Finite Group Databasebeta

← Group #11788720

Character table — Group #11788720

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222244444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222334444661212121236666666668888121212121212121212122424242424242424661212242424242424242424242424224466668888121212122424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
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χ10111-1-11111-1-11111-1-11-11-1-1-1-111-1ii−i−i1-111-111-1-1-1iiii−i−i−i−i1-11-1iiiiii−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii
χ11111-1-11111-1-11111-1-11-11-1-1-1-111-1ii−i−i1-111-111-1-1-1iiii−i−i−i−i1-11-1iiiiii−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii
χ12111-1-11111-1-11111-1-11-11-1-1-1-111-1ii−i−i1-111-111-1-1-1iiii−i−i−i−i1-11-1iiiiii−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-11−ii-1-111−i−iii1-1i−i
χ13111-1-11111-1-11111-1-11-11-1-1-1-111-1−i−iii1-111-111-1-1-1−i−i−i−iiiii1-11-1−i−i−i−i−i−iiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii
χ14111-1-11111-1-11111-1-11-11-1-1-1-111-1−i−iii1-111-111-1-1-1−i−i−i−iiiii1-11-1−i−i−i−i−i−iiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-11i−i
χ15111-1-11111-1-11111-1-11-11-1-1-1-111-1−i−iii1-111-111-1-1-1−i−i−i−iiiii1-11-1−i−i−i−i−i−iiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i1-1−ii11-1-1−i−iii-11i−i
χ16111-1-11111-1-11111-1-11-11-1-1-1-111-1−i−iii1-111-111-1-1-1−i−i−i−iiiii1-11-1−i−i−i−i−i−iiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-11i−i-1-111ii−i−i1-1−ii
χ172222222-2-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000002-22-222-2-2000022-2-2000000000000000000000000
χ182222222-2-2-2-222-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000-22-22-2-2220000-2-222000000000000000000000000
χ19222222-122222-122-1-1-12-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-122222-122-1-1-12-1-1-1-1-1-122222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ21222222-122222-122-1-1-12-1-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-111111111-1-1-1-1-2-21111-2-211112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ22222222-122222-122-1-1-12-1-1-1-1-1-122-2-2-2-222-1-1-1-1-12-1-111111111-1-1-1-1-2-21111-2-21111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ23222222-1-2-2-2-22-1-2-211-12-1-1-1-1-1-1220000-2-211111-21133−3−333−3−3-1-1110033−3−30033−3−32-22-2-1-1110000-1-11133−3−333−3−30000000000000000
χ24222222-1-2-2-2-22-1-2-211-12-1-1-1-1-1-1220000-2-211111-21133−3−333−3−3-1-1110033−3−30033−3−3-22-2211-1-1000011-1-1−3−333−3−3330000000000000000
χ25222222-1-2-2-2-22-1-2-211-12-1-1-1-1-1-1220000-2-211111-211−3−333−3−333-1-11100−3−33300−3−3332-22-2-1-1110000-1-111−3−333−3−3330000000000000000
χ26222222-1-2-2-2-22-1-2-211-12-1-1-1-1-1-1220000-2-211111-211−3−333−3−333-1-11100−3−33300−3−333-22-2211-1-1000011-1-133−3−333−3−30000000000000000
χ2722222-122222-12-1-122-1-1222-1-1-1-1-12222-1-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2822222-122222-12-1-122-1-1222-1-1-1-1-12222-1-1222-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2922222-122222-12-1-122-1-1222-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ3022222-122222-12-1-122-1-1222-1-1-1-1-1-2-2-2-2-1-1222-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ31222-2-222-2-22222-2-2222-22-2-2-2-222-20000-22-2-22-2-2222000000002-2-220000000000002-2-2222-2-20000-2-222000000000000000000000000
