Finite Group Databasebeta

← Group #11921017

Character table — Group #11921017

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222222222666688888888888888888888888888888888888888888888888812121212121212121212363636363636363672727272
order1222222234444666666612121212121212124444333666666666666666666666121212121212121212121212121212121212121212121212441212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ4111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ5111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−i11-1-1ii−i−iii−i−i11-1-1i−i1-1
χ6111-1-1-1-111ii−i−i11-1-1-11-1iiii−i−i−i−i1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−i11-1-1ii−i−i−i−iii-1-111−ii-11
χ7111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii11-1-1−i−iiiii−i−i-1-111i−i-11
χ8111-1-1-1-111−i−iii11-1-1-11-1−i−i−i−iiiii1-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii11-1-1−i−iii−i−iii11-1-1−ii1-1
χ922222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222000000000000
χ10222222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-22222-2-2-2-2000000000000
χ1122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ1222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ1322222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000
χ1422222222-1-2-2-2-2-1-1-1-1-1-1-11111111122222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-2-2-2-211111111-2-2-2-211111111-2-2-1-1-1-11111000000000000
χ1522222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-12-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-11111-2-2-2-211111111-2-2-2-21111-2-2-1-1-1-11111000000000000
χ1622222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1211111111-2-2-2-211111111-2-2-2-2-2-2-1-1-1-11111000000000000
χ17222-2-2-2-2222i2i−2i−2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i2-22-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii2i−2i22-2-22i2i−2i−2i000000000000
χ18222-2-2-2-222−2i−2i2i2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i2-22-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−2i2i22-2-2−2i−2i2i2i000000000000
χ19222-2-2-2-22-12i2i−2i−2i-1-1111-11−i−i−i−iiiii2-22-22-1-1222-1-1-1-1-1-1-2-2-2111111-2112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii2i−2i-1-111−i−iii000000000000
χ20222-2-2-2-22-12i2i−2i−2i-1-1111-11−i−i−i−iiiii2-22-2-12-1-1-1-1222-1-1-1111-2-2-21111-21−i−i−i−i2i2i2i2i−i−i−i−iiiii−2i−2i−2i−2iiiii2i−2i-1-111−i−iii000000000000
χ21222-2-2-2-22-12i2i−2i−2i-1-1111-11−i−i−i−iiiii2-22-2-1-12-1-1-1-1-1-1222111111-2-2-211-2−i−i−i−i−i−i−i−i2i2i2i2iiiiiiiii−2i−2i−2i−2i2i−2i-1-111−i−iii000000000000
χ22222-2-2-2-22-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i2-22-22-1-1222-1-1-1-1-1-1-2-2-2111111-211−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−2i2i-1-111ii−i−i000000000000
χ23222-2-2-2-22-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i2-22-2-12-1-1-1-1222-1-1-1111-2-2-21111-21iiii−2i−2i−2i−2iiiii−i−i−i−i2i2i2i2i−i−i−i−i−2i2i-1-111ii−i−i000000000000
χ24222-2-2-2-22-1−2i−2i2i2i-1-1111-11iiii−i−i−i−i2-22-2-1-12-1-1-1-1-1-1222111111-2-2-211-2iiiiiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−i2i2i2i2i−2i2i-1-111ii−i−i000000000000
χ2522-222-2-2-222-22-22-22-22-2-222-2-222-2-20000-1-1-111-111-111-111-111-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-100000000002−22−22−22−20000
χ2622-222-2-2-222-22-22-22-22-2-222-2-222-2-20000-1-1-111-111-111-111-111-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-10000000000−22−22−22−220000
χ2722-222-2-2-22-22-222-22-22-2-2-2-222-2-2220000-1-1-111-111-111-111-111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11100000000002−22−2−22−220000
χ2822-222-2-2-22-22-222-22-22-2-2-2-222-2-2220000-1-1-111-111-111-111-111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1110000000000−22−222−22−20000
