Finite Group Databasebeta

← Group #11889708

Character table — Group #11889708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order122222334466666666663444666666666121212121212121212124121212121212121212121212121212121212122224446688881212242424242424242424466661212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-11-1-111-1-1
χ61111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-111-1-111
χ71111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-11-1-11-1-1-1-111
χ81111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-1-1-1-1-111-11111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1111-1-11
χ101111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-111-11-11-1-111-1-1111111-1-1-1-1-11-111-1-1-1111-1-1-111-1
χ111111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-111111-11-1-1111-1-1-111-111-1
χ121111-1-111111-1-1-1-1111111-111-1-11-1-1-1-1111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-1-111-1111-1-11-1-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111111-11-111-1-111-1-1-1-1-1-11111-11-111-1-1111-1-1-11-11-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-1111111-11-11-1-1-1-11111-1-1-1-11111-1-1111-1-1-1-1-1111-11-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-11-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-1-1-11-11-1-111-1-1111111-1-1-1-11-11-1-111-1-1-11111-11-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-2000000000022-2-222000022000000000000000-200-2000000
χ1822222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-20000000000-2-222-2-20000-2-20000000000000002002000000
χ192222222-122-1-1-1-1-1-12-122-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000000222200-1-1-1-1-1-1-1-1200-1-1-1-10000000000
χ202222222-122-1-1-1-1-1-12-122-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-20011111111-20011110000000000
χ212222222-122-1-1-1-1-1-12-122-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-11111111122000000-2-2-2-20011111111200-1-1-1-10000000000
χ222222222-122-1-1-1-1-1-12-122-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-111111111-2-2000000222200-1-1-1-1-1-1-1-1-20011110000000000
χ23222222-1222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222-1-10000-1-1000000000220000-1-1-1-1-1-10000
χ24222222-1222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-211000011000000000-2-200001111110000
χ25222222-1222222222-12-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-111111111002222-1-10000-1-1000000000-2-20000-111-1110000
χ26222222-1222222222-12-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-11111111100-2-2-2-2110000110000000002200001-1-11-1-10000
χ27222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i30022-2-2-1-10000-1-10000000000000001−i3i31−i3i30000
χ28222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i300-2-22211000011000000000000000-1i3−i3-1i3−i30000
χ29222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i30022-2-2-1-10000-1-10000000000000001i3−i31i3−i30000
χ30222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i300-2-22211000011000000000000000-1−i3i3-1−i3i30000
χ312222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-20000-200000200-2-22200000000002-2-22220000-2-2000000000000000-2002000000
χ322222-2-222-2-22-2-2-2-2222222200-2-22-2-2-2-222-222-2-20000-200000200-2-2220000000000-222-2-2-2000022000000000000000200-2000000
χ332222-2-22-122-11111-12-122-1-222-2-2-11111-1-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-111112200000022-2-200-1-1-1-11111-200-1-1110000000000
χ342222-2-22-122-11111-12-122-1-222-2-2-11111-1-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-11111-2-2000000-2-222001111-1-1-1-120011-1-10000000000
χ352222-2-22-122-11111-12-122-1-2-2-2-2-2-11111-1-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-122000000-2-222001111-1-1-1-1-200-1-1110000000000
χ362222-2-22-122-11111-12-122-1-2-2-2-2-2-11111-1-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-1-2-200000022-2-200-1-1-1-1111120011-1-10000000000
χ372222-2-2-12222-2-2-2-22-12-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-11111002-22-2-1-1000011000000000-220000-1111-1-10000
χ382222-2-2-12222-2-2-2-22-12-1-1-1-22211-11111-1-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-1111100-22-22110000-1-10000000002-200001-1-1-1110000