χ32222-2-222-2-22222-2-2222-22-2-2-2-222-20000-22-2-22-2-2222000000002-2-22000000000000-222-2-2-222000022-2-2000000000000000000000000
χ33222-2-22-122-2-22-12211-1-2-11111-12-22i2i−2i−2i2-2-1-11-1-1-211−i−i−i−iiiii-11-112i2i−i−i−i−i−2i−2iiiii22-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii0000000000000000
χ34222-2-22-122-2-22-12211-1-2-11111-12-22i2i−2i−2i2-2-1-11-1-1-211−i−i−i−iiiii-11-112i2i−i−i−i−i−2i−2iiiii-2-2221111−2i−2i2i2i-1-1-1-1iiii−i−i−i−i0000000000000000
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χ36222-2-22-122-2-22-12211-1-2-11111-12-2−2i−2i2i2i2-2-1-11-1-1-211iiii−i−i−i−i-11-11−2i−2iiiii2i2i−i−i−i−i-2-22211112i2i−2i−2i-1-1-1-1−i−i−i−iiiii0000000000000000
χ37222-2-22-1-2-2222-1-2-2-1-1-1-2-11111-12-20000-2211-1112-1-1−i3−i3i3i3i3i3−i3−i3-111-100−i3−i3i3i300i3i3−i3−i32-2-22-1-111000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ38222-2-22-1-2-2222-1-2-2-1-1-1-2-11111-12-20000-2211-1112-1-1−i3−i3i3i3i3i3−i3−i3-111-100−i3−i3i3i300i3i3−i3−i3-222-211-1-10000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ39222-2-22-1-2-2222-1-2-2-1-1-1-2-11111-12-20000-2211-1112-1-1i3i3−i3−i3−i3−i3i3i3-111-100i3i3−i3−i300−i3−i3i3i32-2-22-1-111000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
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χ41222-2-2-1222-2-2-12-1-1-2-2-112-2-211-1-112i2i−2i−2i-1122-2-1-11112i2i2i2i−2i−2i−2i−2i-11-11−i−i−i−i−i−iiiiiii0000000000000000000000002-22i−2i-1-111−i−iii0000
χ42222-2-2-1222-2-2-12-1-1-2-2-112-2-211-1-112i2i−2i−2i-1122-2-1-11112i2i2i2i−2i−2i−2i−2i-11-11−i−i−i−i−i−iiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i0000
χ43222-2-2-1222-2-2-12-1-1-2-2-112-2-211-1-11−2i−2i2i2i-1122-2-1-1111−2i−2i−2i−2i2i2i2i2i-11-11iiiiii−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i0000
χ44222-2-2-1222-2-2-12-1-1-2-2-112-2-211-1-11−2i−2i2i2i-1122-2-1-1111−2i−2i−2i−2i2i2i2i2i-11-11iiiiii−i−i−i−i−i−i000000000000000000000000-222i−2i11-1-1−i−iii0000
χ4522-22-2222-22-22222-2-22-2-22-2-2-22-222i−2i2i−2i-222-2222-2-2-22i−2i2i−2i2i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ4622-22-2222-22-22222-2-22-2-22-2-2-22-22−2i2i−2i2i-222-2222-2-2-2−2i2i−2i2i−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ4722-22-222-22-2222-2-2222-2-22-2-2-22-2200002-2-22-2-2-222200000000-222-2000000000000000000002-22-200002-22-22-22-20000000000000000
χ4822-22-222-22-2222-2-2222-2-22-2-2-22-2200002-2-22-2-2-222200000000-222-200000000000000000000-22-220000-22-22-22-220000000000000000
χ4922-22-22-12-22-22-12211-1-21-1111-1-222i−2i2i−2i-22-11-1-1-1-211−ii−ii−ii−ii1-11-12i−2i−ii−ii2i−2i−ii−ii0000−i3i3−i3i30000−i3i3−i3i33−3−333−3−330000000000000000
χ5022-22-22-12-22-22-12211-1-21-1111-1-222i−2i2i−2i-22-11-1-1-1-211−ii−ii−ii−ii1-11-12i−2i−ii−ii2i−2i−ii−ii0000i3−i3i3−i30000i3−i3i3−i3−333−3−333−30000000000000000
χ5122-22-22-12-22-22-12211-1-21-1111-1-22−2i2i−2i2i-22-11-1-1-1-211i−ii−ii−ii−i1-11-1−2i2ii−ii−i−2i2ii−ii−i0000−i3i3−i3i30000−i3i3−i3i3−333−3−333−30000000000000000
χ5222-22-22-12-22-22-12211-1-21-1111-1-22−2i2i−2i2i-22-11-1-1-1-211i−ii−ii−ii−i1-11-1−2i2ii−ii−i−2i2ii−ii−i0000i3−i3i3−i30000i3−i3i3−i33−3−333−3−330000000000000000
