Finite Group Databasebeta

← Group #11889256

Character table — Group #11889256

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order12223344446666661212121223666666666668888121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244244444661212121212122444612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-11-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-11111-1-11111-1-111-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-11-1-111-11-1-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-111-1-11-111-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-111-11-11-11-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111-1-11-11-11-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1111-1-111-1-11-1-111-1-111-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1111-1-111-1-111-1-1-111-1-111-1-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-111-1-111-1-111-111-11-1-11-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-1-1-111-1-1111-1-11-111-11-1
χ1722222222-2-22222222222-22-2-2-2-222-2-2-2-220000-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-22222222222-22-2-2-2-222-2-2-2-220000-2-222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
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
χ2122222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000202202000000000000-1-1-1-100
χ2222222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-20-2-20-2000000000000111100
χ2322222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000202-20-2000000000000-1-11100
χ2422222-1222222-1-12-122222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-20-220200000000000011-1-100
χ2522222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-122-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000020-220-2000000000000-11-1100
χ2622222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-122-2-22-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-202-2020000000000001-11-100
χ2722222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-1-2-2222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000020-2-202000000000000-111-100
χ2822222-1-2-22222-1-12-1-2-2-2-2-2-1-2-211-1-11111-1-2-2222-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-20220-20000000000001-1-1100
χ292222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222020020-1-1-1-1-1-1-1-10000000000
χ302222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20-200-20111111110000000000
χ312222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20-20020-1-11111-1-10000000000
χ322222-122222-1-122-12-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2220200-2011-1-1-1-1110000000000
χ332222-12-2-222-1-122-121111-2-111-2-2-1-11111-122-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122220-200-20-1-1-1-111110000000000
χ342222-12-2-222-1-122-121111-2-111-2-2-1-11111-122-2-2-12-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-20200201111-1-1-1-10000000000
χ352222-12-2-222-1-122-121111-2-111-2-2-1-11111-1-2-222-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-20200-20-1-111-1-1110000000000
χ362222-12-2-222-1-122-121111-2-111-2-2-1-11111-1-2-222-12-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2220-2002011-1-111-1-10000000000
χ372-2-2222002-2-2-2-2-2220000020000-2-2000022i−2i002200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002-22i−2i0000002-22i−2i00000000000000
χ382-2-2222002-2-2-2-2-2220000020000-2-2000022i−2i002200220000-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i2i000000-22−2i2i00000000000000
χ392-2-2222002-2-2-2-2-2220000020000-2-200002−2i2i002200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002-2−2i2i0000002-2−2i2i00000000000000
χ402-2-2222002-2-2-2-2-2220000020000-2-200002−2i2i002200220000-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-222i−2i000000-222i−2i00000000000000
χ412-2-22-12002-211-2-2-12−i3−i3i3i30-1−i3i30011−i3−i3i3i3-12i−2i00-1200-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−32-22i−2i000000-11−ii3−3−i3i30000000000
χ422-2-22-12002-211-2-2-12−i3−i3i3i30-1−i3i30011−i3−i3i3i3-12i−2i00-1200-1-1−i3−i3i3i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii33−3−300003333−3−3−3−3-22−2i2i0000001-1i−i−33i3−i30000000000
χ432-2-22-12002-211-2-2-12−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1−2i2i00-1200-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−333332-2−2i2i000000-11i−i−33−i3i30000000000
χ442-2-22-12002-211-2-2-12−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1−2i2i00-1200-1-1−i3−i3i3i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i−3−3330000−3−3−3−33333-222i−2i0000001-1−ii3−3i3−i30000000000
χ452-2-22-12002-211-2-2-12i3i3−i3−i30-1i3−i30011i3i3−i3−i3-12i−2i00-1200-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−333332-22i−2i000000-11−ii−33i3−i30000000000
χ462-2-22-12002-211-2-2-12i3i3−i3−i30-1i3−i30011i3i3−i3−i3-12i−2i00-1200-1-1i3i3−i3−i31-211−i−iii2i2i−2i−2i−i−i−i−iiiii−3−3330000−3−3−3−33333-22−2i2i0000001-1i−i3−3−i3i30000000000
χ472-2-22-12002-211-2-2-12i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1−2i2i00-1200-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−32-2−2i2i000000-11i−i3−3i3−i30000000000
χ482-2-22-12002-211-2-2-12i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1−2i2i00-1200-1-1i3i3−i3−i31-211ii−i−i−2i−2i2i2iiiii−i−i−i−i33−3−300003333−3−3−3−3-222i−2i0000001-1−ii−33−i3i30000000000
χ4944444-244-4-444-2-24-24444-4-2-4-422-2-22222-20000-42-2-222-2-2-2-2-4222000000000000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-24-2-4-4-4-44-244-2-2-2-2-2-2-2-2-20000-4222222222-4222000000000000000000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-244-24-2-2-2-2-4-222-4-4-2-22222-200002-44422-2-2-2-22-422000000000000000000000000000000000000000000000000000000000000
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χ544444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2-2-21111111-4-4-4-4-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
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χ584444-2-2-4-444-2-2-2-2-2-22222-41222211-1-1-1-11-4-444-2-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
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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χ6844-4-4-240000-224-42-423−2323−230-20000-2200002002i2−2i200000023−2323−230000−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i6−i2i2−i2i22i22i2−2i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ6944-4-4-240000-224-42-4−2323−23230-20000-220000200−2i22i2000000−2323−23230000−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i6i2−i2i2−i2−2i2−2i22i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ7044-4-4-240000-224-42-4−2323−23230-20000-2200002002i2−2i2000000−2323−23230000i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i6−i2i2−i2i22i22i2−2i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.