300002-200-11−i3i3-1-1-1111−i3−i3−i3i3i3i32-2-101−i3i300000000002-20-11−i3i3-22-200022-2111−i3−i3−i3i3i3i3-1-1-102-22-2-11−i3i300002-200-11−i3i3-1-1-1111−i3−i3−i3i3i3i32-2-101−i3i30000000000
χ222-20-11−i3i3-22-200022-2111−i3−i3−i3i3i3i3-1-1-10-22-22-11−i3i30000-22001-1i3−i3111-1-1-1i3i3i3−i3−i3−i32-2-101−i3i300000000002-20-11−i3i3-22-200022-2111−i3−i3−i3i3i3i3-1-1-10-22-22-11−i3i30000-22001-1i3−i3111-1-1-1i3i3i3−i3−i3−i32-2-101−i3i30000000000
χ23333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-11111-1-1-1-11331-1-1-1-111111-1-11-1-11-1-11-1-1000000011-11-11-1-100333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-11111-1-1-1-11331-1-1-1-111111-1-11-1-11-1-11-1-1000000011-11-11-1-100
χ24333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-11111-1-1-1-11-3-31-1-1-1-111111-1-11-1-11-1-11-1-10000000-1-11-11-11100333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-11111-1-1-1-11-3-31-1-1-1-111111-1-11-1-11-1-11-1-10000000-1-11-11-11100
χ25333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-133-11111-1-1-1-1-111-111-111-1110000000-1-1-1-1-1-11100333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-133-11111-1-1-1-1-111-111-111-1110000000-1-1-1-1-1-11100
χ26333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-1-3-3-11111-1-1-1-1-111-111-111-1110000000111111-1-100333333333-13-1-1-1-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-1-3-3-11111-1-1-1-1-111-111-111-1110000000111111-1-100
χ2733-333-3-333-1-311-1-1-13-1-1-311-3113-1-111111-1-111-13-3-1-1-11111-1-11-1-11-1-1-111-11100000001-11-1-11-110033-333-3-333-1-311-1-1-13-1-1-311-3113-1-111111-1-111-13-3-1-1-11111-1-11-1-11-1-1-111-11100000001-11-1-11-1100
χ2833-333-3-333-1-311-1-1-13-1-1-311-3113-1-111111-1-111-1-33-1-1-11111-1-11-1-11-1-1-111-1110000000-11-111-11-10033-333-3-333-1-311-1-1-13-1-1-311-3113-1-111111-1-111-1-33-1-1-11111-1-11-1-11-1-1-111-1110000000-11-111-11-100
χ2933-333-3-333-1-311-1-1-13-1-1-311-3113-1-11-1-1-1-1-1-11113-3111-1-1-1-111-111-1111-1-11-1-10000000-1111-1-11-10033-333-3-333-1-311-1-1-13-1-1-311-3113-1-11-1-1-1-1-1-11113-3111-1-1-1-111-111-1111-1-11-1-10000000-1111-1-11-100
χ3033-333-3-333-1-311-1-1-13-1-1-311-3113-1-11-1-1-1-1-1-1111-33111-1-1-1-111-111-1111-1-11-1-100000001-1-1-111-110033-333-3-333-1-311-1-1-13-1-1-311-3113-1-11-1-1-1-1-1-1111-33111-1-1-1-111-111-1111-1-11-1-100000001-1-1-111-1100
χ31444-2-2-2-2444444444-2-2-2-2-2-2-2-2-2-2-2-240000-2-2-2-2000000000000000000000000-2-21-21110000000000444-2-2-2-2444444444-2-2-2-2-2-2-2-2-2-2-2-240000-2-2-2-2000000000000000000000000-2-21-21110000000000
χ3244-4-2-222444-4-4-4444-2-2-2222222-2-2-2-40000-2-222000000000000000000000000-2-2121-1-1000000000044-4-2-222444-4-4-4444-2-2-2222222-2-2-2-40000-2-222000000000000000000000000-2-2121-1-10000000000
χ334-404-400-44-400044-4-4-4-4000000444000004-400000000000000000000000000-22-2020000000000004-404-400-44-400044-4-4-4-4000000444000004-400000000000000000000000000-22-202000000000000
χ344-40-222i3−2i3-44-400044-42222i32i32i3−2i3−2i3−2i3-2-2-200000-222i3−2i3000000000000000000000000-2210-1−i3i300000000004-40-222i3−2i3-44-400044-42222i32i32i3−2i3−2i3−2i3-2-2-200000-222i3−2i3000000000000000000000000-2210-1−i3i30000000000
χ354-40-22−2i32i3-44-400044-4222−2i3−2i3−2i32i32i32i3-2-2-200000-22−2i32i3000000000000000000000000-2210-1i3−i300000000004-40-22−2i32i3-44-400044-4222−2i3−2i3−2i32i32i32i3-2-2-200000-22−2i32i3000000000000000000000000-2210-1i3−i30000000000
χ366666666-2-22-2222-2-2-222-222-222-222-222-2-2-2-2-2-2200-200002222-200-200-200-200000000000000000006666666-2-22-2222-2-2-222-222-222-222-222-2-2-2-2-2-2200-200002222-200-200-200-20000000000000000000
χ376666666-2-22-2222-2-2-222-222-222-222-2-2-222-2-2-2-2-20020000-2-2-2-2200200200200000000000000000006666666-2-22-2222-2-2-222-222-222-222-2-2-222-2-2-2-2-20020000-2-2-2-220020020020000000000000000000
