Finite Group Databasebeta

← Group #11887639

Character table — Group #11887639

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444444666666666666888888888888881212121212121212121212121212121212121616161618182424242424242424242424243636367272
order122233446666668888344446661212121224242424242424242244666612121212121212121212121212122424242444888812121212242424242424242412121212224444121212121212121248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-111-1-111-1-1-1-111111111-1-11-11-111-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111-111-1-111-1-11111-1-1-1-11111-1-1-11-11-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-111
χ71111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-111
χ81111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11-1-11-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-11
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-111-11
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111-1-1-11
χ1411111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1111-1
χ1511111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1111-1
χ1611111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111111-1-111111-1-1-1-11-1-1-11
χ17222222-2-2222222000020000222-2-2-2-20000000022222222222200000000-2-20000-2-20000-2-2-2-200000000000022000000000000-20000
χ18222222-2-2222222000020000222-2-2-2-20000000022-2-22222-2-2-2-200000000-2-200002-2000022-2-2000000000000-2-200000000000020000
χ19222222-2-2222222000020000222-2-2-2-200000000-2-222-2-2-2-2222200000000-2-20000-220000-2-222000000000000-2-200000000000020000
χ20222222-2-2222222000020000222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000220000222200000000000022000000000000-20000
χ2122222-122-12-122-12222-12222-1-1-1-122-12222-1-1-1-12200-1-1-1-10000-1-12222-1-1-1-1-1-1-1-102002200-1-10000-1-1-1-1-1-1-1-1002020-1-10000-1-100000
χ2222222-122-12-122-12222-12222-1-1-1-122-12222-1-1-1-1-2-20011110000-1-12222-1-1-1-1-1-1-1-10-200-2-2001100001111-1-1-1-100-20-201100001100000
χ2322222-122-12-122-12222-1-2-2-2-2-1-1-1-122-12222-1-1-1-12200-1-1-1-1000011-2-2-2-211-1-1-1-1-1-102002200-1-10000-1-1-1-1111100-20-201100001100000
χ2422222-122-12-122-12222-1-2-2-2-2-1-1-1-122-12222-1-1-1-1-2-2001111000011-2-2-2-211-1-1-1-1-1-10-200-2-20011000011111111002020-1-10000-1-100000
χ2522222-122-12-122-1-2-2-2-2-122-2-2-1-1-1-122-1-2-2-2-211112200-1-1-1-10000-1-1-2-22211-1-111110200-2-200-1-100001111-1-1110020-20-1-100001100000
χ2622222-122-12-122-1-2-2-2-2-122-2-2-1-1-1-122-1-2-2-2-21111-2-20011110000-1-1-2-22211-1-111110-2002200110000-1-1-1-1-1-11100-2020110000-1-100000
χ2722222-122-12-122-1-2-2-2-2-1-2-222-1-1-1-122-1-2-2-2-211112200-1-1-1-100001122-2-2-1-1-1-111110200-2-200-1-10000111111-1-100-2020110000-1-100000
χ2822222-122-12-122-1-2-2-2-2-1-2-222-1-1-1-122-1-2-2-2-21111-2-200111100001122-2-2-1-1-1-111110-2002200110000-1-1-1-111-1-10020-20-1-100001100000
χ292222-12222-12-1-122222-12222-1-1-12-1-12-1-1-1-1222200220000-1-1-1-122-1-1-1-122-1-1-1-1-1-1202200-1-100-1-1-1-10000-1-1-1-100020200-1-1-1-10000000
χ302222-12222-12-1-122222-12222-1-1-12-1-12-1-1-1-1222200-2-20000111122-1-1-1-122-1-1-1-1-1-1-20-2-200110011110000-1-1-1-1000-20-20011110000000
