Finite Group Databasebeta

← Group #11884271

Character table — Group #11884271

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order122233444466666612121212236666666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422222444446666121212122444612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-111-1-1111111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-1-1-1-111-1-111
χ8111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1111111-1-111-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11-1-111-1-11-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-111-1-111-11-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-111-11-1-111-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-11-111-1-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-11-11-111-1-1-1-1111-1-111-11-11-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-1-11111-1-1-1-111-111-1-11-11-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-111-1-1-1-11111-1-1-111-11-11-1-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-11-11-11-1-11111-1-11-1-11-11-111-1
χ1722222222-2-22222222222-22-2-2-2-222-2-2-2-220000-222-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-22222222222-22-2-2-2-222-2-2-2-220000-222-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ19222222-2-2-2-2222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-22-2000000
χ20222222-2-2-2-2222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-22-22000000
χ2122222-12222-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000220-1-1-1-1-1-1-1-10000000000
χ2222222-12222-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000-2-20111111110000000000
χ2322222-12222-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20002-20-1-111-1-1110000000000
χ2422222-12222-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222000-22011-1-111-1-10000000000
χ2522222-1-2-222-1-1222-11111-2-1-2-211-1-11111-122-2-22-2-2-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222000-2-20-1-1-1-111110000000000
χ2622222-1-2-222-1-1222-11111-2-1-2-211-1-11111-122-2-22-2-2-1-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-20002201111-1-1-1-10000000000
χ2722222-1-2-222-1-1222-11111-2-1-2-211-1-11111-1-2-2222-2-2-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-2000-220-1-11111-1-10000000000
χ2822222-1-2-222-1-1222-11111-2-1-2-211-1-11111-1-2-2222-2-2-1-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2220002-2011-1-1-1-1110000000000
χ292222-12222222-1-1-1222222-1-1-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222002000000000000-1-1-1-100
χ302222-12222222-1-1-1222222-1-1-122-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-200-2000000000000111100
χ312222-12222222-1-1-1222222-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-200-2000000000000-1-11100
χ322222-12222222-1-1-1222222-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2200200000000000011-1-100
χ332222-12-2-22222-1-1-12-2-2-2-2-2-111-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002-2-2002000000000000-111-100
χ342222-12-2-22222-1-1-12-2-2-2-2-2-111-2-2-1-11111-122-2-2-1112-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-22200-20000000000001-1-1100
χ352222-12-2-22222-1-1-12-2-2-2-2-2-111-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002-2200-2000000000000-11-1100
χ362222-12-2-22222-1-1-12-2-2-2-2-2-111-2-2-1-11111-1-2-222-1112-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-22-20020000000000001-11-100
χ372-2-222200-22-2-2-2-2220000020000-2-2000022-200-200-2-2-20000222222-2-222-2-22222-2-2-2-200000000000000002-22-20000002-22-200000000000000
χ382-2-222200-22-2-2-2-2220000020000-2-2000022-200-200-2-2-20000222222-2-222-2-22222-2-2-2-20000000000000000-22-22000000-22-2200000000000000
χ392-2-222200-22-2-2-2-2220000020000-2-200002-2200-200-2-2-200002222-2-222-2-222-2-2-2-2222200000000000000002-2-220000002-2-2200000000000000
χ402-2-222200-22-2-2-2-2220000020000-2-200002-2200-200-2-2-200002222-2-222-2-222-2-2-2-222220000000000000000-222-2000000-222-200000000000000
χ412-2-222-100-2211-2-22-1−i3−i3i3i30-100−i3i311−i3−i3i3i3-12-200-200111−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-22-2000000-11-11−i3i3−i3i30000000000
χ422-2-222-100-2211-2-22-1−i3−i3i3i30-100−i3i311−i3−i3i3i3-12-200-200111−i3−i3i3i32-1-1-122-2-2-1-111-1-1-1-111110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-22-220000001-11-1i3−i3i3−i30000000000
χ432-2-222-100-2211-2-22-1−i3−i3i3i30-100−i3i311−i3−i3i3i3-1-2200-200111−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2-22000000-111-1−i3i3i3−i30000000000
χ442-2-222-100-2211-2-22-1−i3−i3i3i30-100−i3i311−i3−i3i3i3-1-2200-200111−i3−i3i3i32-1-1-1-2-22211-1-11111-1-1-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-222-20000001-1-11i3−i3−i3i30000000000
χ452-2-222-100-2211-2-22-1i3i3−i3−i30-100i3−i311i3i3−i3−i3-12-200-200111i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-2000000-11-11i3−i3i3−i30000000000
χ462-2-222-100-2211-2-22-1i3i3−i3−i30-100i3−i311i3i3−i3−i3-12-200-200111i3i3−i3−i32-1-1-122-2-2-1-111-1-1-1-111110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-220000001-11-1−i3i3−i3i30000000000
χ472-2-222-100-2211-2-22-1i3i3−i3−i30-100i3−i311i3i3−i3−i3-1-2200-200111i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-2-22000000-111-1i3−i3−i3i30000000000
χ482-2-222-100-2211-2-22-1i3i3−i3−i30-100i3−i311i3i3−i3−i3-1-2200-200111i3i3−i3−i32-1-1-1-2-22211-1-11111-1-1-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-222-20000001-1-11−i3i3i3−i30000000000
χ4944444-244-4-4-2-2444-2-2-2-2-2-4-2-4-422-2-22222-20000-444222-2-2-2-2-4222000000000000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-2444-222224-244-2-2-2-2-2-2-2-2-20000-4-4-42222222-4222000000000000000000000000000000000000000000000000000000000000
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χ524444-24-4-4-4-444-2-2-24-4-4-4-44-2-2-244-2-2-2-2-2-2-20000222-42222222-422000000000000000000000000000000000000000000000000000000000000
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χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41222211-1-1-1-1100002-2-22-1-1111122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-1144-4-4-222-211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
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χ594444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-2111111100002222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2-2-2111111100002222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
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χ6744-4-4-2400004-4-222-400000-2−2i32i300-22−2i32i3−2i32i3200−2i22i2000000000000006−66−600006−6−666−6−66i2i2−i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ6844-4-4-2400004-4-222-400000-2−2i32i300-22−2i32i3−2i32i32002i2−2i200000000000000−66−660000−666−6−666−6−i2−i2i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
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χ7044-4-4-2400004-4-222-400000-22i3−2i300-222i3−2i32i3−2i32002i2−2i2000000000000006−66−600006−6−666−6−66−i2−i2i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.