Finite Group Databasebeta

← Group #11871290

Character table — Group #11871290

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222334444446666661212121236661212121212121212121212121212224488121212122424242424242424242424242424242422444466121212121212246666881212121224242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111-1-1
χ9111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-111111-1-1-1-1-111-1-111-1-1-11
χ10111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-11-1-1-1-11-1111111-1-1-1-1111-1
χ11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1111-1-1-11-1-111-1-11111-1-11-1
χ12111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-1111111-1-1-1-11-1-1-111-1111-1-1-1-111-1-111-11
χ13111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-111111-11111-11-1-1-1-1-1-111-1-1111-1
χ14111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-1-1-1-111111-1-11111-1-1-11
χ15111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-111-1-1-1-1-1-111111111-11-1-1-1-1-1-11111-1111-1-11-1-1-11111-1-1-1-111-11
χ16111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111-1-1-1-111111-1-1-1111-111-1-111-1-111-1-11-1
χ1722222222-2-2-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-222220022-2-2000000000000000000-2-20022-2-222-2-20000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000002200-2-222-2-2220000000000000000000000
χ19222222-2-222-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-2-2-222-2-200-2-222000000000000000000-220022-2-2-2-2220000000000000000000000
χ20222222-2-222-2-2222222-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-22200-2-2220000000000000000002-200-2-22222-2-20000000000000000000000
χ2122222-1222222-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200220000000022-1-1-1-100-1-1-1-10000000000
χ2222222-1222222-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200000000-2-211110011110000000000
χ2322222-1222222-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-211111111111122002200000000-2-2-1-11100-1-1110000000000
χ2422222-1222222-1222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-2111111111111-2-200-2-2000000002211-1-10011-1-10000000000
χ2522222-1-2-2-2-222-1222-1-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-100002-2111122-2-2-1-1-1-1-1-11111112200-2-2000000002-2-1-1-1-10011110000000000
χ2622222-1-2-2-2-222-1222-1-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-100002-2111122-2-2-1-1-1-1-1-1111111-2-2002200000000-22111100-1-1-1-10000000000
χ2722222-1-2-2-2-222-1222-1-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-10000-221111-2-222111111-1-1-1-1-1-12200-2-200000000-22-1-1110011-1-10000000000
χ2822222-1-2-2-2-222-1222-1-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-10000-221111-2-222111111-1-1-1-1-1-1-2-20022000000002-211-1-100-1-1110000000000
χ292222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ302222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-2-2-1-1-1-11111-2-21111-2-21111002200-1-1-1-1-1-1-1-1000000-2-200001111000000
χ312222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-20011111111000000-2-200001111000000
χ322222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-2-2-1-1-1-11111-2-21111-2-2111100-2-20011111111000000220000-1-1-1-1000000
χ332222-1222-2-2-2-22-1-1-1221111-1-1-1-1-1-11122-2-2-2-21111222200-1-1113−33−30033−3−30033−3−300-2-200-1-111-1-1110000000000003−33−3000000
χ342222-1222-2-2-2-22-1-1-1221111-1-1-1-1-1-11122-2-2-2-21111222200-1-111−33−3300−3−33300−3−33300-2-200-1-111-1-111000000000000−33−33000000
χ352222-1222-2-2-2-22-1-1-1221111-1-1-1-1-1-11122-2-2-2-21111-2-2-2-200-1-1113−33−30033−3−30033−3−300220011-1-111-1-1000000000000−33−33000000
χ362222-1222-2-2-2-22-1-1-1221111-1-1-1-1-1-11122-2-2-2-21111-2-2-2-200-1-111−33−3300−3−33300−3−33300220011-1-111-1-10000000000003−33−3000000
χ372222-12-2-222-2-22-1-1-1221111-1-1-1-111-1-1-2-222-2-2111122-2-20011-1-13−3−330033−3−300−3−33300-2200-1-11111-1-10000000000003−3−33000000
χ382222-12-2-222-2-22-1-1-1221111-1-1-1-111-1-1-2-222-2-2111122-2-20011-1-1−333−300−3−3330033−3−300-2200-1-11111-1-1000000000000−333−3000000
