Finite Group Databasebeta

← Group #11787545

Character table — Group #11787545

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222223344446666666666666636666666121212121212121244442266666666666666661212121244444488881212121212121212242424242424242444121212121212121222228888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ9111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-111-1-1i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−iii−i−i11-1-111-1-1
χ10111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1ii−i−i1-11111-1-1-1-11111-1-1-1-111-1-1i−i−i−iii−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i−i−iii-1-111-1-111
χ11111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-1111111-1-1i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−ii−i−iiiii−i−i11-1-1-1-111
χ12111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1ii−i−i-11-1-1-1-11111-1-1-1-1111111-1-1i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii−i−iii-1-11111-1-1
χ13111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-111-1-1−iiii−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iiiii−i−i-1-111-1-111
χ14111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−iii1-11111-1-1-1-11111-1-1-1-111-1-1−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii−i−iii11-1-111-1-1
χ15111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-1111111-1-1−iiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiiii−iii−i−iii−i−i-1-11111-1-1
χ16111-11-1-1-1111-1-111111-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−iii-11-1-1-1-11111-1-1-1-1111111-1-1−ii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i−i−iii11-1-1-1-111
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22200000000-2-222-2-22200000000000000000000000000
χ19222222222-1222222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-122-1-12-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-1222222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-2-2-2-211-2-21111111111-1-1-1-12200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-1222222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ22222222222-1222222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-211-2-21111111111-1-1-1-1-2-200000000111111110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222220000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31111-2-200000000-1-111-1-1110000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222220000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i31111-2-200000000-1-111-1-1110000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-20000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i31111220000000011-1-111-1-10000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-222-1-1222-12-1-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-20000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i31111220000000011-1-111-1-10000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-122-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-122-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ2922222222-122222-1-122-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-211-2-211-2-211111111-1-1-1-1002222-2-2-2-20000000011111111000000-1-1-1-100000000
χ3022222222-122222-1-122-1-1-12-1222-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-211-2-211-2-211111111-1-1-1-100-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ31222-22-2-2-222-222-22222-2-2-2-222-2-2-2-2222-2-2-2-22-2-2-2-222222i2i−2i−2i000000000000000000-2-222−2i2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ32222-22-2-2-222-222-22222-2-2-2-222-2-2-2-2222-2-2-2-22-2-2-2-22222−2i−2i2i2i000000000000000000-2-2222i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ33222-22-2-2-22-12-2-2222-1-1-2-2-212-111-21-1-1-11111-122-1-1-211-22i2i−2i−2i2-222-1-1-2-211-1-1-1-11111-1-1112i−2i00000000−i−i−i−iiiii000000002i−2i−i−iii000000000000
χ34222-22-2-2-22-12-2-2222-1-1-2-2-212-111-21-1-1-11111-122-1-1-211-22i2i−2i−2i-22-2-21122-1-11111-1-1-1-1-1-1112i−2i00000000−i−i−i−iiiii00000000−2i2iii−i−i000000000000
χ35222-22-2-2-22-12-2-2222-1-1-2-2-212-111-21-1-1-11111-122-1-1-211-2−2i−2i2i2i2-222-1-1-2-211-1-1-1-11111-1-111−2i2i00000000iiii−i−i−i−i00000000−2i2iii−i−i000000000000
χ36222-22-2-2-22-12-2-2222-1-1-2-2-212-111-21-1-1-11111-122-1-1-211-2−2i−2i2i2i-22-2-21122-1-11111-1-1-1-1-1-111−2i2i00000000iiii−i−i−i−i000000002i−2i−i−iii000000000000
χ37222-22-2-2-22-1-222-222-1-1-2-2-212-111-21-1-1-11111-1-2-2112-1-122i2i−2i−2i0000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-1−2i2i00000000−i−iiiii−i−i00000000003−3−33000000000000
