Finite Group Databasebeta

← Group #11898374

Character table — Group #11898374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444444666666666666888888888888881212121212121212121212121212121212121616161618182424242424242424242424243636367272
order1222334466666688883444466612121212242424242424242444441212121212121212121212121212121212122424242444888812121212242424242424242412121212444444121212121212121248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111111-111-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-1111111111111111111-11-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1
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
χ61111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111
χ71111111111111111111-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
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
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-11-111-1-111-1-11-1-11-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-11
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-11-11-1-111-1-1111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-1-1-11
χ1411111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1111-1
χ1511111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-111111-11-111-1-111-1-11-1-1-11
χ17222222-2-2222222000020000222-2-2-2-20000000022222222222200000000-2-20000-2-20000-2-2-2-200000000000022000000000000-20000
χ18222222-2-2222222000020000222-2-2-2-20000000022-2-22222-2-2-2-200000000-2-20000-220000-2-222000000000000-2-200000000000020000
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
χ2122222-1222-12-12-12222-12222-1-1-12-12-12222-1-1-1-100220000-1-1-1-122-1-122-1-1-1-1-1-1-1-102002200-1-10000-1-1-1-1-1-1-1-10000220000-1-1-1-100000
χ2222222-1222-12-12-12222-12222-1-1-12-12-12222-1-1-1-100-2-20000111122-1-122-1-1-1-1-1-1-1-10-200-2-2001100001111-1-1-1-10000-2-20000111100000
χ2322222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-12222-1-1-1-100220000-1-1-1-1-2-211-2-211-1-1-1-1-1-102002200-1-10000-1-1-1-111110000-2-20000111100000
χ2422222-1222-12-12-12222-1-2-2-2-2-1-1-12-12-12222-1-1-1-100-2-200001111-2-211-2-211-1-1-1-1-1-10-200-2-200110000111111110000220000-1-1-1-100000
χ2522222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-2-2-2111100220000-1-1-1-122-1-1-2-211-1-111110200-2-200-1-100001111-1-11100002-20000-1-11100000
χ2622222-1222-12-12-1-2-2-2-2-122-2-2-1-1-12-12-1-2-2-2-2111100-2-20000111122-1-1-2-211-1-111110-2002200110000-1-1-1-1-1-1110000-22000011-1-100000
χ2722222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-2-2-2111100220000-1-1-1-1-2-21122-1-1-1-111110200-2-200-1-10000111111-1-10000-22000011-1-100000
χ2822222-1222-12-12-1-2-2-2-2-1-2-222-1-1-12-12-1-2-2-2-2111100-2-200001111-2-21122-1-1-1-111110-2002200110000-1-1-1-111-1-100002-20000-1-11100000
χ292222-1222-12-12-122222-12222-1-1-1-12-12-1-1-1-122222200-1-1-1-10000-1-122-1-122-1-1-1-1-1-1202200-1-100-1-1-1-10000-1-1-1-1002200-1-1-1-1000000000
χ302222-1222-12-12-122222-12222-1-1-1-12-12-1-1-1-12222-2-20011110000-1-122-1-122-1-1-1-1-1-1-20-2-200110011110000-1-1-1-100-2-2001111000000000
χ312222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-1-1-122222200-1-1-1-1000011-2-211-2-2-1-1-1-1-1-1202200-1-100-1-1-1-10000111100-2-2001111000000000
χ322222-1222-12-12-122222-1-2-2-2-2-1-1-1-12-12-1-1-1-12222-2-2001111000011-2-211-2-2-1-1-1-1-1-1-20-2-2001100111100001111002200-1-1-1-1000000000
χ332222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-121111-2-2-2-22200-1-1-1-10000-1-12211-2-2-1-1111120-2-200-1-10011110000-1-111002-200-1-111000000000
