Finite Group Databasebeta

← Group #11872952

Character table — Group #11872952

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212441212121212121212121212121212121212121212244444448888242424242424242424666121212121212121212224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-111-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1111111111111-1-11-1-111-1-1-1-11-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-1111-1-1-111-1-11111-1-1-1-1-111-1-1-1111-1-1-11111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-11-11-1-1-111-1-111-1-1-1-11111-111-1-1-11-1-111-111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-11-1-1111-111-1-11-1-1-1-111-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1111-1-111-1-1-1-111111-1-1111-1-1-1111-1-111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-1111-1-1-1-1-111-1-1-1-111111-1111-1111-1-1-1-1-111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-11111-1-11111-1-1-1-11-1111-11-1-111-1-1-1-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11-1111-1-1-1-111-1-1-1-11111-11-1-1-11-111-1-1111-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-111111-1-11111-1-1-1-1-11-1-1-11-1-1-11111111-1-1-11
χ1722222222-2-2-2-22222222222222222-2-2-2-2-2-22222-2-20000000000-2-2-2-2000000002-2-20020000000000000000200-2-20000200000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-22222-2-20000000000-2-2-2-200000000-22200-20000000000000000-200220000-200000000
χ19222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000-2-2220000000022-200-200000000000000002002-20000-200000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000-2-22200000000-2-220020000000000000000-200-220000200000000
χ2122222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12220020000000000000022-1-1-1-1-10000-1-1-1000000
χ2222222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-200000000000000-2-2111110000111000000
χ2322222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-11111111122200200000000000000-2-2-111-1-10000-111000000
χ2422222-12222222-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2-2-211-1-1-1-111111111-2-2-200-200000000000000221-1-11100001-1-1000000
χ2522222-122-2-2-2-22-1-122-12222-1-1-1-1-1-111-2-211-1-1-1-1-2-200−i3i30000−i3i31111−i3−i3i3i3−i3−i3i3i32-2-20020000000000000000-1−i3i3110000-1−i3i3000000
χ2622222-122-2-2-2-22-1-122-12222-1-1-1-1-1-111-2-211-1-1-1-1-2-200−i3i30000−i3i31111−i3−i3i3i3−i3−i3i3i3-22200-200000000000000001i3−i3-1-100001i3−i3000000
χ2722222-122-2-2-2-22-1-122-12222-1-1-1-1-1-111-2-211-1-1-1-1-2-200i3−i30000i3−i31111i3i3−i3−i3i3i3−i3−i32-2-20020000000000000000-1i3−i3110000-1i3−i3000000
χ2822222-122-2-2-2-22-1-122-12222-1-1-1-1-1-111-2-211-1-1-1-1-2-200i3−i30000i3−i31111i3i3−i3−i3i3i3−i3−i3-22200-200000000000000001−i3i3-1-100001−i3i3000000
χ2922222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-200−i3i30000i3−i311-1-1−i3−i3i3i3i3i3−i3−i322-200-20000000000000000-1i3−i3-1100001−i3i3000000
χ3022222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-200−i3i30000i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-2200200000000000000001−i3i31-10000-1i3−i3000000
χ3122222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-200i3−i30000−i3i311-1-1i3i3−i3−i3−i3−i3i3i322-200-20000000000000000-1−i3i3-1100001i3−i3000000
χ3222222-1-2-222-2-22-1-122-1-2-2-2-2-1-1-1-1111122-1-11111-2-200i3−i30000−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-2200200000000000000001i3−i31-10000-1−i3i3000000
χ3322222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2111111222-2-1-122-2-211-1-111-1-1-1-111112-2200-200000000000000-22-1111-100001-1-1000000
χ3422222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-1-1-2-2111111222-2-1-122-2-211-1-111-1-1-1-11111-22-2002000000000000002-21-1-1-110000-111000000
χ3522222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-1-1-2-211111122-2211-2-222-1-1-1-1111111-1-1-1-12-2200-2000000000000002-2-1-1-11-10000111000000
χ3622222-1-2-2-2-2222-1-122-1-2-2-2-2-1-1-1-111-1-1-2-211111122-2211-2-222-1-1-1-1111111-1-1-1-1-22-200200000000000000-22111-110000-1-1-1000000
