Finite Group Databasebeta

← Group #11872170

Character table — Group #11872170

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122233444444666666121212122234466612121212121212121212121212126666666612121212121212121212121288882424242424242424244466881212121212122424242422244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-111-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-11
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1111-1-11
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111111-1-1-111-1
χ9111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-1-11-1111
χ10111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1111-1-111-1-111111-11-1-1-1
χ11111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1111-1-1-111-1-111-1-1111-11-1-1-1
χ12111111-1-1-1-111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-11-1-11111-1-111-1-1-11-1111
χ13111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-11-11-111-11-1-111-1-1-1-111-1-11-1111-1
χ14111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-111-1-11-1-1-1111111-1-111-11-1-1-11
χ15111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1111111-1-111-1111-1-1-1-1-1-11111-11-1-1-11
χ16111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-11-11-1-11-111-1-11111-1-1-1-11-1111-1
χ1722222222-2-2-2-222222222220020022222-2-2-2-22222-2-2-2-2000000000000-2-2-2-20000000000000000000000000000000000002-2-2002
χ1822222222-2-2-2-222222222220020022222-2-2-2-22222-2-2-2-2000000000000-2-2-2-2000000000000000000000000000000000000-22200-2
χ19222222-2-222-2-2222222-2-2-2-200200222-2-22222-2-2-2-2-2-2-2-2000000000000-2-22200000000000000000000000000000000000022-200-2
χ20222222-2-222-2-2222222-2-2-2-200200222-2-22222-2-2-2-2-2-2-2-2000000000000-2-222000000000000000000000000000000000000-2-22002
χ2122222-1222222-12-122-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000000002002-1-1220000-1-1-1-1-1-100000000
χ2222222-1222222-12-122-1222222-122-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-200-211-2-2000011111100000000
χ2322222-1222222-12-122-12222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2111111-2-211-1-1-1-111110000000000002002-1-1-2-20000-1-1111100000000
χ2422222-1222222-12-122-12222-2-2-1-2-2-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2111111-2-211-1-1-1-11111000000000000-200-21122000011-1-1-1-100000000
χ2522222-1-2-2-2-222-12-122-1-2-2-2-222-1-2-2-1-1-111-2-2111111-1-12222-1-1-1-1-1-1-2-211-1-1111111000000000000200-2-1-12-2000011-1-11100000000
χ2622222-1-2-2-2-222-12-122-1-2-2-2-222-1-2-2-1-1-111-2-2111111-1-12222-1-1-1-1-1-1-2-211-1-1111111000000000000-200211-220000-1-111-1-100000000
χ2722222-1-2-2-2-222-12-122-1-2-2-2-2-2-2-122-1-1-111-2-2111111-1-122-2-211111122-1-1-1-111-1-1-1-1000000000000200-2-1-1-2200001111-1-100000000
χ2822222-1-2-2-2-222-12-122-1-2-2-2-2-2-2-122-1-1-111-2-2111111-1-122-2-211111122-1-1-1-111-1-1-1-1000000000000-2002112-20000-1-1-1-11100000000
χ292222-122222222-12-1-12-1-1-1-122-122-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-100000000000000
χ302222-122222222-12-1-12-1-1-1-122-122-1-1-122-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-200000111100000000000000
χ312222-122222222-12-1-12-1-1-1-1-2-2-1-2-2-1-1-122-1-122-1-1-1-122-1-111-2-2111111-2-2-1-1-1-111112222-1-1-1-1-1-1-1-10-2-200000111100000000000000
χ322222-122222222-12-1-12-1-1-1-1-2-2-1-2-2-1-1-122-1-122-1-1-1-122-1-111-2-2111111-2-2-1-1-1-11111-2-2-2-21111111102200000-1-1-1-100000000000000
χ332222-12-2-2-2-2222-12-1-12111122-1-2-2-1-1-1-2-211-2-2111122-1-1-1-122-1-1-1-111-2-2-1-111111122-2-2-1-1-1-1111102-200000-1-11100000000000000
χ342222-12-2-2-2-2222-12-1-12111122-1-2-2-1-1-1-2-211-2-2111122-1-1-1-122-1-1-1-111-2-2-1-1111111-2-2221111-1-1-1-10-220000011-1-100000000000000
χ352222-12-2-2-2-2222-12-1-121111-2-2-122-1-1-1-2-211-2-2111122-1-111-2-21111-1-122-1-111-1-1-1-122-2-2-1-1-1-111110-220000011-1-100000000000000
χ362222-12-2-2-2-2222-12-1-121111-2-2-122-1-1-1-2-211-2-2111122-1-111-2-21111-1-122-1-111-1-1-1-1-2-2221111-1-1-1-102-200000-1-11100000000000000
