Finite Group Databasebeta

← Group #11876917

Character table — Group #11876917

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122233444444666666121212123666121212121212121212121212121244444412121212121212121212121212121212121212122466888812121212121224446612121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-1-1-1-111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11
χ12111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-1-1-1-11111-1-111-1-1111-1
χ13111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-111-11
χ14111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ15111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-11-1-111111-1-1-1-111-1-1-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2222222-2-222-2-20000000000-2-2-2-2000000002-2220000-2-2-2-2220000000000000000000000
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2222222-2-2-2-2220000000000-2-2-2-200000000-22-2-200002222-2-20000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-222-2-20000000000-2-22200000000-22-2-20000-2-222220000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2220000000000-2-222000000002-222000022-2-2-2-20000000000000000000000
χ2122222-12222222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-1-1-12020-1-10000-1-10000000000
χ2222222-12222222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-2-2-2-21111-2-2-1-1-1-11111111122-1-10000-1-1-1-1-1-1-20-20110000110000000000
χ2322222-12222222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-2-2-22222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000111111-20-20110000110000000000
χ2422222-12222222-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-21111-2-2-1-1-1-111111111-2-21100001111112020-1-10000-1-10000000000
χ2522222-122-2-2-2-22-1-122-1-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-222-2-20000−i3i3−i3i3001111−i3−i3i3i3−i3−i3i3i32-2-1-100001111-1-10000−i3i30000−i3i30000000000
χ2622222-122-2-2-2-22-1-122-1-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-222-2-20000i3−i3i3−i3001111i3i3−i3−i3i3i3−i3−i32-2-1-100001111-1-10000i3−i30000i3−i30000000000
χ2722222-122-2-2-2-22-1-122-1-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-2-2-2220000−i3i3−i3i3001111−i3−i3i3i3−i3−i3i3i3-22110000-1-1-1-1110000i3−i30000i3−i30000000000
χ2822222-122-2-2-2-22-1-122-1-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-2-2-2220000i3−i3i3−i3001111i3i3−i3−i3i3i3−i3−i3-22110000-1-1-1-1110000−i3i30000−i3i30000000000
χ2922222-1-2-222-2-22-1-122-11111-1-1-1-12211-1-1-2-21111-2-222-2-20000−i3i3i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-2211000011-1-1-1-10000−i3i30000i3−i30000000000
χ3022222-1-2-222-2-22-1-122-11111-1-1-1-12211-1-1-2-21111-2-222-2-20000i3−i3−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-2211000011-1-1-1-10000i3−i30000−i3i30000000000
χ3122222-1-2-222-2-22-1-122-11111-1-1-1-12211-1-1-2-21111-2-2-2-2220000−i3i3i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32-2-1-10000-1-111110000i3−i30000−i3i30000000000
χ3222222-1-2-222-2-22-1-122-11111-1-1-1-12211-1-1-2-21111-2-2-2-2220000i3−i3−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32-2-1-10000-1-111110000−i3i30000i3−i30000000000
χ3322222-1-2-2-2-2222-1-122-11111-1-1-1-1-2-2-1-111-2-211112222222-2-2-2-1-11122-1-111-1-1-1-11111-2-2110000-1-111-1-120-20-1-10000110000000000
χ3422222-1-2-2-2-2222-1-122-11111-1-1-1-1-2-2-1-111-2-21111222222-222211-1-1-2-2-1-1111111-1-1-1-1-2-2110000-1-111-1-1-2020110000-1-10000000000
χ3522222-1-2-2-2-2222-1-122-11111-1-1-1-1-2-2-1-111-2-2111122-2-2-2-22-2-2-2-1-11122-1-111-1-1-1-1111122-1-1000011-1-111-2020110000-1-10000000000
χ3622222-1-2-2-2-2222-1-122-11111-1-1-1-1-2-2-1-111-2-2111122-2-2-2-2-222211-1-1-2-2-1-1111111-1-1-1-122-1-1000011-1-11120-20-1-10000110000000000
χ372222-12222222-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000020200-1-1-1-100-1-1-1-1000000
χ382222-12222222-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-2001111001111000000
χ392222-12222222-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-211-2-2-2-211-1-1-1-111111111000022220000000-20-200111100-1-1-1-1000000