χ392222-12-2-222-2-22-1-1-1221111-1-1-1-111-1-1-2-222-2-21111-2-2220011-1-13−3−330033−3−300−3−333002-20011-1-1-1-111000000000000−333−3000000
χ402222-12-2-222-2-22-1-1-1221111-1-1-1-111-1-1-2-222-2-21111-2-2220011-1-1−333−300−3−3330033−3−3002-20011-1-1-1-1110000000000003−3−33000000
χ412222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-122-2-22-21111-1-11122-1-1-1-1-2-21111002-200-1-1-1-111110000002-20000-1-111000000
χ422222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-122-2-2-22111111-1-1-2-2111122-1-1-1-1002-200-1-1-1-11111000000-22000011-1-1000000
χ432222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-1-2-2222-21111-1-11122-1-1-1-1-2-2111100-22001111-1-1-1-1000000-22000011-1-1000000
χ442222-12-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-222-1-1-1-1-2-222-22111111-1-1-2-2111122-1-1-1-100-22001111-1-1-1-10000002-20000-1-111000000
χ4522-2-2222i−2i2i−2i2-222-2-2-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i2-222-2-20000002i−2i2i−2i00000000000000002-2002i−2i00000000002-200002i−2i000000000000
χ4622-2-2222i−2i2i−2i2-222-2-2-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i2-222-2-20000002i−2i2i−2i0000000000000000-2200−2i2i0000000000-220000−2i2i000000000000
χ4722-2-2222i−2i−2i2i-2222-2-2-2-2-2-22222-2-22i−2i−2i2i2i−2i−2i2i-22-2-2220000002i−2i−2i2i00000000000000000000000000000000000000000000002-22i−2i00
χ4822-2-2222i−2i−2i2i-2222-2-2-2-2-2-22222-2-22i−2i−2i2i2i−2i−2i2i-22-2-2220000002i−2i−2i2i0000000000000000000000000000000000000000000000-22−2i2i00
χ4922-2-222−2i2i2i−2i-2222-2-2-2-2-2-22222-2-2−2i2i2i−2i−2i2i2i−2i-22-2-222000000−2i2i2i−2i00000000000000000000000000000000000000000000002-2−2i2i00
χ5022-2-222−2i2i2i−2i-2222-2-2-2-2-2-22222-2-2−2i2i2i−2i−2i2i2i−2i-22-2-222000000−2i2i2i−2i0000000000000000000000000000000000000000000000-222i−2i00
χ5122-2-222−2i2i−2i2i2-222-2-2-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-2000000−2i2i−2i2i00000000000000002-200−2i2i00000000002-20000−2i2i000000000000
χ5222-2-222−2i2i−2i2i2-222-2-2-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-2000000−2i2i−2i2i0000000000000000-22002i−2i0000000000-2200002i−2i000000000000
χ5322-2-22-12i−2i2i−2i2-2-12-2-21122-2-2-1-1112i−2i2i−2i−ii−ii-11-1-111000000−ii−ii0000−i3i3−i3i3−i3i33−33−33−32-2002i−2i0000000000-11−i3i300−ii3−30000000000
χ5422-2-22-12i−2i2i−2i2-2-12-2-21122-2-2-1-1112i−2i2i−2i−ii−ii-11-1-111000000−ii−ii0000−i3i3−i3i3−i3i33−33−33−3-2200−2i2i00000000001-1i3−i300i−i−330000000000
χ5522-2-22-12i−2i2i−2i2-2-12-2-21122-2-2-1-1112i−2i2i−2i−ii−ii-11-1-111000000−ii−ii0000i3−i3i3−i3i3−i3−33−33−332-2002i−2i0000000000-11i3−i300−ii−330000000000
χ5622-2-22-12i−2i2i−2i2-2-12-2-21122-2-2-1-1112i−2i2i−2i−ii−ii-11-1-111000000−ii−ii0000i3−i3i3−i3i3−i3−33−33−33-2200−2i2i00000000001-1−i3i300i−i3−30000000000
χ5722-2-22-1−2i2i−2i2i2-2-12-2-21122-2-2-1-111−2i2i−2i2ii−ii−i-11-1-111000000i−ii−i0000−i3i3−i3i3−i3i3−33−33−332-200−2i2i0000000000-11−i3i300i−i−330000000000
χ5822-2-22-1−2i2i−2i2i2-2-12-2-21122-2-2-1-111−2i2i−2i2ii−ii−i-11-1-111000000i−ii−i0000−i3i3−i3i3−i3i3−33−33−33-22002i−2i00000000001-1i3−i300−ii3−30000000000
χ5922-2-22-1−2i2i−2i2i2-2-12-2-21122-2-2-1-111−2i2i−2i2ii−ii−i-11-1-111000000i−ii−i0000i3−i3i3−i3i3−i33−33−33−32-200−2i2i0000000000-11i3−i300i−i3−30000000000
χ6022-2-22-1−2i2i−2i2i2-2-12-2-21122-2-2-1-111−2i2i−2i2ii−ii−i-11-1-111000000i−ii−i0000i3−i3i3−i3i3−i33−33−33−3-22002i−2i00000000001-1−i3i300−ii−330000000000
χ6144444-244-4-4-4-4-2444-2-2-4-4-4-4-2-2-2-244-4-4-2-222222222000000-2-2220000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4-2444-2-2-4-4-4-4-2-2-2-2-4-44422-2-222222200000022-2-20000000000000000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-211110000441111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-211110000-4-41111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-222-2-22222-1-1-1-100000011-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-222221111-2-222-2-22222-1-1-1-100000011-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-1000000-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-22222111122-2-222-2-222-1-1-1-1000000-1-111−232323−230033−3−300−3−333000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2111122222222-2-2111100004-4-1-1-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-2-2-2-2-2111122222222-2-211110000-44-1-1-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ7144-4-44-24i−4i−4i4i-44-24-4-422-4-444-2-2224i−4i−4i4i−2i2i2i−2i2-222-2-2000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
