Finite Group Databasebeta

← Group #11876944

Character table — Group #11876944

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order12223344444466666636668888121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444442244444424888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-11-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-11-1-1-1111
χ51111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-111-111-1-1-1-11-11-1-111-1
χ61111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-1-1111-1-1-1-1-11-111-1-11
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-1-1-11
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11111-1
χ9111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-111-1-111-11-11-1-1
χ10111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-111-1-111-1-1-1-11-11-111
χ11111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111-1-11-1-111
χ12111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-111-111-1-1
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-111-11-1-1-1-1111-1-1-111-11
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1111-1-11-1-1-1-1-111-1111-1-11-1
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11-11-11111-1-111-1-11-11-1
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-11-111111-1-1-1-111-11-11
χ1722222222-2-2-2-2222222222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2000000002-2000000000000
χ1822222222-2-2-2-2222222222200002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000-22000000000000
χ19222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200000000-22000000000000
χ20222222-2-222-2-222222222220000-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222000000002-2000000000000
χ2122222-1222222222-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000020002220000000-1000-1-1-1
χ2222222-1222222222-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2000-2-2-200000001000111
χ2322222-1222222222-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000002000-2-220000000-100011-1
χ2422222-1222222222-1-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-200022-200000001000-1-11
χ2522222-1-2-2-2-222222-1-1-1-1-1-1-122-2-2-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000020002-2-20000000-1000-111
χ2622222-1-2-2-2-222222-1-1-1-1-1-1-122-2-2-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000-2000-222000000010001-1-1
χ2722222-1-2-2-2-222222-1-1-1-1-1-1-1-2-222-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000002000-22-20000000-10001-11
χ2822222-1-2-2-2-222222-1-1-1-1-1-1-1-2-222-2-211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000-20002-2200000001000-11-1
χ292222-12222222-1-1-1222-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000020222000000000-10-1-1-1000
χ302222-12222222-1-1-1222-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-20-2-2-200000000010111000
χ312222-12222222-1-1-1222-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000202-2-2000000000-10-111000
χ322222-12222222-1-1-1222-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-20-222000000000101-1-1000
χ332222-12-2-2-2-222-1-1-1222-1-1-1-122-2-211-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000020-22-2000000000-101-11000
χ342222-12-2-2-2-222-1-1-1222-1-1-1-122-2-211-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-202-2200000000010-11-1000
χ352222-12-2-2-2-222-1-1-1222-1-1-1-1-2-22211-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000020-2-22000000000-1011-1000
χ362222-12-2-2-2-222-1-1-1222-1-1-1-1-2-22211-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-2022-200000000010-1-11000
χ3722-2-22200002-22-2-22-2-222-2-2002i−2i00000000000000002-22-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i−2i2i−2i0000000000002-200000000
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χ3922-2-22200002-22-2-22-2-222-2-200−2i2i00000000000000002-22-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i000000000000-2200000000
χ4022-2-22200002-22-2-22-2-222-2-200−2i2i00000000000000002-22-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i2i−2i2i0000000000002-200000000
χ4122-2-2220000-222-2-22-2-222-2-22i−2i000000000000000000-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002i−2i−2i2i00000000002-20000000000
χ4222-2-2220000-222-2-22-2-222-2-22i−2i000000000000000000-22-22-2-2222i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000−2i2i2i−2i0000000000-220000000000
χ4322-2-2220000-222-2-22-2-222-2-2−2i2i000000000000000000-22-22-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002i−2i−2i2i0000000000-220000000000
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χ4544444-244-4-4-4-4444-2-2-2-2-2-2-2000044-2-2-4-422-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000
χ4644444-2-4-444-4-4444-2-2-2-2-2-2-20000-4-42244-2-22222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000
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χ504444-2-2444444-2-2-2-2-2-21111-4-4-4-4-2-2-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
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χ524444-2-244-4-4-4-4-2-2-2-2-2-211110000-2-2-2-222221111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-2111100002222-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111144-4-422222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-21111-4-44422222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000
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χ784-44-44-200−4i4i00-44-42-22-22-2200000000−4i4i2i−2i00002i−2i2i−2i000000000000−66−66−66−66−66−660000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i600000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.