χ402222-12222222-122-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-211-2-2-2-211-1-1-1-1111111110000-2-2-2-2000000020200-1-1-1-1001111000000
χ412222-12-2-2-2-222-122-1-12-2-2-2-2-1-1-1-11122-2-2111111-1-100002-21122-2-2-1-1-1-111-1-1-1-11111000022-2-2000000020-20011-1-100-1-111000000
χ422222-12-2-2-2-222-122-1-12-2-2-2-2-1-1-1-11122-2-2111111-1-100002-21122-2-2-1-1-1-111-1-1-1-111110000-2-2220000000-20200-1-1110011-1-1000000
χ432222-12-2-2-2-222-122-1-12-2-2-2-2-1-1-1-11122-2-2111111-1-10000-22-1-1-2-22211-1-1111111-1-1-1-1000022-2-20000000-20200-1-11100-1-111000000
χ442222-12-2-2-2-222-122-1-12-2-2-2-2-1-1-1-11122-2-2111111-1-10000-22-1-1-2-22211-1-1111111-1-1-1-10000-2-222000000020-20011-1-10011-1-1000000
χ4522-2-2222i−2i2i−2i2-2-22-2-22-22i2i−2i−2i2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i000000000000000000000000000000000000002-22i−2i00
χ4622-2-2222i−2i2i−2i2-2-22-2-22-22i2i−2i−2i2-22-22i−2i2-22i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000000000-22−2i2i00
χ4722-2-2222i−2i−2i2i-22-22-2-22-22i2i−2i−2i2-22-2−2i2i-22−2i2i2i−2i2i2i−2i−2i-2200000000000000-22−2i2i0000000000002-22i−2i0000000000000000002-22i−2i000000
χ4822-2-2222i−2i−2i2i-22-22-2-22-22i2i−2i−2i2-22-2−2i2i-22−2i2i2i−2i2i2i−2i−2i-2200000000000000-22−2i2i000000000000-22−2i2i000000000000000000-22−2i2i000000
χ4922-2-222−2i2i2i−2i-22-22-2-22-2−2i−2i2i2i2-22-22i−2i-222i−2i−2i2i−2i−2i2i2i-2200000000000000-222i−2i0000000000002-2−2i2i0000000000000000002-2−2i2i000000
χ5022-2-222−2i2i2i−2i-22-22-2-22-2−2i−2i2i2i2-22-22i−2i-222i−2i−2i2i−2i−2i2i2i-2200000000000000-222i−2i000000000000-222i−2i000000000000000000-222i−2i000000
χ5122-2-222−2i2i−2i2i2-2-22-2-22-2−2i−2i2i2i2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i000000000000000000000000000000000000002-2−2i2i00
χ5222-2-222−2i2i−2i2i2-2-22-2-22-2−2i−2i2i2i2-22-2−2i2i2-2−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000000000-222i−2i00
χ5322-2-2-122i−2i−2i2i-2212-21-1-22i2i−2i−2i-11-11i−i-22−2i2i−ii−i−iii1-10000003−30000−i3i31-1i−i−i3i3−i3i33−33−300002-22i−2i0000000000003−3−i3i300-11−ii000000
χ5422-2-2-122i−2i−2i2i-2212-21-1-22i2i−2i−2i-11-11i−i-22−2i2i−ii−i−iii1-10000003−30000−i3i31-1i−i−i3i3−i3i33−33−30000-22−2i2i000000000000−33i3−i3001-1i−i000000
χ5522-2-2-122i−2i−2i2i-2212-21-1-22i2i−2i−2i-11-11i−i-22−2i2i−ii−i−iii1-1000000−330000i3−i31-1i−ii3−i3i3−i3−33−3300002-22i−2i000000000000−33i3−i300-11−ii000000
χ5622-2-2-122i−2i−2i2i-2212-21-1-22i2i−2i−2i-11-11i−i-22−2i2i−ii−i−iii1-1000000−330000i3−i31-1i−ii3−i3i3−i3−33−330000-22−2i2i0000000000003−3−i3i3001-1i−i000000
χ5722-2-2-12−2i2i2i−2i-2212-21-1-2−2i−2i2i2i-11-11−ii-222i−2ii−iii−i−i1-10000003−30000i3−i31-1−iii3−i3i3−i33−33−300002-2−2i2i0000000000003−3i3−i300-11i−i000000
χ5822-2-2-12−2i2i2i−2i-2212-21-1-2−2i−2i2i2i-11-11−ii-222i−2ii−iii−i−i1-10000003−30000i3−i31-1−iii3−i3i3−i33−33−30000-222i−2i000000000000−33−i3i3001-1−ii000000
χ5922-2-2-12−2i2i2i−2i-2212-21-1-2−2i−2i2i2i-11-11−ii-222i−2ii−iii−i−i1-1000000−330000−i3i31-1−ii−i3i3−i3i3−33−3300002-2−2i2i000000000000−33−i3i300-11i−i000000
χ6022-2-2-12−2i2i2i−2i-2212-21-1-2−2i−2i2i2i-11-11−ii-222i−2ii−iii−i−i1-1000000−330000−i3i31-1−ii−i3i3−i3i3−33−330000-222i−2i0000000000003−3i3−i3001-1−ii000000
χ614444-2444-4-4-4-4-244-2-244444-2-2-2-222-4-4-4-4-2-2-2-2-2-22200000000000000222200000000000000000000000000000000000000000000
χ624444-24-4-444-4-4-244-2-24-4-4-4-4-2-2-2-2-2-2-4-444222222220000000000000022-2-200000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2000044-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
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χ704444-2-2-4-4-4-444-2-2-2-2-2-22222111122-2-22222-1-1-1-1-2-20000-44-2-222-2-22211-1-1-1-1-1-11111000000000000000000000000000000000000
χ7144-4-44-24i−4i4i−4i4-4-4-22-442−2i−2i2i2i-22-224i−4i-22−2i2i4i−4i−2i−2i2i2i4-400000000000000-22−2i2i00000000000000000000000000000000000000000000
χ7244-4-44-24i−4i−4i4i-44-4-22-442−2i−2i2i2i-22-22−4i4i2-22i−2i4i−4i−2i−2i2i2i-44000000000000002-22i−2i00000000000000000000000000000000000000000000