χ342222-1222-12-12-12-2-2-2-2-122-2-2-1-1-1-12-121111-2-2-2-2-2-20011110000-1-12211-2-2-1-11111-2022001100-1-1-1-10000-1-11100-220011-1-1000000000
χ352222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-121111-2-2-2-22200-1-1-1-1000011-2-2-1-122-1-1111120-2-200-1-1001111000011-1-100-220011-1-1000000000
χ362222-1222-12-12-12-2-2-2-2-1-2-222-1-1-1-12-121111-2-2-2-2-2-2001111000011-2-2-1-122-1-11111-2022001100-1-1-1-1000011-1-1002-200-1-111000000000
χ372-22-22200-2-222-2-222−2−220000-2-22000022−2−222−2−22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000022−2−200−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200002-200000000000002−200
χ382-22-22200-2-222-2-222−2−220000-2-22000022−2−222−2−22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000022−2−200−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i20000-220000000000000−2200
χ392-22-22200-2-222-2-222−2−220000-2-22000022−2−222−2−2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000022−2−200i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i20000-220000000000000−2200
χ402-22-22200-2-222-2-222−2−220000-2-22000022−2−222−2−2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000022−2−200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200002-200000000000002−200
χ412-22-22200-2-222-2-2−2−22220000-2-220000−2−222−2−2222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000−2−22200i2−i2i2−i20000i2i2−i2−i2i2i2−i2−i200002-20000000000000−2200
χ422-22-22200-2-222-2-2−2−22220000-2-220000−2−222−2−2222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000−2−22200i2−i2−i2i20000i2i2−i2−i2−i2−i2i2i20000-2200000000000002−200
χ432-22-22200-2-222-2-2−2−22220000-2-220000−2−222−2−222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000−2−22200−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i20000-2200000000000002−200
χ442-22-22200-2-222-2-2−2−22220000-2-220000−2−222−2−222−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000−2−22200−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200002-20000000000000−2200
χ452-2-22222-2-2-2-2-2222-22-222i−2i2i−2i-22-222-2-22-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i-222-22-20000000000000000002i−2i2i−2i0000000000000000000
χ462-2-22222-2-2-2-2-2222-22-22−2i2i−2i2i-22-222-2-22-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i-222-22-2000000000000000000−2i2i−2i2i0000000000000000000
χ472-2-22222-2-2-2-2-222-22-2222i−2i−2i2i-22-222-2-2-22-22-22-220000000000002i−2i2i−2i−2i2i−2i2i-22-22-220000000000000000002i−2i−2i2i0000000000000000000
χ482-2-22222-2-2-2-2-222-22-222−2i2i2i−2i-22-222-2-2-22-22-22-22000000000000−2i2i−2i2i2i−2i2i−2i-22-22-22000000000000000000−2i2i2i−2i0000000000000000000
χ492-2-222-12-2-21-212-12-22-2-12i−2i2i−2i1-112-1-212-22-2-11-11000000003−33−32i−2i−ii2i−2i−ii1-1-11-11000000003−300003−33−3−ii−ii0000000000−i3i3−i3i300000
χ502-2-222-12-2-21-212-12-22-2-12i−2i2i−2i1-112-1-212-22-2-11-1100000000−33−332i−2i−ii2i−2i−ii1-1-11-1100000000−330000−33−33−ii−ii0000000000i3−i3i3−i300000
χ512-2-222-12-2-21-212-12-22-2-1−2i2i−2i2i1-112-1-212-22-2-11-11000000003−33−3−2i2ii−i−2i2ii−i1-1-11-11000000003−300003−33−3i−ii−i0000000000i3−i3i3−i300000
χ522-2-222-12-2-21-212-12-22-2-1−2i2i−2i2i1-112-1-212-22-2-11-1100000000−33−33−2i2ii−i−2i2ii−i1-1-11-1100000000−330000−33−33i−ii−i0000000000−i3i3−i3i300000
χ532-2-222-12-2-21-212-1-22-22-12i−2i−2i2i1-112-1-21-22-221-11-1000000003−33−32i−2i−ii−2i2ii−i1-11-11-1000000003−30000−33−33−iii−i0000000000−i3i3i3−i300000