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χ3022-2-2-222-222i−2i−2i2i2-2-22-2-222i2i−2i−2i−2i−2i2i2i0000-1-1-111-111-111-1-1-11-1-11-1-11111ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii0000000000i2−i2−i2i22−2−220000
χ3122-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i−2i2i2i2i2i−2i−2i0000-1-1-111-111-111-1-1-11-1-11-1-11111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i0000000000−i2i2i2−i22−2−220000
χ3222-2-2-222-22−2i2i2i−2i2-2-22-2-22−2i−2i2i2i2i2i−2i−2i0000-1-1-111-111-111-1-1-11-1-11-1-11111−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i0000000000i2−i2−i2i2−222−20000
χ332-2-22-2-22220000-2-222-22-200000000-2-2222222-2-22-2-22-2-22-222-222-22-2-2-2000000000000000000000000002-22-20000000000000000
χ342-2-22-2-22220000-2-222-22-200000000-2-222-1-1-1-111-111-111-11-1-11-1-11-11113−33−33−33−33−33−33−33−33−33−33−33−3002-22-20000000000000000
χ352-2-22-2-22220000-2-222-22-200000000-2-222-1-1-1-111-111-111-11-1-11-1-11-1111−33−33−33−33−33−33−33−33−33−33−33−33002-22-20000000000000000
χ362-2-22-2-222-1000011-1-11-113−33−33−33−3-2-2222-1-12-2-2-111-1112-22-11-1-11-1-21100003−33−3−33−3300003−33−3−33−3300-11-113−33−3000000000000
χ372-2-22-2-222-1000011-1-11-113−33−33−33−3-2-222-12-1-1112-2-2-111-11-12-22-11-11-21−33−3300003−33−3−33−3300003−33−300-11-113−33−3000000000000
χ382-2-22-2-222-1000011-1-11-113−33−33−33−3-2-222-1-12-111-1112-2-2-11-1-11-12-2211-23−33−3−33−3300003−33−3−33−33000000-11-113−33−3000000000000
χ392-2-22-2-222-1000011-1-11-11−33−33−33−33-2-2222-1-12-2-2-111-1112-22-11-1-11-1-2110000−33−333−33−30000−33−333−33−300-11-11−33−33000000000000
χ402-2-22-2-222-1000011-1-11-11−33−33−33−33-2-222-12-1-1112-2-2-111-11-12-22-11-11-213−33−30000−33−333−33−30000−33−3300-11-11−33−33000000000000
χ412-2-22-2-222-1000011-1-11-11−33−33−33−33-2-222-1-12-111-1112-2-2-11-1-11-12-2211-2−33−333−33−30000−33−333−33−3000000-11-11−33−33000000000000
χ422-2-2-222-2220000-2-2-2-222200000000-222-22222-2-22-2-22-2-2-22-2-22-2-22-2222000000000000000000000000002-2-220000000000000000
χ432-2-2-222-2220000-2-2-2-222200000000-222-2-1-1-1-111-111-1111-111-111-11-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002-2-220000000000000000
χ442-2-2-222-2220000-2-2-2-222200000000-222-2-1-1-1-111-111-1111-111-111-11-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-2-220000000000000000
χ452-2-2-222-22-100001111-1-1-1−i3i3−i3i3i3−i3i3−i3-222-22-1-12-2-2-111-111-22-21-111-112-1-10000−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i300-111-1−i3i3i3−i3000000000000
χ462-2-2-222-22-100001111-1-1-1−i3i3−i3i3i3−i3i3−i3-222-2-12-1-1112-2-2-1111-11-22-21-11-12-1i3−i3i3−i30000−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i300-111-1−i3i3i3−i3000000000000
χ472-2-2-222-22-100001111-1-1-1−i3i3−i3i3i3−i3i3−i3-222-2-1-12-111-1112-2-21-111-11-22-2-1-12−i3i3−i3i3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3000000-111-1−i3i3i3−i3000000000000
χ482-2-2-222-22-100001111-1-1-1i3−i3i3−i3−i3i3−i3i3-222-22-1-12-2-2-111-111-22-21-111-112-1-10000i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i300-111-1i3−i3−i3i3000000000000
χ492-2-2-222-22-100001111-1-1-1i3−i3i3−i3−i3i3−i3i3-222-2-12-1-1112-2-2-1111-11-22-21-11-12-1−i3i3−i3i30000i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i300-111-1i3−i3−i3i3000000000000
χ502-2-2-222-22-100001111-1-1-1i3−i3i3−i3−i3i3−i3i3-222-2-1-12-111-1112-2-21-111-11-22-2-1-12i3−i3i3−i3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3000000-111-1i3−i3−i3i3000000000000
χ513333333333333333333333333333-1-1-1-1000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ523333333333333333333333333333-1-1-1-1000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ53333333333-3-3-3-33333333-3-3-3-3-3-3-3-3-1-1-1-100000000000000000000000000000000000000000000000011-1-1-1-111111111-1-1-1-1-1-111
χ54333333333-3-3-3-33333333-3-3-3-3-3-3-3-3-1-1-1-100000000000000000000000000000000000000000000000011-1-1-1-11111-1-1-1-1111111-1-1
