Finite Group Databasebeta

← Group #11895488

Character table — Group #11895488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444444666666666666888888888888881212121212121212121212121212121212121616161618182424242424242424242424243636367272
order1222334466666688883444466612121212242424242424242444441212121212121212121212121212121212122424242444888812121212242424242424242412121212444444121212121212121248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111111-111-1-111-1-11111-1-1-1-11111-1-11-11-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-1111111111111111111-11-1-111-1-111-1-1-1-111111111-1-1-11-11-1-111-1-111-1-1-1-1-1
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
χ61111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-111
χ71111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-111
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
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-11
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1111-1
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-111-1111-1
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-11111-1-1-1-11-1-1-11
χ1311111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-1
χ1411111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11
χ1511111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-11
χ1611111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1-1-111111-1-11-1
χ17222222-2-2222222000020000222-2-2-2-20000000022222222222200000000-2-20000-2-20000-2-2-2-200000000000022000000000000-20000
χ18222222-2-2222222000020000222-2-2-2-20000000022-2-22222-2-2-2-200000000-2-20000-220000-2-222000000000000-2-200000000000020000
χ19222222-2-2222222000020000222-2-2-2-200000000-2-222-2-2-2-2222200000000-2-200002-2000022-2-2000000000000-2-200000000000020000
χ20222222-2-2222222000020000222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000220000222200000000000022000000000000-20000
χ2122222-1222-12-12-12222-12222-1-1-12-12-12222-1-1-1-100220000-1-1-1-122-1-122-1-1-1-1-1-1-1-102002200-1-10000-1-1-1-1-1-1-1-100020200-1-100-1-100000
χ2222222-1222-12-12-12222-12222-1-1-12-12-12222-1-1-1-100-2-20000111122-1-122-1-1-1-1-1-1-1-10-200-2-2001100001111-1-1-1-1000-20-20011001100000
χ2322222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-12222-1-1-1-100220000-1-1-1-1-2-211-2-211-1-1-1-1-1-102002200-1-10000-1-1-1-11111000-20-20011001100000
χ2422222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-12222-1-1-1-100-2-200001111-2-211-2-211-1-1-1-1-1-10-200-2-2001100001111111100020200-1-100-1-100000
χ2522222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-2-2-2111100220000-1-1-1-122-1-1-2-211-1-111110200-2-200-1-10000111111-1-1000-202001100-1-100000
χ2622222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-2-2-2111100-2-20000111122-1-1-2-211-1-111110-2002200110000-1-1-1-111-1-100020-200-1-1001100000
χ2722222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-2-2-2111100220000-1-1-1-1-2-21122-1-1-1-111110200-2-200-1-100001111-1-11100020-200-1-1001100000
χ2822222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-2-2-2111100-2-200001111-2-21122-1-1-1-111110-2002200110000-1-1-1-1-1-111000-202001100-1-100000
χ292222-1222-12-12-122222-12222-1-1-1-12-12-1-1-1-122222200-1-1-1-10000-1-122-1-122-1-1-1-1-1-1202200-1-100-1-1-1-10000-1-1-1-1002020-1-100-1-10000000