χ542-2-222-12-2-21-212-1-22-22-12i−2i−2i2i1-112-1-21-22-221-11-100000000−33−332i−2i−ii−2i2ii−i1-11-11-100000000−3300003−33−3−iii−i0000000000i3−i3−i3i300000
χ552-2-222-12-2-21-212-1-22-22-1−2i2i2i−2i1-112-1-21-22-221-11-1000000003−33−3−2i2ii−i2i−2i−ii1-11-11-1000000003−30000−33−33i−i−ii0000000000i3−i3−i3i300000
χ562-2-222-12-2-21-212-1-22-22-1−2i2i2i−2i1-112-1-21-22-221-11-100000000−33−33−2i2ii−i2i−2i−ii1-11-11-100000000−3300003−33−3i−i−ii0000000000−i3i3i3−i300000
χ572-2-22-122-21-21-2-122-22-2-12i−2i2i−2i1-11-121-2-11-112-22-200003−33−30000−ii2i−2i−ii2i−2i1-1-11-110000003−3003−33−30000−ii−ii000000−i3i3−i3i3000000000
χ582-2-22-122-21-21-2-122-22-2-12i−2i2i−2i1-11-121-2-11-112-22-20000−33−330000−ii2i−2i−ii2i−2i1-1-11-11000000−3300−33−330000−ii−ii000000i3−i3i3−i3000000000
χ592-2-22-122-21-21-2-122-22-2-1−2i2i−2i2i1-11-121-2-11-112-22-200003−33−30000i−i−2i2ii−i−2i2i1-1-11-110000003−3003−33−30000i−ii−i000000i3−i3i3−i3000000000
χ602-2-22-122-21-21-2-122-22-2-1−2i2i−2i2i1-11-121-2-11-112-22-20000−33−330000i−i−2i2ii−i−2i2i1-1-11-11000000−3300−33−330000i−ii−i000000−i3i3−i3i3000000000
χ612-2-22-122-21-21-2-12-22-22-12i−2i−2i2i1-11-121-21-11-1-22-2200003−33−30000−ii2i−2ii−i−2i2i1-11-11-10000003−300−33−330000−iii−i000000−i3i3i3−i3000000000
χ622-2-22-122-21-21-2-12-22-22-12i−2i−2i2i1-11-121-21-11-1-22-220000−33−330000−ii2i−2ii−i−2i2i1-11-11-1000000−33003−33−30000−iii−i000000i3−i3−i3i3000000000
χ632-2-22-122-21-21-2-12-22-22-1−2i2i2i−2i1-11-121-21-11-1-22-2200003−33−30000i−i−2i2i−ii2i−2i1-11-11-10000003−300−33−330000i−i−ii000000i3−i3−i3i3000000000
χ642-2-22-122-21-21-2-12-22-22-1−2i2i2i−2i1-11-121-21-11-1-22-220000−33−330000i−i−2i2i−ii2i−2i1-11-11-1000000−33003−33−30000i−i−ii000000−i3i3i3−i3000000000
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
χ684444-24-4-4-24-24-240000-20000-2-2-22-42-400000000-4-4002222000000000000220000400000-2-2000000000000000000000000000000000
χ694444-2-244-2-2-2-2-2-2444414444111-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-2-2-211111100000000000000000011110000000000000000000
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
χ714444-2-244-2-2-2-2-2-2-4-4-4-4144-4-4111-2-2-2-222222222000000000000-2-2-2-2222211-1-1-1-100000000000000000011-1-10000000000000000000
χ724444-2-244-2-2-2-2-2-2-4-4-4-41-4-444111-2-2-2-2222222220000000000002222-2-2-2-211-1-1-1-1000000000000000000-1-1110000000000000000000
χ7344-4-4440044-4-4-4-422−22−2222400004-4-4000022−22−222222−22−2222000000000000000000000022−22−222200000000000000000000000000000000000000000
χ7444-4-4440044-4-4-4-4−222222−22400004-4-40000−222222−22−222222−220000000000000000000000−222222−2200000000000000000000000000000000000000000
χ7544-4-44-2004-2-42-4222−22−2222-20000-222000022−22−2222−222−200000000−2i32i32i3−2i30000000000−222−200000000000000i6−i6−i6i600000000000000000000000
χ7644-4-44-2004-2-42-4222−22−2222-20000-222000022−22−2222−222−2000000002i3−2i3−2i32i30000000000−222−200000000000000−i6i6i6−i600000000000000000000000
χ7744-4-44-2004-2-42-42−222222−22-20000-2220000−222222−222−2−2200000000−2i32i32i3−2i300000000002−2−2200000000000000−i6i6i6−i600000000000000000000000
χ7844-4-44-2004-2-42-42−222222−22-20000-2220000−222222−222−2−22000000002i3−2i3−2i32i300000000002−2−2200000000000000i6−i6−i6i600000000000000000000000
χ7944-4-4-2400-242-42-422−22−2222-20000-2220000−222−222−22−22220000−2i32i32i3−2i300000000000000−222−20000000000i6−i6−i6i6000000000000000000000000000
χ8044-4-4-2400-242-42-422−22−2222-20000-2220000−222−222−22−222200002i3−2i3−2i32i300000000000000−222−20000000000−i6i6i6−i6000000000000000000000000000
