Finite Group Databasebeta

← Group #11895975

Character table — Group #11895975

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order122233444466666612121212346668888121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444422244466121212121212444466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-111
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-11111-1-111-1-1
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-111-1-1111-11-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-111-1-111-11-11-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-1-11-111-11-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111-1-111-1-11-11-1-11-111-1
χ13111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-111111-1-1-1-1-11-111-1-111-1
χ14111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-11-11-11111-1-1-1-11-11-1-111-1-11
χ15111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-11-11-11-1-1-1-111111-11-11-1-11-11
χ16111111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-1-1-1-1-11111-11-11-111-11-1
χ1722222222-2-222222222222-22220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ1822222222-2-222222222222-22220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ19222222-2-2-2-2222222-2-2-2-22222200002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-2-22000000
χ20222222-2-2-2-2222222-2-2-2-22222200002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-222-2000000
χ2122222-12222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022022000000000000-1-1-1-100
χ2222222-12222-1-1222-12222-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-20-2-2000000000000111100
χ2322222-12222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000220-2-2000000000000-1-11100
χ2422222-12222-1-1222-12222-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-2-202200000000000011-1-100
χ2522222-1-2-222-1-1222-1-2-2-2-2-1-2-1-1-122-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000002-202-2000000000000-11-1100
χ2622222-1-2-222-1-1222-1-2-2-2-2-1-2-1-1-122-2-211-2-21111111111-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000-220-220000000000001-11-100
χ2722222-1-2-222-1-1222-1-2-2-2-2-1-2-1-1-1-2-22211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000002-20-22000000000000-111-100
χ2822222-1-2-222-1-1222-1-2-2-2-2-1-2-1-1-1-2-22211-2-21111111111-1-122-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000-2202-20000000000001-1-1100
χ292222-12222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222200200-1-1-1-1-1-1-1-10000000000
χ302222-12222222-1-1-12-1-1-1-1-12-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-200-200111111110000000000
χ312222-12222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-20020011-1-1-1-1110000000000
χ322222-12222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-222200-200-1-11111-1-10000000000
χ332222-12-2-22222-1-1-121111-1-2-1-1-122-2-2-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-200-20011-1-111-1-10000000000
χ342222-12-2-22222-1-1-121111-1-2-1-1-122-2-2-2-211-2-21111111122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2200200-1-111-1-1110000000000
χ352222-12-2-22222-1-1-121111-1-2-1-1-1-2-222-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-2200-200-1-1-1-111110000000000
χ362222-12-2-22222-1-1-121111-1-2-1-1-1-2-222-2-211-2-21111111122-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-222-2002001111-1-1-1-10000000000
χ3722-2-22200-222-22-2-2-20000202-2-22i−2i00000000000000002-22-222-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002-22i−2i000000002-2002i−2i0000000000
χ3822-2-22200-222-22-2-2-20000202-2-22i−2i00000000000000002-22-222-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000-22−2i2i00000000-2200−2i2i0000000000
χ3922-2-22200-222-22-2-2-20000202-2-2−2i2i00000000000000002-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002-2−2i2i000000002-200−2i2i0000000000
χ4022-2-22200-222-22-2-2-20000202-2-2−2i2i00000000000000002-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000-222i−2i00000000-22002i−2i0000000000
χ4122-2-2-1200-222-2-111-233−3−3-10-1112i−2i00003−30033−3−333−3−32-2-11-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32-22i−2i000000−i3i3-113−3−ii0000000000
χ4222-2-2-1200-222-2-111-233−3−3-10-1112i−2i00003−30033−3−333−3−32-2-11-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-22−2i2i000000i3−i31-1−33i−i0000000000
χ4322-2-2-1200-222-2-111-233−3−3-10-111−2i2i00003−30033−3−333−3−32-2-11-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−ii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-2−2i2i000000i3−i3-113−3i−i0000000000
χ4422-2-2-1200-222-2-111-233−3−3-10-111−2i2i00003−30033−3−333−3−32-2-11-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−ii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-222i−2i000000−i3i31-1−33−ii0000000000
χ4522-2-2-1200-222-2-111-2−3−333-10-1112i−2i0000−3300−3−333−3−3332-2-11-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-22i−2i000000i3−i3-11−33−ii0000000000
χ4622-2-2-1200-222-2-111-2−3−333-10-1112i−2i0000−3300−3−333−3−3332-2-11-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-22−2i2i000000−i3i31-13−3i−i0000000000
χ4722-2-2-1200-222-2-111-2−3−333-10-111−2i2i0000−3300−3−333−3−3332-2-11-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32-2−2i2i000000−i3i3-11−33i−i0000000000
χ4822-2-2-1200-222-2-111-2−3−333-10-111−2i2i0000−3300−3−333−3−3332-2-11-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-222i−2i000000i3−i31-13−3−ii0000000000
χ4944444-244-4-4-2-2444-24444-2-4-2-2-2000022-4-4-2-2-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-2444-2-4-4-4-4-24-2-2-20000-2-244222222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000000
χ514444-2444-4-444-2-2-24-2-2-2-2-2-4-2-2-20000-4-42244-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-444-2-2-242222-24-2-2-2000044-2-2-4-42222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-411100002222-2-21111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-411100002222-2-21111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-222221-411144-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-222221-4111-4-444222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-22222141110000-2-2-2-222-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-22222141110000-2-2-2-222-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000000000
χ6144-4-444004-44-44-4-4-40000404-4-4000000000000000000-44-44-4-444000000000000000000000000000000000000000000000000000000000000
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χ6444-4-44-200-44-224-4-420000-20-2224i−4i0000000000000000-224-4-2-2224i4i−4i−4i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ6544-4-44-200-44-224-4-420000-20-222−4i4i0000000000000000-224-4-2-222−4i−4i4i4i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ6644-4-4-24004-44-4-222-42323−23−23-20-222000000−2323002323−23−23−23−232323-442-222-2-2000000000000000000000000000000000000000000000000000000000000
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χ6944-4-4-2-2004-4-22-22222323−23−23101-1-1000000−232300−3−33333−3−32-22-2-1-11100000000-3-33333-3-30000−23−23232333−3−3−3−3330000000000000000000000000000
χ7044-4-4-2-2004-4-22-2222−23−232323101-1-100000023−230033−3−3−3−3332-22-2-1-1110000000033-3-3-3-3330000−23−23232333−3−3−3−3330000000000000000000000000000
χ7144-4-4-2-2004-4-22-2222−23−232323101-1-100000023−230033−3−3−3−3332-22-2-1-11100000000-3-33333-3-300002323−23−23−3−33333−3−30000000000000000000000000000
χ7244-4-4-2-200-44-22-22222323−23−23101-1-14i−4i000023−2300−3−333−3−333-22-2211-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ7344-4-4-2-200-44-22-22222323−23−23101-1-1−4i4i000023−2300−3−333−3−333-22-2211-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii2i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ7444-4-4-2-200-44-22-2222−23−232323101-1-14i−4i0000−23230033−3−333−3−3-22-2211-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i2i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ7544-4-4-2-200-44-22-2222−23−232323101-1-1−4i4i0000−23230033−3−333−3−3-22-2211-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ764-44-4440000-44-44-4-4000040-44-400−2i22i200000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000
χ774-44-4440000-44-44-4-4000040-44-4002i2−2i2000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.