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χ774-444-44-4-440000-444-4-4-44000000000000-2-2-22-222-222-222-2-22-2-22-2-22220000000000000000000000000000000000000000000000
χ784-444-44-4-4-200002-2-2222-223−23−232323−23−2323000011-2-11-1-11-12-22-111-1112-2-2-1-123−3−33−333−300003−3−33−333−300000000000000000000000000
χ794-444-44-4-4-200002-2-2222-223−23−232323−23−232300001-21-11-12-22-11-1-1112-2-2-111-12-1−333−300003−3−33−333−300003−3−330000000000000000000000
χ804-444-44-4-4-200002-2-2222-223−23−232323−23−23230000-2112-22-11-1-11-12-2-2-111-1112-1-100003−3−33−333−300003−3−33−333−30000000000000000000000
χ814-444-44-4-4-200002-2-2222-2−232323−23−232323−23000011-2-11-1-11-12-22-111-1112-2-2-1-12−333−33−3−330000−333−33−3−3300000000000000000000000000
χ824-444-44-4-4-200002-2-2222-2−232323−23−232323−2300001-21-11-12-22-11-1-1112-2-2-111-12-13−3−330000−333−33−3−330000−333−30000000000000000000000
χ834-444-44-4-4-200002-2-2222-2−232323−23−232323−230000-2112-22-11-1-11-12-2-2-111-1112-1-10000−333−33−3−330000−333−33−3−330000000000000000000000
χ844-44-44-44-440000-44-444-4-4000000000000111-11-1-11-1-11-11-1-11-1-11-1-1111−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000000000
χ854-44-44-44-440000-44-444-4-4000000000000111-11-1-11-1-11-11-1-11-1-11-1-1111i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000000000
χ864-44-44-44-440000-44-444-4-4000000000000-2-2-22-222-222-22-222-222-222-2-2-20000000000000000000000000000000000000000000000
χ874-44-44-44-4-200002-22-2-222−2i32i32i3−2i32i3−2i3−2i32i3000011-2-11-1-11-12-221-1-11-1-1-22211-2−i3i3i3−i3i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ884-44-44-44-4-200002-22-2-222−2i32i32i3−2i32i3−2i3−2i32i300001-21-11-12-22-11-11-1-1-2221-1-11-21i3−i3−i3i30000−i3i3i3−i3−i3i3i3−i30000i3−i3−i3i30000000000000000000000
χ894-44-44-44-4-200002-22-2-222−2i32i32i3−2i32i3−2i3−2i32i30000-2112-22-11-1-11-1-2221-1-11-1-1-2110000−i3i3i3−i3i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000
χ904-44-44-44-4-200002-22-2-2222i3−2i3−2i32i3−2i32i32i3−2i3000011-2-11-1-11-12-221-1-11-1-1-22211-2i3−i3−i3i3−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ914-44-44-44-4-200002-22-2-2222i3−2i3−2i32i3−2i32i32i3−2i300001-21-11-12-22-11-11-1-1-2221-1-11-21−i3i3i3−i30000i3−i3−i3i3i3−i3−i3i30000−i3i3i3−i30000000000000000000000
χ924-44-44-44-4-200002-22-2-2222i3−2i3−2i32i3−2i32i32i3−2i30000-2112-22-11-1-11-1-2221-1-11-1-1-2110000i3−i3−i3i3−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000
χ9366666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-2-2-2-2000000000000000000000000000000000000000000000000-2-211111111000000000000
χ9466666666-3-6-6-6-6-3-3-3-3-3-3-333333333-2-2-2-2000000000000000000000000000000000000000000000000221111-1-1-1-1000000000000
χ95666-6-6-6-66-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i-22-22000000000000000000000000000000000000000000000000−2i2i11-1-1ii−i−i000000000000
χ96666-6-6-6-66-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i-22-220000000000000000000000000000000000000000000000002i−2i11-1-1−i−iii000000000000
χ976-6-66-6-66660000-6-666-66-60000000022-2-200000000000000000000000000000000000000000000000000-22-220000000000000000
χ986-6-66-6-666-3000033-3-33-3333−3333−3333−3333−3322-2-2000000000000000000000000000000000000000000000000001-11-1−33−33000000000000
χ996-6-66-6-666-3000033-3-33-33−3333−3333−3333−333322-2-2000000000000000000000000000000000000000000000000001-11-13−33−3000000000000
χ1006-6-6-666-6660000-6-6-6-6666000000002-2-2200000000000000000000000000000000000000000000000000-222-20000000000000000
χ1016-6-6-666-66-300003333-3-3-3−3i33i3−3i33i33i3−3i33i3−3i32-2-22000000000000000000000000000000000000000000000000001-1-11i3−i3−i3i3000000000000
χ1026-6-6-666-66-300003333-3-3-33i3−3i33i3−3i3−3i33i3−3i33i32-2-22000000000000000000000000000000000000000000000000001-1-11−i3i3i3−i3000000000000

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