χ8144-4-4-2400-242-42-4−222222−22-20000-22200002−2−22−222222−220000−2i32i32i3−2i3000000000000002−2−220000000000−i6i6i6−i6000000000000000000000000000
χ8244-4-4-2400-242-42-4−222222−22-20000-22200002−2−22−222222−2200002i3−2i3−2i32i3000000000000002−2−220000000000i6−i6−i6i6000000000000000000000000000
χ834-44-44-200-424-2-422222−22−22-2000022-200002222−22−22−2−222004i−4i0000−2i−2i2i2i0000000000−2−2220000−2i22i200000000i2i2−i2−i200000000000000000000000
χ844-44-44-200-424-2-422222−22−22-2000022-200002222−22−22−2−22200−4i4i00002i2i−2i−2i0000000000−2−22200002i2−2i200000000−i2−i2i2i200000000000000000000000
χ854-44-44-200-424-2-42−22−222222-2000022-20000−22−22222222−2−2004i−4i0000−2i−2i2i2i000000000022−2−200002i2−2i200000000−i2−i2i2i200000000000000000000000
χ864-44-44-200-424-2-42−22−222222-2000022-20000−22−22222222−2−200−4i4i00002i2i−2i−2i000000000022−2−20000−2i22i200000000i2i2−i2−i200000000000000000000000
χ874-44-4-24002-4-242-42222−22−22-2000022-20000−2−2222222−22−224i−4i00−2i−2i2i2i00000000000000−2−22200−2i22i2000000i2i2−i2−i2000000000000000000000000000
χ884-44-4-24002-4-242-42222−22−22-2000022-20000−2−2222222−22−22−4i4i002i2i−2i−2i00000000000000−2−222002i2−2i2000000−i2−i2i2i2000000000000000000000000000
χ894-44-4-24002-4-242-4−22−222222-2000022-2000022−2−2−22−2222224i−4i00−2i−2i2i2i0000000000000022−2−2002i2−2i2000000−i2−i2i2i2000000000000000000000000000
χ904-44-4-24002-4-242-4−22−222222-2000022-2000022−2−2−22−222222−4i4i002i2i−2i−2i0000000000000022−2−200−2i22i2000000i2i2−i2−i2000000000000000000000000000
χ914-4-4444-44-4-4-4-444000040000-44-4-4-44400000000000000000000000000004-4000000000000000000000000000000000000000000000
χ924-4-444-2-44-42-424-20000-200002-22-424-2000000000000000023−2323−2300000000-22000000000000−23230000000000000000000000000000000
χ934-4-444-2-44-42-424-20000-200002-22-424-20000000000000000−2323−232300000000-2200000000000023−230000000000000000000000000000000
χ944-4-44-24-442-42-4-240000-200002-222-4-2400000000000023−2323−23000000000000-220000000000−2323000000000000000000000000000000000
χ954-4-44-24-442-42-4-240000-200002-222-4-24000000000000−2323−2323000000000000-22000000000023−23000000000000000000000000000000000
χ964-4-44-2-24-42222-2-24-44-414i−4i4i−4i-11-1-2-222-22-22-22-22000000000000−2i2i−2i2i−2i2i−2i2i-111-11-1000000000000000000i−ii−i0000000000000000000
χ974-4-44-2-24-42222-2-24-44-41−4i4i−4i4i-11-1-2-222-22-22-22-220000000000002i−2i2i−2i2i−2i2i−2i-111-11-1000000000000000000−ii−ii0000000000000000000
χ984-4-44-2-24-42222-2-2-44-4414i−4i−4i4i-11-1-2-2222-22-22-22-2000000000000−2i2i−2i2i2i−2i2i−2i-11-11-11000000000000000000i−i−ii0000000000000000000
χ994-4-44-2-24-42222-2-2-44-441−4i4i4i−4i-11-1-2-2222-22-22-22-20000000000002i−2i2i−2i−2i2i−2i2i-11-11-11000000000000000000−iii−i0000000000000000000
χ1008888-4-4-8-8-4-4-4-4-4-400002000022244440000000000000000000000000000-2-2000000000000000000000000000000000000000000000
χ10188-8-8-4-400-4-4444442−42−4242200002-2-20000−222222−22−222222−2200000000000000000000002−2−2200000000000000000000000000000000000000000
χ10288-8-8-4-400-4-44444−424242−42200002-2-2000022−22−222222−22−22220000000000000000000000−222−200000000000000000000000000000000000000000
χ1038-88-8-4-40044-4-4444242−42−4220000-2-220000−22−222222−22−222222000000000000000000000022−2−200000000000000000000000000000000000000000
χ1048-88-8-4-40044-4-444−42−42424220000-2-2200002222−22−222222−22−220000000000000000000000−2−22200000000000000000000000000000000000000000
χ1058-8-88-4-4-884444-4-4000020000-22-244-4-400000000000000000000000000002-2000000000000000000000000000000000000000000000

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