χ302222-1222-12-12-122222-12222-1-1-1-12-12-1-1-1-12222-2-20011110000-1-122-1-122-1-1-1-1-1-1-20-2-200110011110000-1-1-1-100-20-201100110000000
χ312222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-1-1-122222200-1-1-1-1000011-2-211-2-2-1-1-1-1-1-1202200-1-100-1-1-1-10000111100-20-201100110000000
χ322222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-1-1-12222-2-2001111000011-2-211-2-2-1-1-1-1-1-1-20-2-2001100111100001111002020-1-100-1-10000000
χ332222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-121111-2-2-2-22200-1-1-1-10000-1-12211-2-2-1-1111120-2-200-1-1001111000011-1-100-20201100-1-10000000
χ342222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-121111-2-2-2-2-2-20011110000-1-12211-2-2-1-11111-2022001100-1-1-1-1000011-1-10020-20-1-100110000000
χ352222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-121111-2-2-2-22200-1-1-1-1000011-2-2-1-122-1-1111120-2-200-1-10011110000-1-1110020-20-1-100110000000
χ362222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-121111-2-2-2-2-2-2001111000011-2-2-1-122-1-11111-2022001100-1-1-1-10000-1-11100-20201100-1-10000000
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
χ3822-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−22-2-2222-2-2-2-222000000000022−2−2002−2−22000022−2−2−2−2220000-220000000000000−2200
χ3922-2-2220022-2-2-2-222−2−2200002-2-2000022−2−222−2−2-222-2-2-22222-2-2000000000022−2−200−222−20000−2−22222−2−20000-220000000000000−2200
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
χ4222-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−2222-2-2222-2-2-2-2220000000000−2−22200−222−20000−2−22222−2−20000-2200000000000002−200
χ4322-2-2220022-2-2-2-2−2−222200002-2-20000−2−222−2−222-222-2-2-22222-2-20000000000−2−222002−2−22000022−2−2−2−2220000-2200000000000002−200
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
χ452-22-222-22-2-222-2-22i−2i2i−2i22-22i−2i-2-22-2-2222i−2i2i−2i2i−2i2i−2i0000000000002-22-22i−2i2i−2i2-22i−2i2i−2i0000000000000000002i−2i2-20000000000000000000
χ462-22-222-22-2-222-2-22i−2i2i−2i2-22−2i2i-2-22-2-2222i−2i2i−2i2i−2i2i−2i000000000000-22-22−2i2i−2i2i2-22i−2i2i−2i000000000000000000−2i2i-220000000000000000000
χ472-22-222-22-2-222-2-2−2i2i−2i2i22-2−2i2i-2-22-2-222−2i2i−2i2i−2i2i−2i2i0000000000002-22-2−2i2i−2i2i2-2−2i2i−2i2i000000000000000000−2i2i2-20000000000000000000
χ482-22-222-22-2-222-2-2−2i2i−2i2i2-222i−2i-2-22-2-222−2i2i−2i2i−2i2i−2i2i000000000000-22-222i−2i2i−2i2-2−2i2i−2i2i0000000000000000002i−2i-220000000000000000000
χ492-22-22-1-22-212-1-212i−2i2i−2i-12-22i−2i11-1-212-12i−2i2i−2i−ii−ii000000003−33−32-2-112i−2i−ii-11−ii−ii000000003−30000−i3i3−i3i3−ii-1100000000−i3i3003−300000
χ502-22-22-1-22-212-1-212i−2i2i−2i-12-22i−2i11-1-212-12i−2i2i−2i−ii−ii00000000−33−332-2-112i−2i−ii-11−ii−ii00000000−330000i3−i3i3−i3−ii-1100000000i3−i300−3300000
χ512-22-22-1-22-212-1-212i−2i2i−2i-1-22−2i2i11-1-212-12i−2i2i−2i−ii−ii000000003−33−3-221-1−2i2ii−i-11−ii−ii000000003−30000−i3i3−i3i3i−i1-100000000i3−i300−3300000
χ522-22-22-1-22-212-1-212i−2i2i−2i-1-22−2i2i11-1-212-12i−2i2i−2i−ii−ii00000000−33−33-221-1−2i2ii−i-11−ii−ii00000000−330000i3−i3i3−i3i−i1-100000000−i3i3003−300000
