Finite Group Databasebeta

← Group #11873401

Character table — Group #11873401

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222222224444444444444444444444444444444444444444444444444444444444449999181818181818181818181818181824242424242424244848484848484848
order1222334444446666668888888836661212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424222244444488888888444444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
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
χ9111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ11111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-11-111-11-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-111-11-1-11-111-11-1
χ13111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ14111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ15111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-11-1-11-111-11-1-11-111-1
χ16111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1-111-11-1-11-111-11-1-11
χ1722222222-2-2-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-22222220000000022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-22222000000000000000000000000
χ19222222-2-222-2-2222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-222000000000000000000000000
χ20222222-2-222-2-2222222000000002222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2000000000000000000000000
χ2122222-12222222-122-1-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022220000-1-1-1-1
χ2222222-12222222-122-1-122222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-2-2-200001111
χ2322222-12222222-122-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000022-2-20000-1-111
χ2422222-12222222-122-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000000-2-222000011-1-1
χ2522222-1-2-2-2-2222-122-1-12222-2-2-2-2-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000002-22-20000-11-11
χ2622222-1-2-2-2-2222-122-1-12222-2-2-2-2-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000-22-2200001-11-1
χ2722222-1-2-2-2-2222-122-1-1-2-2-2-22222-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000002-2-220000-111-1
χ2822222-1-2-2-2-2222-122-1-1-2-2-2-22222-1-1-1-1-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-222-200001-1-11
χ292222-12222222-12-1-12222222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000022220000-1-1-1-10000
χ302222-12222222-12-1-12222222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000011110000
χ312222-12222222-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000022-2-20000-1-1110000
χ322222-12222222-12-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000-2-222000011-1-10000
χ332222-12-2-2-2-222-12-1-1222222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000002-22-20000-11-110000
χ342222-12-2-2-2-222-12-1-1222222-2-2-2-2-1-1-1-111-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000-22-2200001-11-10000
χ352222-12-2-2-2-222-12-1-122-2-2-2-22222-1-1-1-111-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000002-2-220000-111-10000
χ362222-12-2-2-2-222-12-1-122-2-2-2-22222-1-1-1-111-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000-222-200001-1-110000
χ3722-2-2222-2000022-2-2-2-222−2−222−2−222-2-22-22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−222-2-22-2000022−2−222−2−20000000000000000
χ3822-2-2222-2000022-2-2-2-222−2−222−2−222-2-22-22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2-2-222-220000−2−222−2−2220000000000000000
χ3922-2-2222-2000022-2-2-2-2−2−222−2−22222-2-22-22-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222222-2-22-20000−2−222−2−2220000000000000000
χ4022-2-2222-2000022-2-2-2-2−2−222−2−22222-2-22-22-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222-2-222-22000022−2−222−2−20000000000000000
χ4122-2-222-22000022-2-2-2-222−2−2−2−22222-2-2-22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−2222222-2-2-22000022−2−2−2−2220000000000000000
χ4222-2-222-22000022-2-2-2-222−2−2−2−22222-2-2-22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222-2-2222-20000−2−22222−2−20000000000000000
χ4322-2-222-22000022-2-2-2-2−2−22222−2−222-2-2-22-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−222-2-2-220000−2−22222−2−20000000000000000
χ4422-2-222-22000022-2-2-2-2−2−22222−2−222-2-2-22-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2-2-2222-2000022−2−2−2−2220000000000000000
χ452-22-22200002-2-2-22-22-200002i−2i2i−2i2-22-200000000000000002-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-2002-20000002i−2i2i−2i0000000000000000
χ462-22-22200002-2-2-22-22-200002i−2i2i−2i2-22-200000000000000002-22-222-2-200000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-22-2200-22000000−2i2i−2i2i0000000000000000
χ472-22-22200002-2-2-22-22-20000−2i2i−2i2i2-22-200000000000000002-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-2002-2000000−2i2i−2i2i0000000000000000
χ482-22-22200002-2-2-22-22-20000−2i2i−2i2i2-22-200000000000000002-22-222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-22-2200-220000002i−2i2i−2i0000000000000000
χ492-22-2220000-22-2-22-22-22i−2i2i−2i00002-22-20000000000000000-22-22-2-2222i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002-22-200-22002i−2i2i−2i00000000000000000000
χ502-22-2220000-22-2-22-22-22i−2i2i−2i00002-22-20000000000000000-22-22-2-2222i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000-22-22002-200−2i2i−2i2i00000000000000000000
χ512-22-2220000-22-2-22-22-2−2i2i−2i2i00002-22-20000000000000000-22-22-2-222−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000002-22-200-2200−2i2i−2i2i00000000000000000000
χ522-22-2220000-22-2-22-22-2−2i2i−2i2i00002-22-20000000000000000-22-22-2-222−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000-22-22002-2002i−2i2i−2i00000000000000000000
χ532-2-2222002-200-2-2-22-22i2−i2−i2i2i2−i2−i2i22-2-2200002-22-2000022-2-200000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i22-2-2200002-2i2−i2−i2i2i2−i2−i2i20000000000000000
χ542-2-2222002-200-2-2-22-22i2−i2−i2i2i2−i2−i2i22-2-2200002-22-2000022-2-200000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-222-20000-22−i2i2i2−i2−i2i2i2−i20000000000000000
χ552-2-2222002-200-2-2-22-22−i2i2i2−i2−i2i2i2−i22-2-2200002-22-2000022-2-200000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i22-2-2200002-2−i2i2i2−i2−i2i2i2−i20000000000000000
χ562-2-2222002-200-2-2-22-22−i2i2i2−i2−i2i2i2−i22-2-2200002-22-2000022-2-200000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-222-20000-22i2−i2−i2i2i2−i2−i2i20000000000000000
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χ6144444-244-4-4-4-44-244-2-200000000-2-2-2-244-2-2-4-422-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-4-4-4-4-4-4-4-41111-2-2-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2000000001111-2-2-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
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χ694444-2-2-4-444-4-4-2-2-2-2-2-20000000011112222-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.