χ372-22-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i002002-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-20000000000002-22i−2i00000000000000000000000000000000002-20002i−2i0
χ382-22-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i002002-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22-20000000000002-22i−2i0000000000000000000000000000000000-22000−2i2i0
χ392-22-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i2-222i−2i2-2-22i−2i−2i2i−2i2i2i2i−2i−2i-22-222-22-222-2-22i−2i2i−2i-22−2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ402-22-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i-222−2i2i2-2-22i−2i−2i2i−2i2i2i2i−2i−2i-22-22-22-22-2-222−2i2i−2i2i-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ412-22-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i2-22−2i2i2-2-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-222-22-222-2-2−2i2i−2i2i-222i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ422-22-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i-2222i−2i2-2-2−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-22-22-2-2222i−2i2i−2i-222i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ432-22-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i00000000000000000000000000000000002-2000−2i2i0
χ442-22-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i002002-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i0000000000000000000000000000000000-220002i−2i0
χ452-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i2-2-12i−2i-111−ii−2i2ii−i−i−iii1-1-222-2-11-1-1112i−2i−ii1-1i−i−i−iii0000000000000000−i3i30000003−3−i3i33−300000000
χ462-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i2-2-12i−2i-111−ii−2i2ii−i−i−iii1-1-222-2-11-1-1112i−2i−ii1-1i−i−i−iii0000000000000000i3−i3000000−33i3−i3−3300000000
χ472-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-22-1−2i2i-111−ii−2i2ii−i−i−iii1-1-22-221-111-1-1−2i2ii−i1-1i−iii−i−i0000000000000000−i3i30000003−3i3−i3−3300000000
χ482-22-22-12i−2i−2i2i-22-1-212-212i2i−2i−2i-22-1−2i2i-111−ii−2i2ii−i−i−iii1-1-22-221-111-1-1−2i2ii−i1-1i−iii−i−i0000000000000000i3−i3000000−33−i3i33−300000000
χ492-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i2-2-1−2i2i-111i−i2i−2i−iiii−i−i1-1-222-2-11-1-111−2i2ii−i1-1−iiii−i−i0000000000000000−i3i3000000−33−i3i3−3300000000
χ502-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i2-2-1−2i2i-111i−i2i−2i−iiii−i−i1-1-222-2-11-1-111−2i2ii−i1-1−iiii−i−i0000000000000000i3−i30000003−3i3−i33−300000000
χ512-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-22-12i−2i-111i−i2i−2i−iiii−i−i1-1-22-221-111-1-12i−2i−ii1-1−ii−i−iii0000000000000000−i3i3000000−33i3−i33−300000000
χ522-22-22-1−2i2i2i−2i-22-1-212-21−2i−2i2i2i-22-12i−2i-111i−i2i−2i−iiii−i−i1-1-22-221-111-1-12i−2i−ii1-1−ii−i−iii0000000000000000i3−i30000003−3−i3i3−3300000000
χ532-22-2-122i−2i−2i2i-2221-2-11-2−i−iii2-2-12i−2i-1112i−2ii−i−2i2i−i−iii-221-1-112-2-1-111−ii2i−2i1-1i−i−i−iii0000−i3−i3i3i333−3−300000000−i3i33−300000000000000
χ542-22-2-122i−2i−2i2i-2221-2-11-2−i−iii2-2-12i−2i-1112i−2ii−i−2i2i−i−iii-221-1-112-2-1-111−ii2i−2i1-1i−i−i−iii0000i3i3−i3−i3−3−33300000000i3−i3−3300000000000000
χ552-22-2-122i−2i−2i2i-2221-2-11-2−i−iii-22-1−2i2i-1112i−2ii−i−2i2i−i−iii-221-11-1-2211-1-1i−i−2i2i1-1i−iii−i−i0000−i3−i3i3i333−3−300000000i3−i3−3300000000000000
χ562-22-2-122i−2i−2i2i-2221-2-11-2−i−iii-22-1−2i2i-1112i−2ii−i−2i2i−i−iii-221-11-1-2211-1-1i−i−2i2i1-1i−iii−i−i0000i3i3−i3−i3−3−33300000000−i3i33−300000000000000
χ572-22-2-12−2i2i2i−2i-2221-2-11-2ii−i−i2-2-1−2i2i-111−2i2i−ii2i−2iii−i−i-221-1-112-2-1-111i−i−2i2i1-1−iiii−i−i0000−i3−i3i3i3−3−33300000000−i3i3−3300000000000000
χ582-22-2-12−2i2i2i−2i-2221-2-11-2ii−i−i2-2-1−2i2i-111−2i2i−ii2i−2iii−i−i-221-1-112-2-1-111i−i−2i2i1-1−iiii−i−i0000i3i3−i3−i333−3−300000000i3−i33−300000000000000
χ592-22-2-12−2i2i2i−2i-2221-2-11-2ii−i−i-22-12i−2i-111−2i2i−ii2i−2iii−i−i-221-11-1-2211-1-1−ii2i−2i1-1−ii−i−iii0000−i3−i3i3i3−3−33300000000i3−i33−300000000000000
χ602-22-2-12−2i2i2i−2i-2221-2-11-2ii−i−i-22-12i−2i-111−2i2i−ii2i−2iii−i−i-221-11-1-2211-1-1−ii2i−2i1-1−ii−i−iii0000i3i3−i3−i333−3−300000000−i3i3−3300000000000000