χ532-22-22-1-22-212-1-21−2i2i−2i2i-12-2−2i2i11-1-212-1−2i2i−2i2ii−ii−i000000003−33−32-2-11−2i2ii−i-11i−ii−i000000003−30000i3−i3i3−i3i−i-1100000000i3−i3003−300000
χ542-22-22-1-22-212-1-21−2i2i−2i2i-12-2−2i2i11-1-212-1−2i2i−2i2ii−ii−i00000000−33−332-2-11−2i2ii−i-11i−ii−i00000000−330000−i3i3−i3i3i−i-1100000000−i3i300−3300000
χ552-22-22-1-22-212-1-21−2i2i−2i2i-1-222i−2i11-1-212-1−2i2i−2i2ii−ii−i000000003−33−3-221-12i−2i−ii-11i−ii−i000000003−30000i3−i3i3−i3−ii1-100000000−i3i300−3300000
χ562-22-22-1-22-212-1-21−2i2i−2i2i-1-222i−2i11-1-212-1−2i2i−2i2ii−ii−i00000000−33−33-221-12i−2i−ii-11i−ii−i00000000−330000−i3i3−i3i3−ii1-100000000i3−i3003−300000
χ572-22-2-12-221-2-121-22i−2i2i−2i-12-22i−2i11-11-2-12−ii−ii2i−2i2i−2i00003−33−30000-112-2−ii2i−2i-11−ii−ii0000003−300−i3i3−i3i30000−ii-11000000−i3i3003−30000000
χ582-22-2-12-221-2-121-22i−2i2i−2i-12-22i−2i11-11-2-12−ii−ii2i−2i2i−2i0000−33−330000-112-2−ii2i−2i-11−ii−ii000000−3300i3−i3i3−i30000−ii-11000000i3−i300−330000000
χ592-22-2-12-221-2-121-22i−2i2i−2i-1-22−2i2i11-11-2-12−ii−ii2i−2i2i−2i00003−33−300001-1-22i−i−2i2i-11−ii−ii0000003−300−i3i3−i3i30000i−i1-1000000i3−i300−330000000
χ602-22-2-12-221-2-121-22i−2i2i−2i-1-22−2i2i11-11-2-12−ii−ii2i−2i2i−2i0000−33−3300001-1-22i−i−2i2i-11−ii−ii000000−3300i3−i3i3−i30000i−i1-1000000−i3i3003−30000000
χ612-22-2-12-221-2-121-2−2i2i−2i2i-12-2−2i2i11-11-2-12i−ii−i−2i2i−2i2i00003−33−30000-112-2i−i−2i2i-11i−ii−i0000003−300i3−i3i3−i30000i−i-11000000i3−i3003−30000000
χ622-22-2-12-221-2-121-2−2i2i−2i2i-12-2−2i2i11-11-2-12i−ii−i−2i2i−2i2i0000−33−330000-112-2i−i−2i2i-11i−ii−i000000−3300−i3i3−i3i30000i−i-11000000−i3i300−330000000
χ632-22-2-12-221-2-121-2−2i2i−2i2i-1-222i−2i11-11-2-12i−ii−i−2i2i−2i2i00003−33−300001-1-22−ii2i−2i-11i−ii−i0000003−300i3−i3i3−i30000−ii1-1000000−i3i300−330000000
χ642-22-2-12-221-2-121-2−2i2i−2i2i-1-222i−2i11-11-2-12i−ii−i−2i2i−2i2i0000−33−3300001-1-22−ii2i−2i-11i−ii−i000000−3300−i3i3−i3i30000−ii1-1000000i3−i3003−30000000
χ6544444-2-4-44-24-24-20000-20000-2-2-2-42-420000000000440000-2-2-2-2000000002200000-4000000220000000000000000000000000000000
χ6644444-2-4-44-24-24-20000-20000-2-2-2-42-420000000000-4-4000022220000000022000004000000-2-20000000000000000000000000000000
χ674444-24-4-4-24-24-240000-20000-2-2-22-42-4000000004400-2-2-2-2000000000000220000-40000022000000000000000000000000000000000
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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
χ714444-2-244-2-2-2-2-2-2-4-4-4-4144-4-4111-2-2-2-222222222000000000000-2-2-2-2222211-1-1-1-1000000000000000000-1-1110000000000000000000
χ724444-2-244-2-2-2-2-2-2-4-4-4-41-4-444111-2-2-2-2222222220000000000002222-2-2-2-211-1-1-1-100000000000000000011-1-10000000000000000000
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χ7744-4-4-2400-242-42-42222−22−22-20000-2220000−2−2222222−22−224-400-2-22200000000000000−2−2220022−22000000−2−222000000000000000000000000000
χ7844-4-4-2400-242-42-42222−22−22-20000-2220000−2−2222222−22−22-440022-2-200000000000000−2−22200−222200000022−2−2000000000000000000000000000
χ7944-4-4-2400-242-42-4−22−222222-20000-222000022−2−2−22−2222224-400-2-2220000000000000022−2−200−222200000022−2−2000000000000000000000000000
χ8044-4-4-2400-242-42-4−22−222222-20000-222000022−2−2−22−222222-440022-2-20000000000000022−2−20022−22000000−2−222000000000000000000000000000