χ5322-22-22-1-22-222-1-2-2-1-1-1-21-1111-1-2200002-21-11112-1-1−i3i3i3−i3−i3i3i3−i31-1-1100−i3i3i3−i300−i3i3i3−i30000−i3i3i3−i32-22-2−i3i3i3−i3-11-11-11-110000000000000000
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χ5922-22-2-122-22-2-12-1-1-2-2-11-22-211-11-1−2i2i−2i2i1-12-22-1-1111−2i2i−2i2i−2i2i−2i2i1-11-1i−ii−ii−ii−ii−ii−i00000000000000000000000000003−33−3i3−i3i3−i30000
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χ6122-2-22222-2-2222222222-2-22222-2-22-2-22-2-22-2-2222222-22-2-22-22-2-2-2-22-22-22-2-22-22-220000000000000000000000000000000000000000
χ6222-2-22222-2-2222222222-2-22222-2-2-222-2-2-22-2-222222-22-222-22-2-2-2-2-2-22-22-222-22-22-20000000000000000000000000000000000000000
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χ6522-2-222-12-2-222-122-1-1-1211-1-1-1-1-2-22-2-22-2-2-111-1-12-1-1-11-111-11-111112-2-11-11-221-11-10000−i3i3−i3i30000i3−i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ6622-2-222-12-2-222-122-1-1-1211-1-1-1-1-2-22-2-22-2-2-111-1-12-1-1-11-111-11-111112-2-11-11-221-11-10000i3−i3i3−i30000−i3i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ6722-2-222-12-2-222-122-1-1-1211-1-1-1-1-2-2-222-2-2-2-111-1-12-1-11-11-1-11-111111-221-11-12-2-11-110000−i3i3−i3i30000i3−i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ6822-2-222-12-2-222-122-1-1-1211-1-1-1-1-2-2-222-2-2-2-111-1-12-1-11-11-1-11-111111-221-11-12-2-11-110000i3−i3i3−i30000−i3i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ6922-2-222-1-222-22-1-2-211-1211-1-1-1-1-2-20000221-1-111-2113−3−33−333−311-1-1003−3−3300−333−30000−i3i3i3−i32i−2i−2i2ii3−i3−i3i3−ii−iii−ii−i0000000000000000
χ7022-2-222-1-222-22-1-2-211-1211-1-1-1-1-2-20000221-1-111-2113−3−33−333−311-1-1003−3−3300−333−30000i3−i3−i3i3−2i2i2i−2i−i3i3i3−i3i−ii−i−ii−ii0000000000000000
χ7122-2-222-1-222-22-1-2-211-1211-1-1-1-1-2-20000221-1-111-211−333−33−3−3311-1-100−333−3003−3−330000−i3i3i3−i3−2i2i2i−2ii3−i3−i3i3i−ii−i−ii−ii0000000000000000
χ7222-2-222-1-222-22-1-2-211-1211-1-1-1-1-2-20000221-1-111-211−333−33−3−3311-1-100−333−3003−3−330000i3−i3−i3i32i−2i−2i2i−i3i3i3−i3−ii−iii−ii−i0000000000000000
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χ7422-2-22-122-2-22-12-1-122-1-1-2-22-1-1-1112-2-22112-2-2-1-1-1-1-12-22-2-22-221111-11-11-111-11-11-10000000000000000000000000000−333−33−3−330000
χ7522-2-22-122-2-22-12-1-122-1-1-2-22-1-1-111-222-2112-2-2-1-1-1-1-1-22-222-22-211111-11-11-1-11-11-1100000000000000000000000000003−3−333−3−330000
χ7622-2-22-122-2-22-12-1-122-1-1-2-22-1-1-111-222-2112-2-2-1-1-1-1-1-22-222-22-211111-11-11-1-11-11-110000000000000000000000000000−333−3−333−30000
χ7744444-24-4-4-4-4-2422-4-4-2-2444-2-2-2-2-2000022-4-4-42222200000000-2-2220000000000000000000000000000000000000000000000000000
χ7844444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-24444-2-2-2-2-211-211-2-2-2-2-2-2-2-21111-2-21111-2-211110000000000000000000000000000000000000000
χ7944444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-4-4-4-4-2-2-2-2-211-21122222222111122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ8044444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-2000022222-1-12-1-12323−23−232323−23−2311-1-100−3−33300−3−3330000000000000000000000000000000000000000
χ8144444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-2000022222-1-12-1-1−23−232323−23−23232311-1-10033−3−30033−3−30000000000000000000000000000000000000000