χ6144444-244-4-4-4-4-24-244-2444400-200-2-2-2-2-2-4-422-2-2-2-222-4-40000000000002222000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-24-244-2-4-4-4-400-200-2-2-22244-2-2222222-4-400000000000022-2-2000000000000000000000000000000000000000000
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χ664444-2-2444444-2-2-2-2-2-2-2-2-2-2-4-41-4-4111-2-2-2-2-2-21111-2-2-2-22222-1-1-1-122221111-1-1-1-100000000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-200100111-2-222221111222200003-33-30000-1-1-1-13-33-300000000000000000000000000000000000000
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χ714444-2-2-4-4-4-444-2-2-2-2-2-22222441-4-4111222222-1-1-1-1-2-2-2-2-2-2-2-21111222211-1-1-1-1-1-100000000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-22222-4-4144111222222-1-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-211-1-1111100000000000000000000000000000000000000
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χ7444-4-444000000-444-4-4-4000000400-4-4400000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000000000
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χ7744-4-4-24000000-4-2422-42i3−2i32i3−2i300-20022-20000002i3−2i32i3−2i3000000000000000000000000−2i22i200i2−i2i2−i2−66−6600000000000000000000000000
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χ794-44-44-24i−4i4i−4i4-4-2-424-424i4i−4i−4i00-200-222−2i2i4i−4i−2i2i−2i−2i2i2i-224-4000000000000-22−2i2i000000000000000000000000000000000000000000
χ804-44-44-2−4i4i−4i4i4-4-2-424-42−4i−4i4i4i00-200-2222i−2i−4i4i2i−2i2i2i−2i−2i-224-4000000000000-222i−2i000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-442-4-22-4−2i−2i2i2i00-200-2224i−4i−2i2i4i−4i−2i−2i2i2i4-4-22000000000000-22−2i2i000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-442-4-22-42i2i−2i−2i00-200-222−4i4i2i−2i−4i4i2i2i−2i−2i4-4-22000000000000-222i−2i000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i001001-1-1−2i2i−2i2i−2i2iii−i−i-22-2200003-3-3300001-1i−i3i−3i−3i3i00000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i001001-1-1−2i2i−2i2i−2i2iii−i−i-22-220000-333-300001-1i−i−3i3i3i−3i00000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i4-414i−4i1-1-1−2i2i2i−2i2i−2iii−i−i2-22-2-22-2211-1-1−2i2i−2i2i-11−iiii−i−i00000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i-441−4i4i1-1-1−2i2i2i−2i2i−2iii−i−i2-22-22-22-2-1-1112i−2i2i−2i-11−ii−i−iii00000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i4-41−4i4i1-1-12i−2i−2i2i−2i2i−i−iii2-22-2-22-2211-1-12i−2i2i−2i-11i−i−i−iii00000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i-4414i−4i1-1-12i−2i−2i2i−2i2i−i−iii2-22-22-22-2-1-111−2i2i−2i2i-11i−iii−i−i00000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i001001-1-12i−2i2i−2i2i−2i−i−iii-22-2200003-3-3300001-1−ii−3i3i3i−3i00000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i001001-1-12i−2i2i−2i2i−2i−i−iii-22-220000-333-300001-1−ii3i−3i−3i3i00000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-444000000400-44-400000000000000000000000000000000000022−22000022−22−222200000000000000000000000000
χ924-4-4444000000-4-4-4-444000000400-44-4000000000000000000000000000000000000−22220000−222222−2200000000000000000000000000
χ934-4-44-24000000-42-42-2423−23−232300-2002-2200000023−23−23230000000000000000000000000022−226−6−66−222−200000000000000000000000000
χ944-4-44-24000000-42-42-2423−23−232300-2002-2200000023−23−232300000000000000000000000000−2222−666−62−2−2200000000000000000000000000
χ954-4-44-24000000-42-42-24−232323−2300-2002-22000000−232323−230000000000000000000000000022−22−666−6−222−200000000000000000000000000
χ964-4-44-24000000-42-42-24−232323−2300-2002-22000000−232323−2300000000000000000000000000−22226−6−662−2−2200000000000000000000000000
χ9788-8-88-400000048-4-8-84000000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-40000004-4-4444−4i34i3−4i34i300200-2-220000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000004-4-44444i3−4i34i3−4i300200-2-22000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000004-84-88-4000000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−434300200-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−4300200-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).