χ372222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000220222222-1-1-1-1-1-1-1-10000000-1-1-1-1000000000
χ382222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000-2-20-2-2-2-2-2-21111111100000001111000000000
χ392222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-2-2-21111-2-2-1-1-1-11111111100022022-2-2-2-2111111110000000-1-1-1-1000000000
χ402222-12222222-122-1-12-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-2-2-21111-2-2-1-1-1-111111111000-2-20-2-22222-1-1-1-1-1-1-1-100000001111000000000
χ412222-12-2-2-2-222-122-1-121111-1-1-1-1-2-22211-2-21111-1-12-222-1-111-2-2-1-111-1-1-1-11111000220-2-222-2-2-1-1-1-111110000000-1-111000000000
χ422222-12-2-2-2-222-122-1-121111-1-1-1-1-2-22211-2-21111-1-12-222-1-111-2-2-1-111-1-1-1-11111000-2-2022-2-2221111-1-1-1-1000000011-1-1000000000
χ432222-12-2-2-2-222-122-1-121111-1-1-1-1-2-22211-2-21111-1-1-22-2-211-1-122-1-1111111-1-1-1-1000220-2-2-2-2221111-1-1-1-10000000-1-111000000000
χ442222-12-2-2-2-222-122-1-121111-1-1-1-1-2-22211-2-21111-1-1-22-2-211-1-122-1-1111111-1-1-1-1000-2-202222-2-2-1-1-1-11111000000011-1-1000000000
χ452-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-200000000002-22i−2i0000000000000000000000000000000000000000002-22i−2i00
χ462-22-2222i−2i2i−2i2-2-2-222-2-22i2i−2i−2i2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-200000000002-22i−2i000000000000000000000000000000000000000000-22−2i2i00
χ472-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i2-22-22i−2i-22−2i2i−2i2i2i2i−2i−2i-220000000000-22−2i2i000000000002-202i−2i00000000000000000002-22i−2i000000000
χ482-22-2222i−2i−2i2i-22-2-222-2-22i2i−2i−2i2-22-22i−2i-22−2i2i−2i2i2i2i−2i−2i-220000000000-22−2i2i00000000000-220−2i2i0000000000000000000-22−2i2i000000000
χ492-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-22-2−2i2i-222i−2i2i−2i−2i−2i2i2i-220000000000-222i−2i000000000002-20−2i2i00000000000000000002-2−2i2i000000000
χ502-22-222−2i2i2i−2i-22-2-222-2-2−2i−2i2i2i2-22-2−2i2i-222i−2i2i−2i−2i−2i2i2i-220000000000-222i−2i00000000000-2202i−2i0000000000000000000-222i−2i000000000
χ512-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-200000000002-2−2i2i0000000000000000000000000000000000000000002-2−2i2i00
χ522-22-222−2i2i−2i2i2-2-2-222-2-2−2i−2i2i2i2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-200000000002-2−2i2i000000000000000000000000000000000000000000-222i−2i00
χ532-22-2-122i−2i−2i2i-221-22-11-2−i−iii-11-112i−2i-22i−i−2i2i−i−iii1-10000−i3i33−3001-1i−i−i3i3−i3i33−33−30002-202i−2i0000−i3−i3i3i333−3−30000000-11−ii000000000
χ542-22-2-122i−2i−2i2i-221-22-11-2−i−iii-11-112i−2i-22i−i−2i2i−i−iii1-10000−i3i33−3001-1i−i−i3i3−i3i33−33−3000-220−2i2i0000i3i3−i3−i3−3−33300000001-1i−i000000000
χ552-22-2-122i−2i−2i2i-221-22-11-2−i−iii-11-112i−2i-22i−i−2i2i−i−iii1-10000i3−i3−33001-1i−ii3−i3i3−i3−33−330002-202i−2i0000i3i3−i3−i3−3−3330000000-11−ii000000000
χ562-22-2-122i−2i−2i2i-221-22-11-2−i−iii-11-112i−2i-22i−i−2i2i−i−iii1-10000i3−i3−33001-1i−ii3−i3i3−i3−33−33000-220−2i2i0000−i3−i3i3i333−3−300000001-1i−i000000000
χ572-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-11-11−2i2i-22−ii2i−2iii−i−i1-10000−i3i3−33001-1−ii−i3i3−i3i3−33−330002-20−2i2i0000−i3−i3i3i3−3−3330000000-11i−i000000000
χ582-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-11-11−2i2i-22−ii2i−2iii−i−i1-10000−i3i3−33001-1−ii−i3i3−i3i3−33−33000-2202i−2i0000i3i3−i3−i333−3−300000001-1−ii000000000
χ592-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-11-11−2i2i-22−ii2i−2iii−i−i1-10000i3−i33−3001-1−iii3−i3i3−i33−33−30002-20−2i2i0000i3i3−i3−i333−3−30000000-11i−i000000000
χ602-22-2-12−2i2i2i−2i-221-22-11-2ii−i−i-11-11−2i2i-22−ii2i−2iii−i−i1-10000i3−i33−3001-1−iii3−i3i3−i33−33−3000-2202i−2i0000−i3−i3i3i3−3−33300000001-1−ii000000000
χ614444-2444-4-4-4-4-244-2-24-2-2-2-2-2-2-2-244-4-422-4-4-2-2-2-22200000000002222000000000000000000000000000000000000000000000000