χ82444-4-4-24-4-444-242244-224-4-422-2-2200002-2-4-4422-2-2-200000000-222-20000000000000000000000000000000000000000000000000000
χ83444-4-4-2-244-4-4-2-2-2-22212-222-1-11-224i4i−4i−4i-22-2-22112-1-1−2i−2i−2i−2i2i2i2i2i1-11-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ84444-4-4-2-244-4-4-2-2-2-22212-222-1-11-22−4i−4i4i4i-22-2-22112-1-12i2i2i2i−2i−2i−2i−2i1-11-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ85444-4-4-2-2-4-444-2-222-2-212-222-1-11-2200002-222-2-1-1-211−2i3−2i32i32i32i32i3−2i3−2i31-1-1100i3i3−i3−i300−i3−i3i3i30000000000000000000000000000000000000000
χ86444-4-4-2-2-4-444-2-222-2-212-222-1-11-2200002-222-2-1-1-2112i32i3−2i3−2i3−2i3−2i32i32i31-1-1100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000000000000000
χ8744-44-4-24-44-44-242244-22-44-422-22-20000-22-44-422-2-2-2000000002-2-220000000000000000000000000000000000000000000000000000
χ8844-44-4-2-24-44-4-2-2-2-222122-22-1-112-24i−4i4i−4i2-2-22-2112-1-1−2i2i−2i2i−2i2i−2i2i-11-11−2i2ii−ii−i−2i2ii−ii−i0000000000000000000000000000000000000000
χ8944-44-4-2-24-44-4-2-2-2-222122-22-1-112-2−4i4i−4i4i2-2-22-2112-1-12i−2i2i−2i2i−2i2i−2i-11-112i−2i−ii−ii2i−2i−ii−ii0000000000000000000000000000000000000000
χ9044-44-4-2-2-44-44-2-222-2-2122-22-1-112-20000-222-22-1-1-211−2i32i32i3−2i3−2i32i32i3−2i3-111-100i3−i3−i3i300i3−i3−i3i30000000000000000000000000000000000000000
χ9144-44-4-2-2-44-44-2-222-2-2122-22-1-112-20000-222-22-1-1-2112i3−2i3−2i32i32i3−2i3−2i32i3-111-100−i3i3i3−i300−i3i3i3−i30000000000000000000000000000000000000000
χ9244-4-44-24-444-4-2422-4-4-2-2-4-44-2-2-2220000-2-2-444222220000000022-2-20000000000000000000000000000000000000000000000000000
χ9344-4-44-2-24-4-44-2-2-2-2-2-21-222-2111224-4-4422-22211-211-22-222-22-2-1-1-1-1-221-11-12-2-11-110000000000000000000000000000000000000000
χ9444-4-44-2-24-4-44-2-2-2-2-2-21-222-211122-444-422-22211-2112-22-2-22-22-1-1-1-12-2-11-11-221-11-10000000000000000000000000000000000000000
χ9544-4-44-2-2-444-4-2-222221-222-2111220000-2-22-2-2-1-12-1-123−23−2323−232323−23-1-11100−333−3003−3−330000000000000000000000000000000000000000
χ9644-4-44-2-2-444-4-2-222221-222-2111220000-2-22-2-2-1-12-1-1−232323−2323−23−2323-1-111003−3−3300−333−30000000000000000000000000000000000000000
χ978-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-80008-40000-840043−43-400000040000000000000043−430000000000000000000000000000000000000000000000000000000000000000
χ998-80008-40000-8400−4343-4000000400000000000000−43430000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-4800004-843−4300-400000040000000000043−430000000000000000000000000000000000000000000000000000000000000000000
χ1018-8000-4800004-8−434300-4000000400000000000−43430000000000000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-400004443−4343−43200006-6-200000000000−23230−23230000000000000000000000000000000000000000000000000000000000000000
χ1038-8000-4-400004443−43−434320000-66-200000000000−2323023−230000000000000000000000000000000000000000000000000000000000000000
χ1048-8000-4-4000044−434343−4320000-66-20000000000023−230−23230000000000000000000000000000000000000000000000000000000000000000
χ1058-8000-4-4000044−4343−4343200006-6-20000000000023−23023−230000000000000000000000000000000000000000000000000000000000000000

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