χ38222-22-2-2-22-1-222-222-1-1-2-2-212-111-21-1-1-11111-1-2-2112-1-122i2i−2i−2i0000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-1−2i2i00000000−i−iiiii−i−i0000000000−333−3000000000000
χ39222-22-2-2-22-1-222-222-1-1-2-2-212-111-21-1-1-11111-1-2-2112-1-12−2i−2i2i2i0000−i3i300i3−i3−i3−i3i3i3i3i3−i3−i311-1-12i−2i00000000ii−i−i−i−iii0000000000−333−3000000000000
χ40222-22-2-2-22-1-222-222-1-1-2-2-212-111-21-1-1-11111-1-2-2112-1-12−2i−2i2i2i0000i3−i300−i3i3i3i3−i3−i3−i3−i3i3i311-1-12i−2i00000000ii−i−i−i−iii00000000003−3−33000000000000
χ41222-22-2-2-2-122-2-22-1-122111-2-12-2-21-2-1-1-11111-1-1-1221-2-2100002-2-1-12211-2-2-1-1-1-11111-1-111002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii000000−i−iii00000000
χ42222-22-2-2-2-122-2-22-1-122111-2-12-2-21-2-1-1-11111-1-1-1221-2-2100002-2-1-12211-2-2-1-1-1-11111-1-11100−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−i000000ii−i−i00000000
χ43222-22-2-2-2-122-2-22-1-122111-2-12-2-21-2-1-1-11111-1-1-1221-2-210000-2211-2-2-1-1221111-1-1-1-1-1-111002i2i−2i−2i−2i−2i2i2i00000000iiii−i−i−i−i000000−i−iii00000000
χ44222-22-2-2-2-122-2-22-1-122111-2-12-2-21-2-1-1-11111-1-1-1221-2-210000-2211-2-2-1-1221111-1-1-1-1-1-11100−2i−2i2i2i2i2i−2i−2i00000000−i−i−i−iiiii000000ii−i−i00000000
χ4522-22-22-2-22200002-22-222-22-2-22-2-2-222-222-2-2-2000000002i−2i2i−2i0000000000000000000000000000−i2i2−i2i22i−2i002i−2i00−i2−i2i2i2−i2−i2i2i2000000000000002−22−2
χ4622-22-22-2-22200002-22-222-22-2-22-2-2-222-222-2-2-2000000002i−2i2i−2i0000000000000000000000000000i2−i2i2−i22i−2i002i−2i00i2i2−i2−i2i2i2−i2−i200000000000000−22−22
χ4722-22-22-2-22200002-22-222-22-2-22-2-2-222-222-2-2-200000000−2i2i−2i2i0000000000000000000000000000−i2i2−i2i2−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i200000000000000−22−22
χ4822-22-22-2-22200002-22-222-22-2-22-2-2-222-222-2-2-200000000−2i2i−2i2i0000000000000000000000000000i2−i2i2−i2−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i2000000000000002−22−2
χ4922-2-2-2-2222200002-22-2-2-22-2-2-2-222222-2-2-222-2000000002-2-2200000000000000000000000000002−2−222-200-220022−2−2−2−22200000000000000−222−2
χ5022-2-2-2-2222200002-22-2-2-22-2-2-2-222222-2-2-222-2000000002-2-220000000000000000000000000000−222−22-200-2200−2−22222−2−2000000000000002−2−22
χ5122-2-2-2-2222200002-22-2-2-22-2-2-2-222222-2-2-222-200000000-222-200000000000000000000000000002−2−22-22002-20022−2−2−2−222000000000000002−2−22
χ5222-2-2-2-2222200002-22-2-2-22-2-2-2-222222-2-2-222-200000000-222-20000000000000000000000000000−222−2-22002-200−2−22222−2−200000000000000−222−2
χ532-2-222-22-22222-2-2-2-2-2-22-22222-2-2-222-2-22-22-222-22-222-2-200000000000000000000002-22-2002i−2i2i−2i000000000000000000000000002i−2i2i−2i00000000
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χ552-2-222-22-222-2-222-2-2-2-22-22222-2-2-222-2-22-22-22-22-22-2-2220000000000000000000000-22-220000000000000000000000000000000000002-22-20000
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χ682-2-2-222-22-122-22-211-2-21-11-2-1222-1-2-1111-11-1-1-112-21-22-1000000i3−i300−i3i300i3−i3i3−i3−i3i3−i3i3-111-100-222-2000000000000−i3i3−i3i3i3−i3i3−i30000001-1-1100000000
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χ7244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111112222222200000000−2i32i300−2i32i3i3i3−i3−i3i3i3−i3−i3-1-1-1-100000000000000000000000000000000000000000000
χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222000000002i3−2i3002i3−2i3−i3−i3i3i3−i3−i3i3i3-1-1-1-100000000000000000000000000000000000000000000
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χ76444-44-4-4-4-2-24-4-44-2-2-2-22222-2-22222111-1-1-1-11-2-2-2-222220000-442222-2-2-2-2-1-1-1-1111111-1-100000000000000000000000000000000000000000000
χ77444-44-4-4-4-2-2-444-4-2-2-2-22222-2-22222111-1-1-1-112222-2-2-2-200000000−2i32i3002i3−2i3i3i3−i3−i3−i3−i3i3i3-1-11100000000000000000000000000000000000000000000
χ78444-44-4-4-4-2-2-444-4-2-2-2-22222-2-22222111-1-1-1-112222-2-2-2-2000000002i3−2i300−2i32i3−i3−i3i3i3i3i3−i3−i3-1-11100000000000000000000000000000000000000000000
χ7944-44-44-4-44-200004-4-2244-4-2-42-22-42-2-22-2-2222000000004i−4i4i−4i00000000000000000000000000000000−2i2i00−2i2i0000000000000000000000000000
χ8044-44-44-4-44-200004-4-2244-4-2-42-22-42-2-22-2-222200000000−4i4i−4i4i000000000000000000000000000000002i−2i002i−2i0000000000000000000000000000
χ8144-44-44-4-4-240000-224-4-2-2242-44-42-4-2-22-2-22220000000000000000000000000000000000000000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i2000000000000000000