χ312222-12222-12-1-122222-1-2-2-2-2-1-1-12-1-12-1-1-1-1222200220000-1-1-1-1-2-21111-2-2-1-1-1-1-1-1202200-1-100-1-1-1-100001111000-20-20011110000000
χ322222-12222-12-1-122222-1-2-2-2-2-1-1-12-1-12-1-1-1-1222200-2-200001111-2-21111-2-2-1-1-1-1-1-1-20-2-200110011110000111100020200-1-1-1-10000000
χ332222-12222-12-1-12-2-2-2-2-122-2-2-1-1-12-1-121111-2-2-2-200220000-1-1-1-12211-1-1-2-2-1-1111120-2-200-1-10011110000-1-111000-20200-1-1110000000
χ342222-12222-12-1-12-2-2-2-2-122-2-2-1-1-12-1-121111-2-2-2-200-2-2000011112211-1-1-2-2-1-11111-2022001100-1-1-1-10000-1-11100020-20011-1-10000000
χ352222-12222-12-1-12-2-2-2-2-1-2-222-1-1-12-1-121111-2-2-2-200220000-1-1-1-1-2-2-1-11122-1-1111120-2-200-1-1001111000011-1-100020-20011-1-10000000
χ362222-12222-12-1-12-2-2-2-2-1-2-222-1-1-12-1-121111-2-2-2-200-2-200001111-2-2-1-11122-1-11111-2022001100-1-1-1-1000011-1-1000-20200-1-1110000000
χ3722-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−22-22-222-2-222-2-2000000000022−2−2002−22−2000022−2−222−2−200002-200000000000002−200
χ3822-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−22-2-2222-2-2-2-222000000000022−2−200−222−20000−2−22222−2−20000-220000000000000−2200
χ3922-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−2-222-2-2-22222-2-2000000000022−2−2002−2−22000022−2−2−2−2220000-220000000000000−2200
χ4022-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−2-22-22-2-222-2-222000000000022−2−200−22−220000−2−222−2−22200002-200000000000002−200
χ4122-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−2222-22-222-2-222-2-20000000000−2−22200−22−220000−2−222−2−22200002-20000000000000−2200
χ4222-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−2222-2-2222-2-2-2-2220000000000−2−222002−2−22000022−2−2−2−2220000-2200000000000002−200
χ4322-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−222-222-2-2-22222-2-20000000000−2−22200−222−20000−2−22222−2−20000-2200000000000002−200
χ4422-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−222-22-22-2-222-2-2220000000000−2−222002−22−2000022−2−222−2−200002-20000000000000−2200
χ452-2-22222-2-2-2-22-222i−2i2i−2i22i−2i2-2-2-222-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2-22i−2i2-22-22i−2i2i−2i0000000000000000002i−2i2-20000000000000000000
χ462-2-22222-2-2-2-22-222i−2i2i−2i2−2i2i-22-2-222-22-22i−2i2i−2i2i−2i2i−2i000000000000−2i2i-22−2i2i-222-22i−2i2i−2i000000000000000000−2i2i-220000000000000000000
χ472-2-22222-2-2-2-22-22−2i2i−2i2i22i−2i-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i0000000000002i−2i-222i−2i-222-2−2i2i−2i2i0000000000000000002i−2i-220000000000000000000
χ482-2-22222-2-2-2-22-22−2i2i−2i2i2−2i2i2-2-2-222-22-2−2i2i−2i2i−2i2i−2i2i000000000000−2i2i2-2−2i2i2-22-2−2i2i−2i2i000000000000000000−2i2i2-20000000000000000000
χ492-2-222-12-21-212-2-12i−2i2i−2i-12i−2i2-211-1-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i30000−ii2-22i−2i-11-11−ii−ii00000000−i3i300003−33−3−ii-110000003−30000−i3i300000
χ502-2-222-12-21-212-2-12i−2i2i−2i-12i−2i2-211-1-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i30000−ii2-22i−2i-11-11−ii−ii00000000i3−i30000−33−33−ii-11000000−330000i3−i300000
