Finite Group Databasebeta

← Group #11791370

Character table — Group #11791370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212128888668812122424242424242424242424242424242444448824242424242424244488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-1111-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i1-11111-1-1-1-11-1i−iii−i−i11-1-1ii−i−iii−i−i1-1
χ101-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-1111-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii1-11111-1-1-1-1-11i−i−i−iii-1-111ii−i−i−i−iii-11
χ111-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-1111-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i1-11111-1-1-1-1-11−iiii−i−i-1-111−i−iiiii−i−i-11
χ121-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-1111-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii1-11111-1-1-1-11-1−ii−i−iii11-1-1−i−iii−i−iii1-1
χ131-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-11-1-1111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−iii−i−i-11-1-1-1-111111-1−iiii−i−i11-1-1−i−iii−i−iii-11
χ141-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-11-1-1111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−i−iii-11-1-1-1-11111-11−ii−i−iii-1-111−i−iiiii−i−i1-1
χ151-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-11-1-1111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiiiii−i−i-11-1-1-1-11111-11i−iii−i−i-1-111ii−i−i−i−iii1-1
χ161-1-111-11111-1-1-1-11-1-1111-1-1111-1-1-1-11-111-111-1-1-11-1-1111-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii−i−iii-11-1-1-1-111111-1i−i−i−iii11-1-1ii−i−iii−i−i-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-1-1-1-1-10000000000
χ202222222-12222222-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111111110000000000
χ212222222-12222222-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-200-1-1-1-111110000000000
χ222222222-12222222-1-1-12222-12-12-1-1-1-12-1-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022001111-1-1-1-10000000000
χ23222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-1-1222-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1002200000000-1-1-1-1000000
χ24222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-1-1222-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000000001111000000
χ25222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000000001111000000
χ26222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-1-1222-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111002200000000-1-1-1-1000000
χ272222-2-2222-22-222222222222-2-2-2-2222-22-2-222222-20000-2-200-2-200000000000000002-22-2000000000000002-22-200000000000000
χ282222-2-2222-22-222222222222-2-2-2-2222-22-2-222222-20000-2-200-2-20000000000000000-22-2200000000000000-22-2200000000000000
χ292222-2-222-22-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-222222-2-2002200000000000000000000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-22-22222222-2-2-2-22-2-2-2-22222-222-2-2-2-2-22-2-2-2-2-2-200220000000000000000000022-2-222-2-2220000000000000000000000
χ312222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-1-2-111-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i32-22-200000000000000-11-11−i3i3−i3i30000000000
χ322222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-1-2-111-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-22-22000000000000001-11-1i3−i3i3−i30000000000
χ332222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-1-2-111-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i32-22-200000000000000-11-11i3−i3i3−i30000000000
χ342222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-1-2-111-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-22-22000000000000001-11-1−i3i3−i3i30000000000
χ352222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-1-1-22211-211-122221100-1-13−33−3003−33−3003−33−30000-2-2-1-111-1-1110000000000003−33−3000000
χ362222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-1-1-22211-211-122221100-1-1−33−3300−33−3300−33−330000-2-2-1-111-1-111000000000000−33−33000000
χ372222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-1-1-22211-211-1-2-2-2-21100-1-13−33−3003−33−3003−33−300002211-1-111-1-1000000000000−33−33000000
