Finite Group Databasebeta

← Group #11786702

Character table — Group #11786702

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666666634444666666666121212121212121212121212121212121212121212121212121212124444121212121212121244888812121212242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ91-11-1-11111-11-1-1-1-1-111-111-11ii−i−i1-111-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1i−i1-1i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ101-11-1-11111-11-1-1-1-1-111-111-11ii−i−i1-111-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-11111-1-1-1-1i−i-11−iiii−i−i-1-111−i−iii-11−ii-11−ii
χ111-11-1-11111-11-1-1-1-1-111-111-11ii−i−i1-111-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i-1-111-1-1-1-11111−ii1-1i−i−i−iii11-1-1ii−i−i-11−ii-11−ii
χ121-11-1-11111-11-1-1-1-1-111-111-11ii−i−i1-111-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i-1-111-1-1-1-11111−ii-11−ii−i−iii-1-111−i−iii1-1i−i1-1i−i
χ131-11-1-11111-11-1-1-1-1-111-111-11−i−iii1-111-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−ii1-1−ii−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ141-11-1-11111-11-1-1-1-1-111-111-11−i−iii1-111-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−ii-11i−i−i−iii-1-111ii−i−i-11i−i-11i−i
χ151-11-1-11111-11-1-1-1-1-111-111-11−i−iii1-111-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii-1-111-1-1-1-11111i−i1-1−iiii−i−i11-1-1−i−iii-11i−i-11i−i
χ161-11-1-11111-11-1-1-1-1-111-111-11−i−iii1-111-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii-1-111-1-1-1-11111i−i-11i−iii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ1722222222-2-2-2-2222222222222-22-2222222222-2-2-2-2-2-2-2-22-22-22-22-2-2-2-2-222-2-222-2-200000000000000000000000000000000000000
χ1822222222-2-2-2-222222222222-22-22222222222-2-2-2-2-2-2-2-2-22-22-22-22-2-2-2-2-2-222-2-22200000000000000000000000000000000000000
χ192222222-12222222-12-1-1222-12222-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-100000000
χ202222222-12222222-12-1-1222-12222-1-1-1-1-1-1-1-1-122-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-200001111111100000000
χ212222222-12222222-12-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-1-1-11111-2-2-2-2-1-1-1-1111111110000000000000022-2-20000-1-1-1-1111100000000
χ222222222-12222222-12-1-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-1-1-11111-2-2-2-2-1-1-1-11111111100000000000000-2-22200001111-1-1-1-100000000
χ232222222-1-2-2-2-2222-12-1-1222-12-22-2-1-1-1-1-1-1-1-1-1-2-21-2-2111-11-112-22-21111-1-111-1-11100000000000000000000003−33−33−33−300000000
χ242222222-1-2-2-2-2222-12-1-1222-12-22-2-1-1-1-1-1-1-1-1-1-2-21-2-2111-11-112-22-21111-1-111-1-1110000000000000000000000−33−33−33−3300000000
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χ27222222-122222-1-1-12-122-1-1-1-1222222-1-1-1-1-1-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-10000000000000000
χ28222222-122222-1-1-12-122-1-1-1-1222222-1-1-1-1-1-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2000011110000000000000000
χ29222222-122222-1-1-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2000011110000000000000000
χ30222222-122222-1-1-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-12-1-1222-2-2-2-21111-1-1-1-111111111-2-2-2-211111111220000-1-1-1-10000000000000000
χ31222222-12-2-2-2-2-1-1-12-122-1-1-1-12-22-222-1-1-1-1-1-1-111-211-2-2-22-22-2-11-111111-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i30000000000000000
χ32222222-12-2-2-2-2-1-1-12-122-1-1-1-12-22-222-1-1-1-1-1-1-111-211-2-2-22-22-2-11-111111-1-111-1-1110000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i30000000000000000
χ33222222-12-2-2-2-2-1-1-12-122-1-1-1-1-22-2222-1-1-1-1-1-1-111-211-2-2-2-22-221-11-1111111-1-111-1-10000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i30000000000000000
χ34222222-12-2-2-2-2-1-1-12-122-1-1-1-1-22-2222-1-1-1-1-1-1-111-211-2-2-2-22-221-11-1111111-1-111-1-10000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i30000000000000000
χ352222-2-2222-2-222-2-22222-2-2220000-2-2-2-22-2-2222-222-2-2-22000000002-22-2000000000000000000000000000000000000002200-2-200