χ512-2-222-12-21-212-2-12i−2i2i−2i-1−2i2i-2211-1-1-2212i−2i2i−2i−ii−ii0000−i3i3−i3i30000i−i-22−2i2i1-1-11−ii−ii00000000−i3i300003−33−3i−i1-1000000−330000i3−i300000
χ522-2-222-12-21-212-2-12i−2i2i−2i-1−2i2i-2211-1-1-2212i−2i2i−2i−ii−ii0000i3−i3i3−i30000i−i-22−2i2i1-1-11−ii−ii00000000i3−i30000−33−33i−i1-10000003−30000−i3i300000
χ532-2-222-12-21-212-2-1−2i2i−2i2i-12i−2i-2211-1-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i30000−ii-222i−2i1-1-11i−ii−i00000000−i3i30000−33−33−ii1-10000003−30000i3−i300000
χ542-2-222-12-21-212-2-1−2i2i−2i2i-12i−2i-2211-1-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i30000−ii-222i−2i1-1-11i−ii−i00000000i3−i300003−33−3−ii1-1000000−330000−i3i300000
χ552-2-222-12-21-212-2-1−2i2i−2i2i-1−2i2i2-211-1-1-221−2i2i−2i2ii−ii−i0000−i3i3−i3i30000i−i2-2−2i2i-11-11i−ii−i00000000−i3i30000−33−33i−i-11000000−330000−i3i300000
χ562-2-222-12-21-212-2-1−2i2i−2i2i-1−2i2i2-211-1-1-221−2i2i−2i2ii−ii−i0000i3−i3i3−i30000i−i2-2−2i2i-11-11i−ii−i00000000i3−i300003−33−3i−i-110000003−30000i3−i300000
χ572-2-22-122-2-21-2-1122i−2i2i−2i-12i−2i2-211-121-1-2−ii−ii2i−2i2i−2i000000003−33−32i−2i-11−ii2-2-11−ii−ii0000003−300−i3i3−i3i30000−ii-1100000000−i3i33−30000000
χ582-2-22-122-2-21-2-1122i−2i2i−2i-12i−2i2-211-121-1-2−ii−ii2i−2i2i−2i00000000−33−332i−2i-11−ii2-2-11−ii−ii000000−3300i3−i3i3−i30000−ii-1100000000i3−i3−330000000
χ592-2-22-122-2-21-2-1122i−2i2i−2i-1−2i2i-2211-121-1-2−ii−ii2i−2i2i−2i000000003−33−3−2i2i1-1i−i-22-11−ii−ii0000003−300−i3i3−i3i30000i−i1-100000000i3−i3−330000000
χ602-2-22-122-2-21-2-1122i−2i2i−2i-1−2i2i-2211-121-1-2−ii−ii2i−2i2i−2i00000000−33−33−2i2i1-1i−i-22-11−ii−ii000000−3300i3−i3i3−i30000i−i1-100000000−i3i33−30000000
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χ632-2-22-122-2-21-2-112−2i2i−2i2i-1−2i2i2-211-121-1-2i−ii−i−2i2i−2i2i000000003−33−3−2i2i-11i−i2-2-11i−ii−i0000003−300i3−i3i3−i30000i−i-1100000000i3−i33−30000000
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χ704444-2-244-2-2-2-2-2-244441-4-4-4-4111-2-2-2-2-2-2-2-2-2-2-2-200000000000022222222111111000000000000000000-1-1-1-10000000000000000000
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χ7444-4-44-200-242-4-422222−22−22-20000-22200002222−22−22−2−222-440022-2-200000000000000−2−2220000−22220000000022−2−200000000000000000000000
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χ7744-4-4-24004-2-422-42222−22−22-20000-2220000−2−2222222−22−22004-40000-2-2220000000000−2−2220022−22000000−2−222000000000000000000000000000
χ7844-4-4-24004-2-422-42222−22−22-20000-2220000−2−2222222−22−2200-44000022-2-20000000000−2−22200−222200000022−2−2000000000000000000000000000
χ7944-4-4-24004-2-422-4−22−222222-20000-222000022−2−2−22−222222004-40000-2-222000000000022−2−200−222200000022−2−2000000000000000000000000000
χ8044-4-4-24004-2-422-4−22−222222-20000-222000022−2−2−22−22222200-44000022-2-2000000000022−2−20022−22000000−2−222000000000000000000000000000
χ814-44-44400-4-44-44-4−2i22i22i2−2i240000-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000
χ824-44-44400-4-44-44-42i2−2i2−2i22i240000-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000
χ834-44-44-2002-4-2-442−2i22i22i2−2i2-200002-220000−2i22i22i2−2i2i2−i2−i2i20000−2i32i32i3−2i300000000000000i2−i2−i2i200000000000000−666−600000000000000000000000