χ382222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-1-1-22211-211-1-2-2-2-21100-1-1−33−3300−33−3300−33−3300002211-1-111-1-10000000000003−33−3000000
χ392-2-222-222-2-222-2-22-2-22-2-222222-2-2-2-222-2-22-2-2222-200002-200-2200000000000000000000000000000000000000000000002-2-2200
χ402-2-222-222-2-222-2-22-2-22-2-222222-2-2-2-222-2-22-2-2222-200002-200-220000000000000000000000000000000000000000000000-222-200
χ412-2-222-22-122-2-2-2-2211-122-2-2-12-1-2111-1-2-1-11-1-111120000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii2i2i−2i−2i00000000002-200−i−iii-1-1110000000000
χ422-2-222-22-122-2-2-2-2211-122-2-2-12-1-2111-1-2-1-11-1-111120000-112i−2i-112i2i−2i−2i−i−i−i−i−i−iiiiiii−2i−2i2i2i0000000000-2200ii−i−i11-1-10000000000
χ432-2-222-22-122-2-2-2-2211-122-2-2-12-1-2111-1-2-1-11-1-111120000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i2i2i−2i−2i0000000000-2200−i−iii11-1-10000000000
χ442-2-222-22-122-2-2-2-2211-122-2-2-12-1-2111-1-2-1-11-1-111120000-11−2i2i-11−2i−2i2i2iiiiiii−i−i−i−i−i−i−2i−2i2i2i00000000002-200ii−i−i-1-1110000000000
χ452-2-222-2-1222-2-211-1-2-22-1-111-1-121-211-1122-2-1-1-211-122-2-2-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii00002-2-1-1-1-11111002i−2i00000000−i−iii000000
χ462-2-222-2-1222-2-211-1-2-22-1-111-1-121-211-1122-2-1-1-211-122-2-2-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i00002-2-1-1-1-1111100−2i2i00000000ii−i−i000000
χ472-2-222-2-1222-2-211-1-2-22-1-111-1-121-211-1122-2-1-1-211-1-2-222-112i−2i-11−i−iii2i2i−i−i−i−i−2i−2iiiii0000-221111-1-1-1-100−2i2i00000000ii−i−i000000
χ482-2-222-2-1222-2-211-1-2-22-1-111-1-121-211-1122-2-1-1-211-1-2-222-11−2i2i-11ii−i−i−2i−2iiiii2i2i−i−i−i−i0000-221111-1-1-1-1002i−2i00000000−i−iii000000
χ492-2-22-22222-2-22-2-22-2-2222-2-22-2-222-2-2222-2222-2-2-2-20000-2200-2200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ502-2-22-22222-2-22-2-22-2-2222-2-22-2-222-2-2222-2222-2-2-2-20000-2200-220000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ512-2-22-2222-222-2-2-22-2-22-2-2222-2-222-2-22-2-22-2-2-2222222-2-2-22002-200000000000000000000-2222-2-2-2-2220000000000000000000000
χ522-2-22-2222-222-2-2-22-2-22-2-2222-2-222-2-22-2-22-2-2-22222-2-222-22002-2000000000000000000002-2-2-22222-2-20000000000000000000000
χ532-2-22-222-12-2-22-2-2211-122-2-2-1-212-111-12-11-1-1-1111-200001-1001-100003−333−3−3−33−3−3332i−2i−2i2i00000000000000−iii−i−i3i3i3−i30000000000
χ542-2-22-222-12-2-22-2-2211-122-2-2-1-212-111-12-11-1-1-1111-200001-1001-100003−333−3−3−33−3−333−2i2i2i−2i00000000000000i−i−iii3−i3−i3i30000000000
χ552-2-22-222-12-2-22-2-2211-122-2-2-1-212-111-12-11-1-1-1111-200001-1001-10000−33−3−3333−333−3−32i−2i−2i2i00000000000000−iii−ii3−i3−i3i30000000000
χ562-2-22-222-12-2-22-2-2211-122-2-2-1-212-111-12-11-1-1-1111-200001-1001-10000−33−3−3333−333−3−3−2i2i2i−2i00000000000000i−i−ii−i3i3i3−i30000000000
χ572-2-22-22-12-222-211-1-2-2211-1-1-11-2-1211-11-22-2112-1-1-122-2-21-100-11−i3i3i3−i300−i3i3−i3i300i3−i3i3−i30000-22-1-11111-1-1000000000000−i3i3i3−i3000000
χ582-2-22-22-12-222-211-1-2-2211-1-1-11-2-1211-11-22-2112-1-1-122-2-21-100-11i3−i3−i3i300i3−i3i3−i300−i3i3−i3i30000-22-1-11111-1-1000000000000i3−i3−i3i3000000
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χ66444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-1200001100-1-1000000−3i3i3i−3i00−3i3i3i−3i000000000000000000000000000000000000
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χ954-4-44-44-2-2-444-422-222-222-2-2122-2-2-1-1122-22-1-1-211-20000-11001-1−2i32i32i3−2i300i3−i3i3−i300−i3i3−i3i3000000000000000000000000000000000000
χ964-4-44-44-2-2-444-422-222-222-2-2122-2-2-1-1122-22-1-1-211-20000-11001-12i3−2i3−2i32i300−i3i3−i3i300i3−i3i3−i3000000000000000000000000000000000000
χ9788-8-8008-400008-8-8-4440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-88-84-440000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-444-4443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-444-44−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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