χ362222-2-2222-2-222-2-22222-2-2220000-2-2-2-22-2-2222-222-2-2-22000000002-22-200000000000000000000000000000000000000-2-2002200
χ372222-2-222-222-22-2-22222-2-2220000-2-2-2-22-2-222-22-2-2222-200000000-22-2200000000000000000000000000000000000000002200-2-2
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χ412-22-22-222-2-222-222-222-2-2-2-220000-22-2-2-2222-2-22-22-2-22200000000-222-200000000000000000000000000000000000000002i−2i00−2i2i
χ422-22-22-222-2-222-222-222-2-2-2-220000-22-2-2-2222-2-22-22-2-22200000000-222-20000000000000000000000000000000000000000−2i2i002i−2i
χ432-22-2-2222-22-22-2-2-2-222-222-222i−2i−2i2i2-222-2-2-22-2-2-2-2222-222i−2i−2i2i2i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ442-22-2-2222-22-22-2-2-2-222-222-22−2i2i2i−2i2-222-2-2-22-2-2-2-2222-22−2i2i2i−2i−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ452-22-2-222-12-22-2-2-2-212-1122-2-12i2i−2i−2i-11-1-1111-1122-1-2-21-11−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii000000000000002-22i−2i0000-1-111−i−iii00000000
χ462-22-2-222-12-22-2-2-2-212-1122-2-12i2i−2i−2i-11-1-1111-1122-1-2-21-11−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00000000000000-22−2i2i000011-1-1ii−i−i00000000
χ472-22-2-222-12-22-2-2-2-212-1122-2-1−2i−2i2i2i-11-1-1111-1122-1-2-21-11ii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ482-22-2-222-12-22-2-2-2-212-1122-2-1−2i−2i2i2i-11-1-1111-1122-1-2-21-11ii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00000000000000-222i−2i000011-1-1−i−iii00000000
χ492-22-2-222-1-22-22-2-2-212-1122-2-12i−2i−2i2i-11-1-1111-11-2-2122-11-1−iii−i2i−2i−2i2i11-1-1−i−iiiii−i−i00000000000000000000003−3−33i3−i3−i3i300000000
χ502-22-2-222-1-22-22-2-2-212-1122-2-12i−2i−2i2i-11-1-1111-11-2-2122-11-1−iii−i2i−2i−2i2i11-1-1−i−iiiii−i−i0000000000000000000000−333−3−i3i3i3−i300000000
χ512-22-2-222-1-22-22-2-2-212-1122-2-1−2i2i2i−2i-11-1-1111-11-2-2122-11-1i−i−ii−2i2i2i−2i11-1-1ii−i−i−i−iii00000000000000000000003−3−33−i3i3i3−i300000000
χ522-22-2-222-1-22-22-2-2-212-1122-2-1−2i2i2i−2i-11-1-1111-11-2-2122-11-1i−i−ii−2i2i2i−2i11-1-1ii−i−i−i−iii0000000000000000000000−333−3i3−i3−i3i300000000
χ532-22-2-22-122-22-2111-2-12-2-1-11-12i2i−2i−2i2-2-1-1111-11-1-1211-22-22i2i−2i−2i−i−iii-1-111−i−i−i−iiiii22-2-2-1-1-1-111112i−2i0000−i−iii0000000000000000
χ542-22-2-22-122-22-2111-2-12-2-1-11-12i2i−2i−2i2-2-1-1111-11-1-1211-22-22i2i−2i−2i−i−iii-1-111−i−i−i−iiiii-2-2221111-1-1-1-1−2i2i0000ii−i−i0000000000000000
χ552-22-2-22-122-22-2111-2-12-2-1-11-1−2i−2i2i2i2-2-1-1111-11-1-1211-22-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i22-2-2-1-1-1-11111−2i2i0000ii−i−i0000000000000000
χ562-22-2-22-122-22-2111-2-12-2-1-11-1−2i−2i2i2i2-2-1-1111-11-1-1211-22-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i-2-2221111-1-1-1-12i−2i0000−i−iii0000000000000000
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χ914-4-4400440000-400-4-4-44004400000000-400-4400000000000000000000000000002-2-222-22-2-22-2200000000000000000000000000
χ924-4-4400440000-400-4-4-44004400000000-400-440000000000000000000000000000-222-2-22-222-22-200000000000000000000000000
χ934-4-4400-2400002−2i32i3-42-442i3−2i3-2-20000002i3−2i32−2i32i32-200000000000000000000000000002-2-22−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000000000
χ944-4-4400-2400002−2i32i3-42-442i3−2i3-2-20000002i3−2i32−2i32i32-20000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ954-4-4400-24000022i3−2i3-42-44−2i32i3-2-2000000−2i32i322i3−2i32-200000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ964-4-4400-24000022i3−2i3-42-44−2i32i3-2-2000000−2i32i322i3−2i32-20000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ9788-8-8008-40000800-4-84400-8-400000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-4−4i34i3-4444−4i34i3420000002i3−2i322i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-44i3−4i3-44444i3−4i342000000−2i32i32−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-8004-84-4008-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i3444-44i3−4i3-42000000−2i32i3-22i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i3444-4−4i34i3-420000002i3−2i3-2−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000

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