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χ7344-4-4-244i−4i4i−4i4-44-222-4-4-2-222-2-222−2i2i−2i2i4i−4i4i−4i4-4-2-222000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7444-4-4-244i−4i−4i4i-444-222-4-422-2-2-2-222−2i2i2i−2i4i−4i−4i4i-4422-2-2000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ7544-4-4-24−4i4i4i−4i-444-222-4-422-2-2-2-2222i−2i−2i2i−4i4i4i−4i-4422-2-20000002i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-44-222-4-4-2-222-2-2222i−2i2i−2i−4i4i−4i4i4-4-2-2220000002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-2-22222-2-22211-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-1000000i−ii−i0000−2i32i3i3−i3i3−i323−23−33−33000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-2-22222-2-22211-1-1−2i2i−2i2i−2i2i−2i2i-2211-1-1000000i−ii−i00002i3−2i3−i3i3−i3i3−23233−33−3000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-2-2222222-2-211-1-1−2i2i2i−2i−2i2i2i−2i2-2-1-111000000i−i−ii0000003i−3i−3i3i00-333-3000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-2-2222222-2-211-1-1−2i2i2i−2i−2i2i2i−2i2-2-1-111000000i−i−ii000000−3i3i3i−3i003-3-33000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-2-2222222-2-211-1-12i−2i−2i2i2i−2i−2i2i2-2-1-111000000−iii−i0000003i−3i−3i3i003-3-33000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-2-2222222-2-211-1-12i−2i−2i2i2i−2i−2i2i2-2-1-111000000−iii−i000000−3i3i3i−3i00-333-3000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-2-22222-2-22211-1-12i−2i2i−2i2i−2i2i−2i-2211-1-1000000−ii−ii0000−2i32i3i3−i3i3−i3−23233−33−3000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-2-22222-2-22211-1-12i−2i2i−2i2i−2i2i−2i-2211-1-1000000−ii−ii00002i3−2i3−i3i3−i3i323−23−33−33000000000000000000000000000000000000
χ854-44-444000000-4-44-44-400004-44-400000000000000004-4000000000000000000000000000000004-4000000000000000000000000
χ864-44-444000000-4-44-44-400004-44-40000000000000000-4400000000000000000000000000000000-44000000000000000000000000
χ874-44-4-24000000-42-224-423−2323−23-22-22000000000023−2323−23004-400000000000000000000000000000000-2223−230000000000000000000000
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χ914-4-4444000000-4-4-44-4400004-4-44000000000000004-40000000000000000000000000000004-40000000000000000000000000000
χ924-4-4444000000-4-4-44-4400004-4-4400000000000000-44000000000000000000000000000000-440000000000000000000000000000
χ934-4-44-24000000-422-2-4423−23−2323-222-2000000000023−23−23234-4000000000000000000000000000000-2223−2300000000000000000000000000
χ944-4-44-24000000-422-2-4423−23−2323-222-2000000000023−23−2323-440000000000000000000000000000002-2−232300000000000000000000000000
χ954-4-44-24000000-422-2-44−232323−23-222-20000000000−232323−234-4000000000000000000000000000000-22−232300000000000000000000000000
χ964-4-44-24000000-422-2-44−232323−23-222-20000000000−232323−23-440000000000000000000000000000002-223−2300000000000000000000000000
χ978-88-88-40000004-88-8-440000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400000044-44-4443−4343−432-22-20000000000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400000044-44-44−4343−43432-22-2000000000023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000004-8-884-40000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000000444-44-443−43−43432-2-220000000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000000444-44-4−434343−432-2-22000000000023−23−232300000000000000000000000000000000000000000000000000000000000000

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