χ386666666-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22000022220000000000000000000000000000000220-20-200006666666-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22000022220000000000000000000000000000000220-20-20000
χ396666666-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22000022220000000000000000000000000000000-2-2020200006666666-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22000022220000000000000000000000000000000-2-202020000
χ40666-3-3-3-366-26-2-2-2-2-2-311-311-311-311-2222211112002-2-2-2-2-1-1-1-1-111-111-111-11100000000000000000666-3-3-3-366-26-2-2-2-2-2-311-311-311-311-2222211112002-2-2-2-2-1-1-1-1-111-111-111-11100000000000000000
χ41666-3-3-3-366-26-2-2-2-2-2-311-311-311-311-2-2-2-2-21111-200-2222211111-1-11-1-11-1-11-1-100000000000000000666-3-3-3-366-26-2-2-2-2-2-311-311-311-311-2-2-2-2-21111-200-2222211111-1-11-1-11-1-11-1-100000000000000000
χ42666-3-3-3-3-2-22-2222-2-21−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i3-222-2-21111200-20000-1-1-1-11i3−i31i3−i31i3−i31i3−i300000000000000000666-3-3-3-3-2-22-2222-2-21−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i3-222-2-21111200-20000-1-1-1-11i3−i31i3−i31i3−i31i3−i300000000000000000
χ43666-3-3-3-3-2-22-2222-2-21−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i3-2-2-2221111-200200001111-1−i3i3-1−i3i3-1−i3i3-1−i3i300000000000000000666-3-3-3-3-2-22-2222-2-21−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i31−1+2i3−1−2i3-2-2-2221111-200200001111-1−i3i3-1−i3i3-1−i3i3-1−i3i300000000000000000
χ44666-3-3-3-3-2-22-2222-2-21−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i3-222-2-21111200-20000-1-1-1-11−i3i31−i3i31−i3i31−i3i300000000000000000666-3-3-3-3-2-22-2222-2-21−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i3-222-2-21111200-20000-1-1-1-11−i3i31−i3i31−i3i31−i3i300000000000000000
χ45666-3-3-3-3-2-22-2222-2-21−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i3-2-2-2221111-200200001111-1i3−i3-1i3−i3-1i3−i3-1i3−i300000000000000000666-3-3-3-3-2-22-2222-2-21−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i31−1−2i3−1+2i3-2-2-2221111-200200001111-1i3−i3-1i3−i3-1i3−i3-1i3−i300000000000000000
χ4666-666-6-6-2-222-2-22-2-2-2222-2-22-2-2-222222-2-2-2-222-2002000022-2-2-200-2002002000000000000000000066-666-6-6-2-222-2-22-2-2-2222-2-22-2-2-222222-2-2-2-222-2002000022-2-2-200-20020020000000000000000000
χ4766-666-6-6-2-222-2-22-2-2-2222-2-22-2-2-2222-2-222-2-222200-20000-2-222200200-200-2000000000000000000066-666-6-6-2-222-2-22-2-2-2222-2-22-2-2-2222-2-222-2-222200-20000-2-222200200-200-20000000000000000000
χ4866-666-6-6-2-2-2222-222-2-2-2222222-2-2-2-2000022-2-200000000000000000000000000000002-2020-2000066-666-6-6-2-2-2222-222-2-2-2222222-2-2-2-2000022-2-200000000000000000000000000000002-2020-20000
χ4966-666-6-6-2-2-2222-222-2-2-2222222-2-2-2-2000022-2-20000000000000000000000000000000-220-202000066-666-6-6-2-2-2222-222-2-2-2222222-2-2-2-2000022-2-20000000000000000000000000000000-220-2020000
χ5066-6-3-33366-2-622-2-2-2-3113-1-13-1-1-3112222211-1-1-200-2-2-222-1-111-111-1111-1-11-1-10000000000000000066-6-3-33366-2-622-2-2-2-3113-1-13-1-1-3112222211-1-1-200-2-2-222-1-111-111-1111-1-11-1-100000000000000000
χ5166-6-3-33366-2-622-2-2-2-3113-1-13-1-1-3112-2-2-2-211-1-1200222-2-211-1-11-1-11-1-1-111-1110000000000000000066-6-3-33366-2-622-2-2-2-3113-1-13-1-1-3112-2-2-2-211-1-1200222-2-211-1-11-1-11-1-1-111-11100000000000000000
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χ15612-120-66−6i36i34-44000-44-4-2-2-22i32i32i3−2i3−2i3−2i322200000-22−2i32i300000000000000000000000000000000000000000-121206-66i3−6i3-44-40004-44222−2i3−2i3−2i32i32i32i3-2-2-2000002-22i3−2i300000000000000000000000000000000000000000

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