Finite Group Databasebeta

← Group #72252796

Character table — Group #72252796

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222444444444444888888888888888816161616161616161818181818181818363636363636363636363636363636363636363636363636363636363636363672727272727272727272727272727272727272727272727272727272727272727272727281818181162162162162
order122233666666333666666666333366666666666633666666444488884444444412121212121212122424242424242424242424242424242412121212121212121212121212121212121212121212121212121212121212121212121222228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111-1-11111111-1-111-1-111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111-1-111111-1-111-1-111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ911-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1i−ii−ii−ii−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i11-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ1011-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1−ii−ii−ii−ii-1-1-1-1111111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii11-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ1111-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111i−ii−i−ii−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111i−ii−i−ii−ii11-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111
χ1211-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111−ii−iii−ii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111−ii−iii−ii−i11-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111
χ1311-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1i−i−iii−i−ii-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iii−i−ii-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111
χ1411-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1−iii−i−iii−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−iii−i-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111
χ1511-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111i−i−ii−iii−i-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−ii−iii−i-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ1611-1-11111-1-1-1-1111-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111−iii−ii−i−ii-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−ii−i−ii-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ17222222222222222222222222222222222222222222222222-222-2000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000000000000000-2-2-2-20000
χ18222222222222222222222222222222222222222222222222-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-200000000000000000000000022220000
χ1922222-12-122-1-122-122-1-122-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-120022222002200222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-1-100-1-10000002200220000-1-1-1-10000-1-1-1-100000000
χ2022222-12-122-1-122-122-1-122-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12002222200-2-200-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100110011000000-2-200-2-2000011110000111100000000
χ2122222-12-122-1-122-122-1-122-12222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12002-2-2-2-2002200-2-22-1-1-12-1-1-1-2-2111111-2-211111100-1-100110000002200-2-20000-1-1-1-10000111100000000
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χ232222-12-12-1-12222-122-1-122-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-12002222222002200-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-1-100000022002200-1-1-1-10000-1-1-1-1000000000000
χ242222-12-12-1-12222-122-1-122-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-120022222-2-200-2-200-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1110011000000-2-200-2-200111100001111000000000000
χ252222-12-12-1-12222-122-1-122-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-12002-2-2-2-22200-2-200-12-1-1-12-1-111-2-2111111-2-21111-1-100110000002200-2-200-1-1-1-100001111000000000000
χ262222-12-12-1-12222-122-1-122-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-12002-2-2-2-2-2-2002200-12-1-1-12-1-111-2-2111111-2-211111100-1-1000000-2-200220011110000-1-1-1-1000000000000
χ2722-2-22222-2-2-2-2222-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-20000000000002222-2-2-2-200000000000000000000000022-2-2000000000000000000000000-2-2220000
χ2822-2-22222-2-2-2-2222-2-2-2-2222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22-22-20000000000002222-2-2-2-2000000000000000000000000-2-22200000000000000000000000022-2-20000
χ2922-2-22-12-1-2-21122-1-2-21122-1-2-222-1-122-1-1-2-211-2-211-1-1-1-11111-200222-2-2002i−2i002i−2i-21112-1-1-122-1-1-1-1-1-1-2-211111100−ii00−ii0000002i−2i002i−2i0000−i−iii0000−i−iii00000000
χ3022-2-22-12-1-2-21122-1-2-21122-1-2-222-1-122-1-1-2-211-2-211-1-1-1-11111-200222-2-200−2i2i00−2i2i-21112-1-1-122-1-1-1-1-1-1-2-211111100i−i00i−i000000−2i2i00−2i2i0000ii−i−i0000ii−i−i00000000
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χ3222-2-22-12-1-2-21122-1-2-21122-1-2-222-1-122-1-1-2-211-2-211-1-1-1-11111-2002-2-22200−2i2i002i−2i-21112-1-1-1-2-211111122-1-1-1-1-1-100i−i00−ii000000−2i2i002i−2i0000ii−i−i0000−i−iii00000000
χ3322-2-2-12-1211-2-222-1-2-21122-1-2-2-1-122-1-12211-2-211-2-2-1-1-1-11111-200222-2-22i−2i002i−2i001-211-12-1-1-1-122-1-1-1-111-2-21111−ii00−ii0000002i−2i002i−2i00−i−iii0000−i−iii000000000000
χ3422-2-2-12-1211-2-222-1-2-21122-1-2-2-1-122-1-12211-2-211-2-2-1-1-1-11111-200222-2-2−2i2i00−2i2i001-211-12-1-1-1-122-1-1-1-111-2-21111i−i00i−i000000−2i2i00−2i2i00ii−i−i0000ii−i−i000000000000
χ3522-2-2-12-1211-2-222-1-2-21122-1-2-2-1-122-1-12211-2-211-2-2-1-1-1-11111-2002-2-2222i−2i00−2i2i001-211-12-1-111-2-21111-1-122-1-1-1-1−ii00i−i0000002i−2i00−2i2i00−i−iii0000ii−i−i000000000000
χ3622-2-2-12-1211-2-222-1-2-21122-1-2-2-1-122-1-12211-2-211-2-2-1-1-1-11111-2002-2-222−2i2i002i−2i001-211-12-1-111-2-21111-1-122-1-1-1-1i−i00−ii000000−2i2i002i−2i00ii−i−i0000−i−iii000000000000
χ372-22-222-2-22-22-22222-22-2-2-2-22-22222-2-2-2-22-22-22-22-222-2-222-2-20000i2−i2i2−i20000000000000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i20000000000000000000000000000000000002-22-2i2−i2i2−i2
χ382-22-222-2-22-22-22222-22-2-2-2-22-22222-2-2-2-22-22-22-22-222-2-222-2-20000i2−i2i2−i20000000000000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000000000-22-22−i2i2−i2i2
χ392-22-222-2-22-22-22222-22-2-2-2-22-22222-2-2-2-22-22-22-22-222-2-222-2-20000−i2i2−i2i20000000000000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i20000000000000000000000000000000000002-22-2−i2i2−i2i2
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χ412-2-2222-2-2-22-22222-22-22-2-2-2-222222-2-2-2-2-22-22-22-2222-2-2-2-2220000i2−i2−i2i20000000000000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i20000000000000000000000000000000000002-2-22i2−i2−i2i2
χ422-2-2222-2-2-22-22222-22-22-2-2-2-222222-2-2-2-2-22-22-22-2222-2-2-2-2220000i2−i2−i2i20000000000000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2000000000000000000000000000000000000-222-2−i2i2i2−i2
χ432-2-2222-2-2-22-22222-22-22-2-2-2-222222-2-2-2-2-22-22-22-2222-2-2-2-2220000−i2i2i2−i20000000000000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i20000000000000000000000000000000000002-2-22−i2i2i2−i2
χ442-2-2222-2-2-22-22222-22-22-2-2-2-222222-2-2-2-2-22-22-22-2222-2-2-2-2220000−i2i2i2−i20000000000000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2000000000000000000000000000000000000-222-2i2−i2−i2i2
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χ49444444444444-214-2144-2141-2-21-21-21-21-21-211-21-2-21-21-21-21044000002222000000000000000000000000000022220000-21-21-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.