Finite Group Databasebeta

← Group #11792738

Character table — Group #11792738

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order122222334444666666666612121212366666666688881212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422244466666688121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111111111-1-1
χ922222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i0000002i2i−2i−2i0000
χ1022222222-2-2-2-22222222222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i000000−2i−2i2i2i0000
χ112222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122022000-1-1-1-10000-1-1-1-100000000
χ122222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200011110000111100000000
χ132222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111220-2-2000-1-1-1-10000111100000000
χ142222222-1222222-1-1-1-1-1-12-12222-122-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-202200011110000-1-1-1-100000000
χ15222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002002-1-1000022-1-10000-1-1-1-10000
χ16222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-200-2110000-2-211000011110000
χ17222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111002002-1-10000-2-2-1-1000011110000
χ18222222-122222-1-1222222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111100-200-211000022110000-1-1-1-10000
χ19222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000−i3i300002i−2i−i3i30000−i−iii0000
χ20222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3000000i3−i30000−2i2ii3−i30000ii−i−i0000
χ21222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000−i3i30000−2i2i−i3i30000ii−i−i0000
χ22222222-12-2-2-2-2-1-1222222-121111-1-1-1-1-1-1-1-1-1-1000011-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333000000i3−i300002i−2ii3−i30000−i−iii0000
χ232222-2-22222-2-22222-2-2-2-22222222-2-222-2-2-2-2222-2-2-2-22-2-222-2-2-2-222222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ242222-2-22222-2-22222-2-2-2-22222222-2-222-2-2-2-22-2-222-2-22-2-222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ252222-2-222-2-2222222-2-2-2-222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-20000000000000000000000000000000000200-222000000-2-2000000000000
χ262222-2-222-2-2222222-2-2-2-222-2-2-2-22-2-222-2-2-2-22000022-222-2-22222-2-2-20000000000000000000000000000000000-2002-2-200000022000000000000
χ272222-2-22-122-2-222-1-111112-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i30000−i3−i3i3i300000000
χ282222-2-22-122-2-222-1-111112-12222-1-2-2-1-11111-122-2-2-2-2-111-1-11111-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i30000i3i3−i3−i300000000
χ292222-2-22-122-2-222-1-111112-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i30000i3i3−i3−i300000000
χ302222-2-22-122-2-222-1-111112-12222-1-2-2-1-11111-1-2-222-2-2-111-1-11111-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i30000−i3−i3i3i300000000
χ312222-2-2-1222-2-2-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000−i3i3000000i3−i30000−i3i3−i3i30000
χ322222-2-2-1222-2-2-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-122-2-2112-2-2-1-111112-1-1-1-111-1-1112222-2-2-2-2-1-1-1-11111-1-1-1-11111000000i3−i3000000−i3i30000i3−i3i3−i30000
χ332222-2-2-1222-2-2-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000−i3i3000000i3−i30000i3−i3i3−i30000
χ342222-2-2-1222-2-2-1-122-2-2-2-2-12-1-1-1-1-111-1-11111-1-2-222112-2-2-1-111112-1-111-1-111-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-1000000i3−i3000000−i3i30000−i3i3−i3i30000
χ352222-2-2-12-2-222-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300200-2-1-10000001100003−3−330000
χ362222-2-2-12-2-222-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-21133−3−3−3−333000000003333−3−3−3−3−3−3−3−3333300-200211000000-1-10000−333−30000
χ372222-2-2-12-2-222-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−300200-2-1-1000000110000−333−30000
χ382222-2-2-12-2-222-1-122-2-2-2-2-121111-111-1-11111-10000-1-1-22211-1-1-1-1-211−3−33333−3−300000000−3−3−3−333333333−3−3−3−300-200211000000-1-100003−3−330000
χ392-2-222-2222-22-2-2-2-2-222-2-22222-2-222-2-2-222-2-2200002-2-22-2-2-222-2-2222000000000000000000000000000000000002-2000000000002-22-200000000
χ402-2-222-2222-22-2-2-2-2-222-2-22222-2-222-2-2-222-2-2200002-2-22-2-2-222-2-222200000000000000000000000000000000000-2200000000000-22-2200000000
χ412-2-222-222-22-22-2-2-2-222-2-222-2-22222-2-2-222-2-220000-222-2222-2-222-2-2-2000000000000000000000000000000000000000000000000000000002-200
χ422-2-222-222-22-22-2-2-2-222-2-222-2-22222-2-2-222-2-220000-222-2222-2-222-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ432-2-222-22-12-22-2-2-211-1-1112-122-2-2-12-211-1-111-100002-21-1111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30002-2000−i3i3−i3i30000-11-1100000000
χ442-2-222-22-12-22-2-2-211-1-1112-122-2-2-12-211-1-111-100002-21-1111-1-111-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000-22000i3−i3i3−i300001-11-100000000
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χ472-2-22-22222-2-22-2-2-2-2-2-2222222-2-22-22-2-2-2-22220000-22-2-22-2-2-2-222222000000000000000000000000000000002-20000002-2-220000000000000000
χ482-2-22-22222-2-22-2-2-2-2-2-2222222-2-22-22-2-2-2-22220000-22-2-22-2-2-2-22222200000000000000000000000000000000-22000000-222-20000000000000000
χ492-2-22-2222-222-2-2-2-2-2-2-22222-2-2222-22-2-2-2-222200002-222-22222-2-2-2-2-200000000000000000000000000000000000000000000000000000000002-2
χ502-2-22-2222-222-2-2-2-2-2-2-22222-2-2222-22-2-2-2-222200002-222-22222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000-22
χ512-2-22-222-12-2-22-2-21111-1-12-122-2-2-1-221111-1-1-10000-2211-11111-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i32-2000000-111-10000−i3i3i3−i300000000
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χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-123232323−23−23−23−2300000000−3−3−3−3−3−3−3−3333333330000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-222221-2-21111111000022222-1-1-1-1-1-12-1-1−23−23−23−23232323230000000033333333−3−3−3−3−3−3−3−30000000000000000000000000000
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χ644444-4-4-2-2-4-444-2-2-2-22222-2-2222212211-1-1-1-110000-2-22-2-2-1-111112-1-1−23−2323232323−23−23000000003333−3−3−3−3−3−3−3−333330000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.