Finite Group Databasebeta

← Group #11873365

Character table — Group #11873365

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444449999181818181818181818181818181824242424242424244848484848484848
order122233444444666666888888883666121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422224444448888888822224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ11111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-111-1-111-1-11
χ12111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-111-1
χ13111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11-1-11-111-11-1-11-11
χ14111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-111-11-1-11-111-11-1
χ15111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-1
χ16111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11
χ1722222222-2-2-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-222-2-2000000000000000000000000
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χ2122222-122222222-1-12-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022002200-1-100-1-1
χ2222222-122222222-1-12-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-200-2-200110011
χ2322222-122222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002200-2-200-1-10011
χ2422222-122222222-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2-20022001100-1-1
χ2522222-1-2-2-2-22222-1-12-12222-2-2-2-2-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002-2002-200-1100-11
χ2622222-1-2-2-2-22222-1-12-12222-2-2-2-2-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000-2200-22001-1001-1
χ2722222-1-2-2-2-22222-1-12-1-2-2-2-22222-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002-200-2200-11001-1
χ2822222-1-2-2-2-22222-1-12-1-2-2-2-22222-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-22002-2001-100-11
χ292222-12222222-1-122-1222222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000022002200-1-100-1-100
χ302222-12222222-1-122-1222222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20011001100
χ312222-12222222-1-122-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000002200-2-200-1-1001100
χ322222-12222222-1-122-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000-2-20022001100-1-100
χ332222-12-2-2-2-222-1-122-122222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000002-2002-200-1100-1100
χ342222-12-2-2-2-222-1-122-122222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000-2200-22001-1001-100
χ352222-12-2-2-2-222-1-122-12-2-2-2-22222-1-1-1-111-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000002-200-2200-11001-100
χ362222-12-2-2-2-222-1-122-12-2-2-2-22222-1-1-1-111-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-22002-2001-100-1100
χ3722-2-22200002-22-22-2-2-200002i2i−2i−2i22-2-200000000000000002-22-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-22-2000000002i2i−2i−2i0000000000000000
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χ4122-2-2220000-222-22-2-2-22i2i−2i−2i000022-2-20000000000000000-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000022-2-2-2200002i2i−2i−2i00000000000000000000
χ4222-2-2220000-222-22-2-2-22i2i−2i−2i000022-2-20000000000000000-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-2-2222-20000−2i−2i2i2i00000000000000000000
χ4322-2-2220000-222-22-2-2-2−2i−2i2i2i000022-2-20000000000000000-22-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000022-2-2-220000−2i−2i2i2i00000000000000000000
χ4422-2-2220000-222-22-2-2-2−2i−2i2i2i000022-2-20000000000000000-22-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-2-2222-200002i2i−2i−2i00000000000000000000
χ452-22-2222-20000-22-22-2-2i2−i2i2−i2i2−i2i2−i22-22-22-22-2000022-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-22-2002-200i2−i2i2−i2i2−i2i2−i20000000000000000
χ462-22-2222-20000-22-22-2-2i2−i2i2−i2i2−i2i2−i22-22-22-22-2000022-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2-22-2200-2200−i2i2−i2i2−i2i2−i2i20000000000000000
χ472-22-2222-20000-22-22-2-2−i2i2−i2i2−i2i2−i2i22-22-22-22-2000022-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22-2002-200−i2i2−i2i2−i2i2−i2i20000000000000000
χ482-22-2222-20000-22-22-2-2−i2i2−i2i2−i2i2−i2i22-22-22-22-2000022-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-22-2200-2200i2−i2i2−i2i2−i2i2−i20000000000000000
χ492-22-222-220000-22-22-2-2i2−i2i2−i2−i2i2−i2i22-22-2-22-220000-2-222000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22-200-2200i2−i2i2−i2−i2i2−i2i20000000000000000
χ502-22-222-220000-22-22-2-2i2−i2i2−i2−i2i2−i2i22-22-2-22-220000-2-222000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-22-22002-200−i2i2−i2i2i2−i2i2−i20000000000000000
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χ522-22-222-220000-22-22-2-2−i2i2−i2i2i2−i2i2−i22-22-2-22-220000-2-222000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2-22-22002-200i2−i2i2−i2−i2i2−i2i20000000000000000
χ532-2-2222002-200-2-2-2-2222−2−222−2−222-2-2200002-22-2000022-2-2000000002−2−222−2−2222−2−2−2−2222−2−222−2−2222−2−2−2−2222-2-2200002-22−2−222−2−220000000000000000
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χ1174-4-44-2-200-44002222-2-222−22−2222−222222−221-1-1100002-22-23i−3i−3i3i-1-11100003i−3i−3i3i−222−2−222−22ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−2−222−2−22ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000
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χ1194-4-44-2-200-44002222-2-2−222222−2222−22−22221-1-1100002-22-23i−3i−3i3i-1-11100003i−3i−3i3i2−2−222−2−22−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−222−2−222−2−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000
χ1204-4-44-2-200-44002222-2-2−222222−2222−22−22221-1-1100002-22-2−3i3i3i−3i-1-1110000−3i3i3i−3i2−2−222−2−22ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−222−2−222−22ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.