χ7344-4-44-2−4i4i4i−4i-44-4-22-4422i2i−2i−2i-22-224i−4i2-2−2i2i−4i4i2i2i−2i−2i-44000000000000002-2−2i2i00000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-4-4-22-4422i2i−2i−2i-22-22−4i4i-222i−2i−4i4i2i2i−2i−2i4-400000000000000-222i−2i00000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-424-42-2-44i4i−4i−4i-22-22−2i2i4-44i−4i−2i2i−2i−2i2i2i-2200000000000000-22−2i2i00000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-424-42-2-4−4i−4i4i4i-22-222i−2i4-4−4i4i2i−2i2i2i−2i−2i-2200000000000000-222i−2i00000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-222-22−2i−2i2i2i1-11-1−2i2i-22−2i2i−2i2iii−i−i-22000000000000001-1i−i3-3-333i−3i−3i3i000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-222-22−2i−2i2i2i1-11-1−2i2i-22−2i2i−2i2iii−i−i-22000000000000001-1i−i-333-3−3i3i3i−3i000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-222-22−2i−2i2i2i1-11-12i−2i2-22i−2i−2i2iii−i−i2-200000023−230000−2i32i3-11−iii3−i3i3−i3−33−33000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-222-22−2i−2i2i2i1-11-12i−2i2-22i−2i−2i2iii−i−i2-2000000−232300002i3−2i3-11−ii−i3i3−i3i33−33−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-222-222i2i−2i−2i1-11-1−2i2i2-2−2i2i2i−2i−i−iii2-200000023−2300002i3−2i3-11i−i−i3i3−i3i3−33−33000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-222-222i2i−2i−2i1-11-1−2i2i2-2−2i2i2i−2i−i−iii2-2000000−23230000−2i32i3-11i−ii3−i3i3−i33−33−3000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-222-222i2i−2i−2i1-11-12i−2i-222i−2i2i−2i−i−iii-22000000000000001-1−ii3-3-33−3i3i3i−3i000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-222-222i2i−2i−2i1-11-12i−2i-222i−2i2i−2i−i−iii-22000000000000001-1−ii-333-33i−3i−3i3i000000000000000000000000000000000000
χ854-44-444000000-4-4-44-44000044-4-400000000000000004i−4i0000000000000000000000000000004i−4i00000000000000000000000000
χ864-44-444000000-4-4-44-44000044-4-40000000000000000−4i4i000000000000000000000000000000−4i4i00000000000000000000000000
χ874-44-44-2000000-4224-4-2−2i32i3−2i32i3-2-22200000000−2i32i3−2i32i300004i−4i000000000000000000000000000000−2i2i23−23000000000000000000000000
χ884-44-44-2000000-4224-4-2−2i32i3−2i32i3-2-22200000000−2i32i3−2i32i30000−4i4i0000000000000000000000000000002i−2i−2323000000000000000000000000
χ894-44-44-2000000-4224-4-22i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i300004i−4i000000000000000000000000000000−2i2i−2323000000000000000000000000
χ904-44-44-2000000-4224-4-22i3−2i32i3−2i3-2-222000000002i3−2i32i3−2i30000−4i4i0000000000000000000000000000002i−2i23−23000000000000000000000000
χ914-4-44440000004-44-4-4-400004-4-44000000000000004i−4i0000000000000000000000000000000000004i−4i0000000000000000000000
χ924-4-44440000004-44-4-4-400004-4-4400000000000000−4i4i000000000000000000000000000000000000−4i4i0000000000000000000000
χ934-4-444-200000042-2-4-4223−23−2323-222-20000000023−23−2323004i−4i00000000000000000000000000−2i32i300000000−2i2i0000000000000000000000
χ944-4-444-200000042-2-4-4223−23−2323-222-20000000023−23−232300−4i4i000000000000000000000000002i3−2i3000000002i−2i0000000000000000000000
χ954-4-444-200000042-2-4-42−232323−23-222-200000000−232323−23004i−4i000000000000000000000000002i3−2i300000000−2i2i0000000000000000000000
χ964-4-444-200000042-2-4-42−232323−23-222-200000000−232323−2300−4i4i00000000000000000000000000−2i32i3000000002i−2i0000000000000000000000
χ978-88-8-480000004-8-8-4480000-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4000000444-44-4−4i34i3−4i34i322-2-2000000002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4000000444-44-44i3−4i34i3−4i322-2-200000000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48000000-4-8844-80000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000-44-444443−43−43432-2-2200000000−232323−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000-44-4444−434343−432-2-220000000023−23−23230000000000000000000000000000000000000000000000000000000000000000

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