χ8244-44-44-4-4-240000-224-4-2-2242-44-42-4-2-22-2-222200000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i2000000000000000000
χ8344-4-4-4-4444-200004-4-22-4-442-422-24-2-2-2222-2-22000000004-4-4400000000000000000000000000000000-22002-20000000000000000000000000000
χ8444-4-4-4-4444-200004-4-22-4-442-422-24-2-2-2222-2-2200000000-444-4000000000000000000000000000000002-200-220000000000000000000000000000
χ8544-4-4-4-444-240000-224-422-2-42-4-44-24-2-2222-2-22000000000000000000000000000000000000000022−22−222200000000−2−22222−2−2000000000000000000
χ8644-4-4-4-444-240000-224-422-2-42-4-44-24-2-2222-2-220000000000000000000000000000000000000000−222222−220000000022−2−2−2−222000000000000000000
χ874-444-4-4-44440000-44-444-4-44-4-4-444-44-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ884-444-4-4-444-20000-442-24-4-4-2-422-242-22-2-222-22000000000000000000000000000000000000000000000023−230023−2300000000000000000000000000
χ894-444-4-4-444-20000-442-24-4-4-2-422-242-22-2-222-220000000000000000000000000000000000000000000000−232300−232300000000000000000000000000
χ904-444-4-4-44-2400002-2-44-22242-4-44-2-4-22-2-222-220000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ914-444-4-4-44-2400002-2-44-22242-4-44-2-4-22-2-222-220000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ924-44-4-444-4440000-44-44-444-4-4-44-4-444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-444-44-20000-442-2-4442-42-22-4-2-22-22-2-2220000000000000000000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000000
χ944-44-4-444-44-20000-442-2-4442-42-22-4-2-22-22-2-22200000000000000000000000000000000000000000000002i3−2i300−2i32i300000000000000000000000000
χ954-44-4-444-4-2400002-2-442-2-2-42-44-424-22-22-2-22200000000000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ964-44-4-444-4-2400002-2-442-2-2-42-44-424-22-22-2-2220000000000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ974-4-444-44-44-244-4-4-4-4224-44-24-222-4-2-222-22-22-24-4-224-22-40000000000000000000000-22-2200000000000000000000000000000000000000000000
χ984-4-444-44-44-2-4-444-4-4224-44-24-222-4-2-222-22-22-2-442-2-42-2400000000000000000000002-22-200000000000000000000000000000000000000000000
χ994-4-444-44-4-24-4-44422-4-4-22-24-24-4-424-222-22-22-22-2-442-44-200000000000000000000002-22-200000000000000000000000000000000000000000000
χ1004-4-444-44-4-2-244-4-42222-22-2-2-2-2222-21-1-11-11-11-22-22-2-222000000−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i31-11-100000000000000000000000000000000000000000000
χ1014-4-444-44-4-2-244-4-42222-22-2-2-2-2222-21-1-11-11-11-22-22-2-2220000002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i31-11-100000000000000000000000000000000000000000000
χ1024-4-444-44-4-2-2-4-4442222-22-2-2-2-2222-21-1-11-11-112-22-222-2-2000000000000003-3-333-3-33-11-1100000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-2-4-4442222-22-2-2-2-2222-21-1-11-11-112-22-222-2-200000000000000-333-3-333-3-11-1100000000000000000000000000000000000000000000
χ1044-4-4-444-444-24-44-4-4-422-44-424-2-2-242-2222-22-2-24-4-22-42-240000000000000000000000-222-200000000000000000000000000000000000000000000
χ1054-4-4-444-444-2-44-44-4-422-44-424-2-2-242-2222-22-2-2-442-24-22-400000000000000000000002-2-2200000000000000000000000000000000000000000000
χ1064-4-4-444-44-24-44-4422-4-42-22-4-2444-2-4-2222-22-2-22-2-44-24-4200000000000000000000002-2-2200000000000000000000000000000000000000000000
χ1074-4-4-444-44-2-24-44-422222-222-2-2-2-2-221-1-1-11-111-22-2222-2-2000000−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i31-1-1100000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-24-44-422222-222-2-2-2-2-221-1-1-11-111-22-2222-2-20000002i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i31-1-1100000000000000000000000000000000000000000000
χ1094-4-4-444-44-2-2-44-4422222-222-2-2-2-2-221-1-1-11-1112-22-2-2-222000000000000003-3-33-333-3-111-100000000000000000000000000000000000000000000
χ1104-4-4-444-44-2-2-44-4422222-222-2-2-2-2-221-1-1-11-1112-22-2-2-22200000000000000-333-33-3-33-111-100000000000000000000000000000000000000000000
χ11188-88-88-8-8-4-40000-44-44-4-44-444-444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-888-4-40000-44-4444-44444-4-4-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-400004-44-4-444-4444-4-442-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-888-8-4-400004-44-44-4-4444-444-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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