χ392222-2-2-12222-2-2-2-22-12-1-1-1-2-2-211-11111-1-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-1002-22-2-1-10000110000000002-20000-1-1-11110000
χ402222-2-2-12222-2-2-2-22-12-1-1-1-2-2-211-11111-1-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-100-22-22110000-1-1000000000-220000111-1-1-10000
χ412222-2-2-12-2-22-2-2-2-22-12-1-1-120011-11111-1-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3002-2-22-1-10000110000000000000001i3−i3-1−i3i30000
χ422222-2-2-12-2-22-2-2-2-22-12-1-1-120011-11111-1-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300-222-2110000-1-1000000000000000-1−i3i31i3−i30000
χ432222-2-2-12-2-22-2-2-2-22-12-1-1-120011-11111-1-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3002-2-22-1-10000110000000000000001−i3i3-1i3−i30000
χ442222-2-2-12-2-22-2-2-2-22-12-1-1-120011-11111-1-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300-222-2110000-1-1000000000000000-1i3−i31−i3i30000
χ452-22-200222-2-200002-2-22-2202i−2i00-200002-22002-22i−2i2i−2i-202i−2i000002-2002i−2i2i−2i00002-20000002i−2i00002i2i−2i−2i00000002-2000000000000
χ462-22-200222-2-200002-2-22-2202i−2i00-200002-22002-22i−2i2i−2i-202i−2i000002-2002i−2i2i−2i0000-22000000−2i2i0000−2i−2i2i2i0000000-22000000000000
χ472-22-200222-2-200002-2-22-220−2i2i00-200002-22002-2−2i2i−2i2i-20−2i2i000002-200−2i2i−2i2i00002-2000000−2i2i0000−2i−2i2i2i00000002-2000000000000
χ482-22-200222-2-200002-2-22-220−2i2i00-200002-22002-2−2i2i−2i2i-20−2i2i000002-200−2i2i−2i2i0000-220000002i−2i00002i2i−2i−2i0000000-22000000000000
χ492-22-2002-12-21−i3−i3i3i3-1-212-2-102i−2i001−i3−i3i3i3-11-1−i3i32-22i−2i2i−2i10−ii3−3000-11−i3i3−ii−ii3−33−32-20000002i−2i0000−i−iii33−3−3000-11−i3i30000000000
χ502-22-2002-12-21−i3−i3i3i3-1-212-2-102i−2i001−i3−i3i3i3-11-1−i3i32-22i−2i2i−2i10−ii3−3000-11−i3i3−ii−ii3−33−3-22000000−2i2i0000ii−i−i−3−3330001-1i3−i30000000000
χ512-22-2002-12-21−i3−i3i3i3-1-212-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-2−2i2i−2i2i10i−i−33000-11−i3i3i−ii−i−33−332-2000000−2i2i0000ii−i−i−3−333000-11−i3i30000000000
χ522-22-2002-12-21−i3−i3i3i3-1-212-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-2−2i2i−2i2i10i−i−33000-11−i3i3i−ii−i−33−33-220000002i−2i0000−i−iii33−3−30001-1i3−i30000000000
χ532-22-2002-12-21i3i3−i3−i3-1-212-2-102i−2i001i3i3−i3−i3-11-1i3−i32-22i−2i2i−2i10−ii−33000-11i3−i3−ii−ii−33−332-20000002i−2i0000−i−iii−3−333000-11i3−i30000000000
χ542-22-2002-12-21i3i3−i3−i3-1-212-2-102i−2i001i3i3−i3−i3-11-1i3−i32-22i−2i2i−2i10−ii−33000-11i3−i3−ii−ii−33−33-22000000−2i2i0000ii−i−i33−3−30001-1−i3i30000000000
χ552-22-2002-12-21i3i3−i3−i3-1-212-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-2−2i2i−2i2i10i−i3−3000-11i3−i3i−ii−i3−33−32-2000000−2i2i0000ii−i−i33−3−3000-11i3−i30000000000
χ562-22-2002-12-21i3i3−i3−i3-1-212-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-2−2i2i−2i2i10i−i3−3000-11i3−i3i−ii−i3−33−3-220000002i−2i0000−i−iii−3−3330001-1−i3i30000000000
χ574444444-2-4-4-2-2-2-2-2-24-244-2-40044-2-2-2-2-2-2-2222-4-40000200000-400222200000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-22222-2-42222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222−2i3−2i32i32i32000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-21111111222222i32i3−2i3−2i320000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ624444-4-44-2-4-4-22222-24-244-2400-4-4-22222-2-22-2-2-4-4000020000040022-2-200000000000000000000000000000000000000000000000
χ634444-4-4-2-244-22222-2-2-2-2-21-444221-1-1-1-111-222-2-2-2-2-2-2-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-4-4-2-244-22222-2-2-2-2-21-4-4-4221-1-1-1-111-222-2-22222-2422-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-222−2i3−2i32i32i3200000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-4-4-2-2-4-4-22222-2-2-2-2-21400221-1-1-1-1112-2-2222i32i3−2i3−2i3200000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-44-4440044-44-4-44-4-4-440004-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-44-200-2-22-22242-4-4-20004-4-2-22-2222000000000000000000000000000000000000000000006−66−66−66−600000000000000000
χ6944-4-44-44-200-2-22-22242-4-4-20004-4-2-22-222200000000000000000000000000000000000000000000−66−66−66−6600000000000000000
χ7044-4-44-4-240044-44-4-4-2-422-2000-22-2-22-2222000000000000000000000000000000000000−2i32i30000−2i32i30000000000000000000000000