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χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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χ664444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-21111-2-2222222111122002i3−2i300002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
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χ7544-4-4-24000000-24-422-42i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i3000000000000000000000000000000000022−22−i6i6−i6i6−22−2200000000000000000000
χ7644-4-4-24000000-24-422-42i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i30000000000000000000000000000000000−2222i6−i6i6−i62−22−200000000000000000000
χ774-44-44-24i−4i4i−4i4-4-42-24-424i4i−4i−4i-22-22−2i2i-224i−4i−2i2i−2i−2i2i2i4-40000000000-22−2i2i000000000000000000000000000000000000000000000000
χ784-44-44-24i−4i−4i4i-44-42-24-424i4i−4i−4i-22-22−2i2i2-2−4i4i2i−2i−2i−2i2i2i-4400000000002-22i−2i000000000000000000000000000000000000000000000000
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χ804-44-44-2−4i4i−4i4i4-4-42-24-42−4i−4i4i4i-22-222i−2i-22−4i4i2i−2i2i2i−2i−2i4-40000000000-222i−2i000000000000000000000000000000000000000000000000
χ814-44-4-244i−4i4i−4i4-42-44-22-4−2i−2i2i2i-22-224i−4i4-4−2i2i4i−4i−2i−2i2i2i-220000000000-22−2i2i000000000000000000000000000000000000000000000000
χ824-44-4-24−4i4i−4i4i4-42-44-22-42i2i−2i−2i-22-22−4i4i4-42i−2i−4i4i2i2i−2i−2i-220000000000-222i−2i000000000000000000000000000000000000000000000000
χ834-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i1-11-1−2i2i-22−2i2i−2i2iii−i−i-2200000000001-1i−i3-3-333i−3i−3i3i0000000000000000000000000000000000000000
χ844-44-4-2-24i−4i4i−4i4-422-2-222−2i−2i2i2i1-11-1−2i2i-22−2i2i−2i2iii−i−i-2200000000001-1i−i-333-3−3i3i3i−3i0000000000000000000000000000000000000000
χ854-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i1-11-1−2i2i2-22i−2i2i−2iii−i−i2-20000−2i32i323−2300-11−iii3−i3i3−i3−33−330000000000000000000000000000000000000000
χ864-44-4-2-24i−4i−4i4i-4422-2-222−2i−2i2i2i1-11-1−2i2i2-22i−2i2i−2iii−i−i2-200002i3−2i3−232300-11−ii−i3i3−i3i33−33−30000000000000000000000000000000000000000
χ874-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i1-11-12i−2i2-2−2i2i−2i2i−i−iii2-20000−2i32i3−232300-11i−ii3−i3i3−i33−33−30000000000000000000000000000000000000000
χ884-44-4-2-2−4i4i4i−4i-4422-2-2222i2i−2i−2i1-11-12i−2i2-2−2i2i−2i2i−i−iii2-200002i3−2i323−2300-11i−i−i3i3−i3i3−33−330000000000000000000000000000000000000000
χ894-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i1-11-12i−2i-222i−2i2i−2i−i−iii-2200000000001-1−ii3-3-33−3i3i3i−3i0000000000000000000000000000000000000000
χ904-44-4-2-2−4i4i−4i4i4-422-2-2222i2i−2i−2i1-11-12i−2i-222i−2i2i−2i−i−iii-2200000000001-1−ii-333-33i−3i−3i3i0000000000000000000000000000000000000000
χ914-4-4444000000-4-4-4-44400004-4-440000000000000000000000000000000000000000000022−220022−22−2222000000000000000000000000
χ924-4-4444000000-4-4-4-44400004-4-4400000000000000000000000000000000000000000000−222200−222222−22000000000000000000000000
χ934-4-44-240000002-4-42-2423−23−2323-222-20000000023−23−23230000000000000000000000000000000022−2200−222−2−666−600000000000000000000
χ944-4-44-240000002-4-42-2423−23−2323-222-20000000023−23−232300000000000000000000000000000000−2222002−2−226−6−6600000000000000000000
χ954-4-44-240000002-4-42-24−232323−23-222-200000000−232323−230000000000000000000000000000000022−2200−222−26−6−6600000000000000000000
χ964-4-44-240000002-4-42-24−232323−23-222-200000000−232323−2300000000000000000000000000000000−2222002−2−22−666−600000000000000000000
χ9788-8-88-40000008-44-8-840000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4000000-4-44444−4i34i3−4i34i322-2-2000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000000-4-444444i3−4i34i3−4i322-2-200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-4000000-844-88-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000004444-4-443−43−43432-2-2200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000004444-4-4−434343−432-2-220000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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