Finite Group Databasebeta

← Group #11865607

Character table — Group #11865607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672
order122233446666661212121236668812121212121224242424242424242424242424242424444448812121212242424242661212442222266446666661212121266668812121212121224242424242424242424242424242424444448812121212242424242661212442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111-1-1-1-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-111-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-111-1-11
χ81111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002200-20022-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002200-20022-2-2000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-200200-2-222000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-200200-2-222000000000000
χ1122222-122-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000000002-1-1-1-100022222-122-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000000002-1-1-1-1000
χ1222222-122-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-2111100022222-122-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-21111000
χ1322222-122-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111002200000000000-211-1-100022222-122-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111002200000000000-211-1-1000
χ1422222-122-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100-2-2000000000002-1-11100022222-122-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100-2-2000000000002-1-111000
χ152222-122222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200222-1-1-1-1-1-1-1-1000000002222-122222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200222-1-1-1-1-1-1-1-100000000
χ162222-122222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-211111111000000002222-122222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-21111111100000000
χ172222-122222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122002-2-2-1-1-1-11111000000002222-122222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122002-2-2-1-1-1-1111100000000
χ182222-122222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-200-2221111-1-1-1-1000000002222-122222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-200-2221111-1-1-1-100000000
χ192222-12-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−32200-200-1-11133−3−3000000002222-12-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−32200-200-1-11133−3−300000000
χ202222-12-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-20020011-1-1−3−333000000002222-12-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-20020011-1-1−3−33300000000
χ212222-12-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−333332200-200-1-111−3−333000000002222-12-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−333332200-200-1-111−3−33300000000
χ222222-12-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-20020011-1-133−3−3000000002222-12-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-20020011-1-133−3−300000000
χ2322-2-222002-2-22-2-2000022-2-2−i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2000−i2i22-200−i2i2−i2i20000000022-2-222002-2-22-2-2000022-2-2−i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2000−i2i22-200−i2i2−i2i200000000
χ2422-2-222002-2-22-2-2000022-2-2−i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22000i2−i2-2200i2−i2i2−i20000000022-2-222002-2-22-2-2000022-2-2−i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22000i2−i2-2200i2−i2i2−i200000000
χ2522-2-222002-2-22-2-2000022-2-2i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2000i2−i22-200i2−i2i2−i20000000022-2-222002-2-22-2-2000022-2-2i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2000i2−i22-200i2−i2i2−i200000000
χ2622-2-222002-2-22-2-2000022-2-2i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22000−i2i2-2200−i2i2−i2i20000000022-2-222002-2-22-2-2000022-2-2i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22000−i2i2-2200−i2i2−i2i200000000
χ2722-2-2-12002-21-11-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232-2000−i2i2-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000022-2-2-12002-21-11-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232-2000−i2i2-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ2822-2-2-12002-21-11-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-22000i2−i21-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000022-2-2-12002-21-11-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-22000i2−i21-1−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ2922-2-2-12002-21-11-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232-2000i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000022-2-2-12002-21-11-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232-2000i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ3022-2-2-12002-21-11-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-22000−i2i21-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000022-2-2-12002-21-11-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-22000−i2i21-1−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ3122-2-2-12002-21-11-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-2000−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000022-2-2-12002-21-11-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72-2000−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ3222-2-2-12002-21-11-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-22000i2−i21-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000022-2-2-12002-21-11-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-22000i2−i21-13−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ3322-2-2-12002-21-11-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-2000i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000022-2-2-12002-21-11-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72-2000i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ3422-2-2-12002-21-11-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-22000−i2i21-13−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000022-2-2-12002-21-11-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-22000−i2i21-13−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ352-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-20000000000000000000000000000000000002i−2i02-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-20000000000000000000000000000000000002i−2i0
χ362-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-2000000000000000000000000000000000000−2i2i02-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-2000000000000000000000000000000000000−2i2i0
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χ382-22-222-22-2-22-2-22-2-2222-2-2200-2-2-2222000000000000000000-2200000000000000-220002-22-222-22-2-22-2-22-2-2222-2-2200-2-2-2222000000000000000000-2200000000000000-22000
χ392-22-22-1-22112-2-2-1-2-222-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-2000000000000−i3i3-110002-22-22-1-22112-2-2-1-2-222-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-2000000000000−i3i3-11000
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χ454444-2-244-2-2-2-2-2-2-2-2-2-21111-4-4-211-21122222222-1-1-1-1-1-1-1-1000000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-4-4-211-21122222222-1-1-1-1-1-1-1-100000000000000000000000
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χ474444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-1−23−23232300003333−3−3−3−3000000000000000000000004444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-1−23−23232300003333−3−3−3−300000000000000000000000
χ4844-4-44-200-22-44-420000-2-222−2i22i2000000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000044-4-44-200-22-44-420000-2-222−2i22i2000000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000
χ4944-4-44-200-22-44-420000-2-2222i2−2i20000002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000044-4-44-200-22-44-420000-2-2222i2−2i20000002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000
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χ11744-4-44-200-22-44-420000-2-222−2i22i2000000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000-4-444-42002-24-44-2000022-2-22i2−2i20000002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.