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χ854-44-44-2002-4-2-4422i2−2i2−2i22i2-200002-2200002i2−2i2−2i22i2−i2i2i2−i20000−2i32i32i3−2i300000000000000−i2i2i2−i2000000000000006−6−6600000000000000000000000
χ864-44-44-2002-4-2-4422i2−2i2−2i22i2-200002-2200002i2−2i2−2i22i2−i2i2i2−i200002i3−2i3−2i32i300000000000000−i2i2i2−i200000000000000−666−600000000000000000000000
χ874-44-4-2400-4242-2-4−2i22i22i2−2i2-200002-220000i2−i2−i2i2−2i22i22i2−2i20000000023−23−23230000000000i2−i2−i2i20000000000i6−i6−i6i6000000000000000000000000000
χ884-44-4-2400-4242-2-4−2i22i22i2−2i2-200002-220000i2−i2−i2i2−2i22i22i2−2i200000000−232323−230000000000i2−i2−i2i20000000000−i6i6i6−i6000000000000000000000000000
χ894-44-4-2400-4242-2-42i2−2i2−2i22i2-200002-220000−i2i2i2−i22i2−2i2−2i22i20000000023−23−23230000000000−i2i2i2−i20000000000−i6i6i6−i6000000000000000000000000000
χ904-44-4-2400-4242-2-42i2−2i2−2i22i2-200002-220000−i2i2i2−i22i2−2i2−2i22i200000000−232323−230000000000−i2i2i2−i20000000000i6−i6−i6i6000000000000000000000000000
χ914-4-4444-44-4-4-44-44000040000-4-44-44-440000000000000000000000000000-44000000000000000000000000000000000000000000000
χ924-4-444-2-442-424-4-20000-2000022-224-4-2000000000000−2i32i3−2i32i30000000000002-20000000000002i3−2i30000000000000000000000000000000
χ934-4-444-2-442-424-4-20000-2000022-224-4-20000000000002i3−2i32i3−2i30000000000002-2000000000000−2i32i30000000000000000000000000000000
χ944-4-44-24-44-42-4-2240000-2000022-2-4-224000000000000000023−2323−23000000002-20000000000−2323000000000000000000000000000000000
χ954-4-44-24-44-42-4-2240000-2000022-2-4-2240000000000000000−2323−2323000000002-2000000000023−23000000000000000000000000000000000
χ964-4-44-2-24-4222-22-24i−4i4i−4i14i−4i4-4-1-11-22-22−2i2i−2i2i−2i2i−2i2i000000000000−2i2i-22−2i2i-221-1i−ii−i000000000000000000i−i1-10000000000000000000
χ974-4-44-2-24-4222-22-24i−4i4i−4i1−4i4i-44-1-11-22-22−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2-22i−2i2-21-1i−ii−i000000000000000000−ii-110000000000000000000
χ984-4-44-2-24-4222-22-2−4i4i−4i4i14i−4i-44-1-11-22-222i−2i2i−2i2i−2i2i−2i000000000000−2i2i2-2−2i2i2-21-1−ii−ii000000000000000000i−i-110000000000000000000
χ994-4-44-2-24-4222-22-2−4i4i−4i4i1−4i4i4-4-1-11-22-222i−2i2i−2i2i−2i2i−2i0000000000002i−2i-222i−2i-221-1−ii−ii000000000000000000−ii1-10000000000000000000
χ1008888-4-4-8-8-4-4-4-4-4-400002000022244440000000000000000000000000000-2-2000000000000000000000000000000000000000000000
χ10188-8-8-4-400-4-444444242−42−42200002-2-20000−22−222222−22−222222000000000000000000000022−2−200000000000000000000000000000000000000000
χ10288-8-8-4-400-4-44444−42−424242200002-2-200002222−22−222222−22−220000000000000000000000−2−22200000000000000000000000000000000000000000
χ1038-88-8-4-40044-44-44−4i24i24i2−4i220000-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000000000000000000000000000000000000
χ1048-88-8-4-40044-44-444i2−4i2−4i24i220000-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000000000000000000000000000000000000
χ1058-8-88-4-4-88444-44-4000020000-2-224-44-40000000000000000000000000000-22000000000000000000000000000000000000000000000

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