χ7144-4-44-4-240044-44-4-4-2-422-2000-22-2-22-22220000000000000000000000000000000000002i3−2i300002i3−2i30000000000000000000000000
χ7244-4-4-4444004-44-44-44-4-4-44000-444-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-444-200-22-22-2242-4-4-2000-44-22-22-222000000000000000000000000000000000000000000006−66−6−66−6600000000000000000
χ7444-4-4-444-200-22-22-2242-4-4-2000-44-22-22-22200000000000000000000000000000000000000000000−66−666−66−600000000000000000
χ7544-4-4-44-24004-44-44-4-2-422-20002-2-22-22-222000000000000000000000000000000000000−2i32i300002i3−2i30000000000000000000000000
χ7644-4-4-44-24004-44-44-4-2-422-20002-2-22-22-2220000000000000000000000000000000000002i3−2i30000−2i32i30000000000000000000000000
χ774-44-40044-44-400004-4-44-4400000-400004-4-400-440000400000000-440000000000000000000000000000000000000000000000000
χ784-44-4004-2-442−2i3−2i32i32i3-2-424-4-2000002−2i3−2i32i32i3-2222i3−2i3-440000-2000000002-22i3−2i300000000000000000000000000000000000000000000000
χ794-44-4004-2-4422i32i3−2i3−2i3-2-424-4-20000022i32i3−2i3−2i3-222−2i32i3-440000-2000000002-2−2i32i300000000000000000000000000000000000000000000000
χ804-44-400-244-4-4000042-4-22-204i−4i0020000-22400-22−2i2i−2i2i-404i−4i00000-2200−2i2i−2i2i0000000000000000000000000000000000000000000
χ814-44-400-244-4-4000042-4-22-20−4i4i0020000-22400-222i−2i2i−2i-40−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000000000000
χ824-44-400-24-44-4000042-4-22-20000020000-22-4002-223−23−23234000000002-20023−23−23230000000000000000000000000000000000000000000
χ834-44-400-24-44-4000042-4-22-20000020000-22-4002-2−232323−234000000002-200−232323−230000000000000000000000000000000000000000000
χ844-44-400-2-24-42−2i3−2i32i32i3-222-22104i−4i00-1i3i3−i3−i31-1-2−2i32i3-22−2i2i−2i2i20−2i2i23−230001-1i3−i3i−ii−i−33−33000000000000000000000000000000000000000
χ854-44-400-2-24-42−2i3−2i32i32i3-222-2210−4i4i00-1i3i3−i3−i31-1-2−2i32i3-222i−2i2i−2i202i−2i−23230001-1i3−i3−ii−ii3−33−3000000000000000000000000000000000000000
χ864-44-400-2-24-422i32i3−2i3−2i3-222-22104i−4i00-1−i3−i3i3i31-1-22i3−2i3-22−2i2i−2i2i20−2i2i−23230001-1−i3i3i−ii−i3−33−3000000000000000000000000000000000000000
χ874-44-400-2-24-422i32i3−2i3−2i3-222-2210−4i4i00-1−i3−i3i3i31-1-22i3−2i3-222i−2i2i−2i202i−2i23−230001-1−i3i3−ii−ii−33−33000000000000000000000000000000000000000
χ884-44-400-2-2-442−2i3−2i32i32i3-222-22100000-1i3i3−i3−i31-122i3−2i32-223−23−2323-200000000-11−i3i3−333−3−3i3i3i−3i000000000000000000000000000000000000000
χ894-44-400-2-2-442−2i3−2i32i32i3-222-22100000-1i3i3−i3−i31-122i3−2i32-2−232323−23-200000000-11−i3i33−3−333i−3i−3i3i000000000000000000000000000000000000000
χ904-44-400-2-2-4422i32i3−2i3−2i3-222-22100000-1−i3−i3i3i31-12−2i32i32-223−23−2323-200000000-11i3−i3−333−33i−3i−3i3i000000000000000000000000000000000000000
χ914-44-400-2-2-4422i32i3−2i3−2i3-222-22100000-1−i3−i3i3i31-12−2i32i32-2−232323−23-200000000-11i3−i33−3−33−3i3i3i−3i000000000000000000000000000000000000000
χ924-4-44004400-40000-4-44-44400000-40000-44000000000000000000000000000000000000000022−2200000022−22−222200000000000000000
χ934-4-44004400-40000-4-44-44400000-40000-440000000000000000000000000000000000000000−2222000000−222222−2200000000000000000
χ944-4-44004-2002−2i32i32i3−2i32-4-2-44-2000002−2i32i32i3−2i32-2000000000000000000000000000000000000000022−2200−i6i6i6−i6−222−200000000000000000
χ954-4-44004-2002−2i32i32i3−2i32-4-2-44-2000002−2i32i32i3−2i32-20000000000000000000000000000000000000000−222200i6−i6−i6i62−2−2200000000000000000
χ964-4-44004-20022i3−2i3−2i32i32-4-2-44-20000022i3−2i3−2i32i32-2000000000000000000000000000000000000000022−2200i6−i6−i6i6−222−200000000000000000
χ974-4-44004-20022i3−2i3−2i32i32-4-2-44-20000022i3−2i3−2i32i32-20000000000000000000000000000000000000000−222200−i6i6i6−i62−2−2200000000000000000
χ9888-8-88-8-4-400-4-44-444-44442000-4422-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-400-44-44-44-444420004-42-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800-80000-8484-4-400000400004-4000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-4004−4i34i34i3−4i344-44-4200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40044i3−4i3−4i34i344-44-4200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000

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