Finite Group Databasebeta

← Group #11789857

Character table — Group #11789857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-11-1i−iii−i−i11-1-1ii−i−i11-1-1i−ii−i11-1-1
χ1011-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i1-1-11−iiii−i−i11-1-1−i−iii-1-111−ii−ii-1-111
χ1111-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-111-1i−i−i−iii-1-111ii−i−i11-1-1−ii−ii-1-111
χ1211-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11ii−i−i11-111-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-11-11−ii−i−iii-1-111−i−iii-1-111i−ii−i11-1-1
χ1311-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-111-1−iiii−i−i-1-111−i−iii11-1-1i−ii−i-1-111
χ1411-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-11-11i−iii−i−i-1-111ii−i−i-1-111−ii−ii11-1-1
χ1511-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii1-11-1−ii−i−iii11-1-1−i−iii11-1-1−ii−ii11-1-1
χ1611-11-11-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11−i−iii11-111-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii1-1-11i−i−i−iii11-1-1ii−i−i-1-111i−ii−i-1-111
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ19222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20000-1-1-1-111110000000000000000
χ22222222222-1222222-1222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22200001111-1-1-1-10000000000000000
χ2322222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2522222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-2000000001111-1-1-1-100000000
χ2622222222-122222-1-12-1-1-122222-12-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-22200000000-1-1-1-1111100000000
χ2722-22-22-2-222-222-2222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ2822-22-22-2-222-222-2222-2-2-2-2-2-222-2-22222-2-2-2-220000-2-22-2-22-2-2-2-222222200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ2922-22-22-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-12i2i−2i−2i-1-1122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii2i−2i2-20000−i−iii-1-1110000000000000000
χ3022-22-22-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-12i2i−2i−2i-1-1122-2-1-1-1-1111-2112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii−2i2i-220000ii−i−i11-1-10000000000000000
χ3122-22-22-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-1−2i−2i2i2i-1-1122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i2i−2i-220000−i−iii11-1-10000000000000000
χ3222-22-22-2-22-12-2-2222-1-2-2-2111-1-1-212-1-1-11111-1−2i−2i2i2i-1-1122-2-1-1-1-1111-211−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i2i2-20000ii−i−i-1-1110000000000000000
χ3322-22-22-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-12i2i−2i−2i22-2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii00002-22i−2i00000000−i−iii-1-11100000000
χ3422-22-22-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-12i2i−2i−2i22-2-1-11-1-1-1-111-2111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000-22−2i2i00000000ii−i−i11-1-100000000
χ3522-22-22-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-1−2i−2i2i2i22-2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i00002-2−2i2i00000000ii−i−i-1-11100000000
χ3622-22-22-2-2-122-2-22-1-12111-2-2-2221-2-1-1-1-11111-1−2i−2i2i2i22-2-1-11-1-1-1-111-2111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000-222i−2i00000000−i−iii11-1-100000000
χ372-22-222-2-2222-22-2-2-2-222-22-2-22-2-2222-2-222-2-2200002-2-22-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ382-22-222-2-2222-22-2-2-2-222-22-2-22-2-2222-2-222-2-2200002-2-22-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ392-22-222-2-222-22-22-2-2-222-22-2-22-2-2222-2-222-2-222i−2i2i−2i-222-222-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ402-22-222-2-222-22-22-2-2-222-22-2-22-2-2222-2-222-2-22−2i2i−2i2i-222-222-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ412-22-222-2-22-1-22-22-2-2122-2-111-11-2-12-111-1-111-12i−2i2i−2i1-1-1-22211-1-1-1-11-2112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3i3−i3i33−33−30000000000000000
χ422-22-222-2-22-1-22-22-2-2122-2-111-11-2-12-111-1-111-12i−2i2i−2i1-1-1-22211-1-1-1-11-2112i2i−2i−2i−i−iii−i−i−i−iiiii2i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3−i3i3−i3−33−330000000000000000
χ432-22-222-2-22-1-22-22-2-2122-2-111-11-2-12-111-1-111-1−2i2i−2i2i1-1-1-22211-1-1-1-11-211−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3i3−i3i3−33−330000000000000000
χ442-22-222-2-22-1-22-22-2-2122-2-111-11-2-12-111-1-111-1−2i2i−2i2i1-1-1-22211-1-1-1-11-211−2i−2i2i2iii−i−iiiii−i−i−i−i−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3−i3i3−i33−33−30000000000000000
χ452-22-222-2-2-12-22-2211-2-1-112-2-22-212-1-111-1-111-12i−2i2i−2i-2221-1-111-1-1-1-1-2111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii00000000000000003−33−3−i3i3−i3i300000000
χ462-22-222-2-2-12-22-2211-2-1-112-2-22-212-1-111-1-111-12i−2i2i−2i-2221-1-111-1-1-1-1-2111−i−iii2i2i−2i−2i−i−i−i−iiiii−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−33−33i3−i3i3−i300000000
χ472-22-222-2-2-12-22-2211-2-1-112-2-22-212-1-111-1-111-1−2i2i−2i2i-2221-1-111-1-1-1-1-2111ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i00000000000000003−33−3i3−i3i3−i300000000
χ482-22-222-2-2-12-22-2211-2-1-112-2-22-212-1-111-1-111-1−2i2i−2i2i-2221-1-111-1-1-1-1-2111ii−i−i−2i−2i2i2iiiii−i−i−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−33−33−i3i3−i3i300000000
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χ502-2-2-2-22222222-2-2-2-2-2-2-22-2222-22-222-2-2-2-222200002-222-2222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ512-2-2-2-222222-2-222-2-2-2-2-22-2222-22-222-2-2-2-22222-2-22-22-2-22-2-2-222-2-2222222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ522-2-2-2-222222-2-222-2-2-2-2-22-2222-22-222-2-2-2-2222-222-2-22-2-22-2-2-222-2-22222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ532-2-2-2-22222-1-2-222-2-21-2-221-1-1-11212-11111-1-1-12-2-221-11-22-211-1-111-12-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000003−3−33−333−30000000000000000
χ542-2-2-2-22222-1-2-222-2-21-2-221-1-1-11212-11111-1-1-12-2-221-11-22-211-1-111-12-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-100000000−333−33−3−330000000000000000
χ552-2-2-2-22222-1-2-222-2-21-2-221-1-1-11212-11111-1-1-1-222-21-11-22-211-1-111-12-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000003−3−333−3−330000000000000000
χ562-2-2-2-22222-1-2-222-2-21-2-221-1-1-11212-11111-1-1-1-222-21-11-22-211-1-111-12-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000−333−3−333−30000000000000000
χ572-2-2-2-2222-12-2-22211-211-1-2222-2-1-2-1-11111-1-1-12-2-22-22-21-1111-1-1112-1-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-10000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ582-2-2-2-2222-12-2-22211-211-1-2222-2-1-2-1-11111-1-1-12-2-22-22-21-1111-1-1112-1-1-1-1-11122-2-2-1-1-1-1111111-1-1-2-2221111-1-1-1-10000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ592-2-2-2-2222-12-2-22211-211-1-2222-2-1-2-1-11111-1-1-1-222-2-22-21-1111-1-1112-1-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-111110000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ602-2-2-2-2222-12-2-22211-211-1-2222-2-1-2-1-11111-1-1-1-222-2-22-21-1111-1-1112-1-1-111-1-1-2-2221111-1-1-1-1-1-11122-2-2-1-1-1-111110000000000000000i3−i3−i3i3−i3i3i3−i300000000
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χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-21122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.