χ814-44-4444-4-4-444-4-4000040000-4-4444-4-40000000000000000000000000000-44000000000000000000000000000000000000000000000
χ824-44-44-24-4-424-2-420000-2000022-24-2-42000000000000000023−2323−23000000002-2000000000000−23230000000000000000000000000000000
χ834-44-44-24-4-424-2-420000-2000022-24-2-420000000000000000−2323−2323000000002-200000000000023−230000000000000000000000000000000
χ844-44-4-244-42-4-242-40000-2000022-2-242-400000000000023−2323−230000000000002-20000000000−2323000000000000000000000000000000000
χ854-44-4-244-42-4-242-40000-2000022-2-242-4000000000000−2323−23230000000000002-2000000000023−23000000000000000000000000000000000
χ864-44-4-2-2-4422-2-2224i−4i4i−4i14-44i−4i-1-1122-2-2−2i2i−2i2i−2i2i−2i2i000000000000-22-22−2i2i−2i2i1-1i−ii−i000000000000000000i−i1-10000000000000000000
χ874-44-4-2-2-4422-2-2224i−4i4i−4i1-44−4i4i-1-1122-2-2−2i2i−2i2i−2i2i−2i2i0000000000002-22-22i−2i2i−2i1-1i−ii−i000000000000000000−ii-110000000000000000000
χ884-44-4-2-2-4422-2-222−4i4i−4i4i14-4−4i4i-1-1122-2-22i−2i2i−2i2i−2i2i−2i000000000000-22-222i−2i2i−2i1-1−ii−ii000000000000000000−ii1-10000000000000000000
χ894-44-4-2-2-4422-2-222−4i4i−4i4i1-444i−4i-1-1122-2-22i−2i2i−2i2i−2i2i−2i0000000000002-22-2−2i2i−2i2i1-1−ii−ii000000000000000000i−i-110000000000000000000
χ904-4-444400-4-4-4-444−2i22i22i2−2i240000-44-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000
χ914-4-444400-4-4-4-4442i2−2i2−2i22i240000-44-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000
χ924-4-444-200-42-424-2−2i22i22i2−2i2-200002-220000−2i22i22i2−2i2i2−i2−i2i20000000023−23−23230000000000i2−i2−i2i200000000000000i6−i6−i6i600000000000000000000000
χ934-4-444-200-42-424-2−2i22i22i2−2i2-200002-220000−2i22i22i2−2i2i2−i2−i2i200000000−232323−230000000000i2−i2−i2i200000000000000−i6i6i6−i600000000000000000000000
χ944-4-444-200-42-424-22i2−2i2−2i22i2-200002-2200002i2−2i2−2i22i2−i2i2i2−i20000000023−23−23230000000000−i2i2i2−i200000000000000−i6i6i6−i600000000000000000000000
χ954-4-444-200-42-424-22i2−2i2−2i22i2-200002-2200002i2−2i2−2i22i2−i2i2i2−i200000000−232323−230000000000−i2i2i2−i200000000000000i6−i6−i6i600000000000000000000000
χ964-4-44-24002-42-4-24−2i22i22i2−2i2-200002-220000i2−i2−i2i2−2i22i22i2−2i2000023−23−232300000000000000i2−i2−i2i20000000000i6−i6−i6i6000000000000000000000000000
χ974-4-44-24002-42-4-24−2i22i22i2−2i2-200002-220000i2−i2−i2i2−2i22i22i2−2i20000−232323−2300000000000000i2−i2−i2i20000000000−i6i6i6−i6000000000000000000000000000
χ984-4-44-24002-42-4-242i2−2i2−2i22i2-200002-220000−i2i2i2−i22i2−2i2−2i22i2000023−23−232300000000000000−i2i2i2−i20000000000−i6i6i6−i6000000000000000000000000000
χ994-4-44-24002-42-4-242i2−2i2−2i22i2-200002-220000−i2i2i2−i22i2−2i2−2i22i20000−232323−2300000000000000−i2i2i2−i20000000000i6−i6−i6i6000000000000000000000000000
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
χ1038-88-8-4-48-844-4-444000020000-2-22-4-4440000000000000000000000000000-22000000000000000000000000000000000000000000000
χ1048-8-88-4-4004444-4-4−4i24i24i2−4i220000-22-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000000000000000000000000000000000000
χ1058-8-88-4-4004444-4-44i2−4i2−4i24i220000-22-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000000000000000000000000000000000000

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