Finite Group Databasebeta

← Group #11887026

Character table — Group #11887026

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444444666666666666888888888888881212121212121212121212121212121212121616161618182424242424242424242424243636367272
order12223344666666888822344666121212122424242424242424224466661212121266661212121212122424242444888812121212242424242424242466121222224466661212121248824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-111-1-111-1-1-1-111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111-111-1-111-1-11111-1-1-1-11111-1-1-11-1111-1-1-1-111-1-1-1-1-1
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
χ5111111111111111111-1-11-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ6111111111111111111-1-11-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-111
χ7111111111111111111-1-11-1-1111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-111
χ8111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1
χ911111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11-1-111-1-1111-1-11-1
χ1011111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-11
χ1111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-111-11
χ1211111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-111-111-111-1-111-1-11-1-11-1
χ1311111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-11-1-1-11
χ1411111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1
χ1511111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1111-1
χ1611111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-111111-1-11-1-111-1-1111-1-1-11
χ17222222-2-2222222000000200222-2-2-2-20000000022222222222200000000-2-20000-2-20000-2-2-2-200000000000022000000000000-20000
χ18222222-2-2222222000000200222-2-2-2-20000000022-2-22222-2-2-2-200000000-2-200002-2000022-2-2000000000000-2-200000000000020000
χ19222222-2-2222222000000200222-2-2-2-200000000-2-222-2-2-2-2222200000000-2-20000-220000-2-222000000000000-2-200000000000020000
χ20222222-2-2222222000000200222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000220000222200000000000022000000000000-20000
χ2122222-122-122-1-12222222-122-1-1-1-122-12222-1-1-1-12200-1-1-1-1000022-1-1-1-122-1-1-1-1-1-102002200-1-10000-1-1-1-1-1-1-1-100202000-1-1-1-10000000
χ2222222-122-122-1-12222222-122-1-1-1-122-12222-1-1-1-1-2-2001111000022-1-1-1-122-1-1-1-1-1-10-200-2-2001100001111-1-1-1-100-20-200011110000000
χ2322222-122-122-1-122222-2-2-1-2-2-1-1-1-122-12222-1-1-1-12200-1-1-1-10000-2-21111-2-2-1-1-1-1-1-102002200-1-10000-1-1-1-1111100-20-200011110000000
χ2422222-122-122-1-122222-2-2-1-2-2-1-1-1-122-12222-1-1-1-1-2-20011110000-2-21111-2-2-1-1-1-1-1-10-200-2-2001100001111111100202000-1-1-1-10000000
χ2522222-122-122-1-12-2-2-2-222-1-2-2-1-1-1-122-1-2-2-2-211112200-1-1-1-1000022-1-111-2-2-1-111110200-2-200-1-100001111-1-1110020-2000-1-1110000000
χ2622222-122-122-1-12-2-2-2-222-1-2-2-1-1-1-122-1-2-2-2-21111-2-2001111000022-1-111-2-2-1-111110-2002200110000-1-1-1-1-1-11100-20200011-1-10000000
χ2722222-122-122-1-12-2-2-2-2-2-2-122-1-1-1-122-1-2-2-2-211112200-1-1-1-10000-2-211-1-122-1-111110200-2-200-1-10000111111-1-100-20200011-1-10000000
χ2822222-122-122-1-12-2-2-2-2-2-2-122-1-1-1-122-1-2-2-2-21111-2-20011110000-2-211-1-122-1-111110-2002200110000-1-1-1-111-1-10020-2000-1-1110000000
χ292222-12222-1-122-1222222-122-1-1-12-1-12-1-1-1-1222200220000-1-1-1-1-1-12222-1-1-1-1-1-1-1-1202200-1-100-1-1-1-10000-1-1-1-1000202-1-10000-1-100000
χ302222-12222-1-122-1222222-122-1-1-12-1-12-1-1-1-1222200-2-200001111-1-12222-1-1-1-1-1-1-1-1-20-2-200110011110000-1-1-1-1000-20-21100001100000
χ312222-12222-1-122-12222-2-2-1-2-2-1-1-12-1-12-1-1-1-1222200220000-1-1-1-111-2-2-2-211-1-1-1-1-1-1202200-1-100-1-1-1-100001111000-20-21100001100000
χ322222-12222-1-122-12222-2-2-1-2-2-1-1-12-1-12-1-1-1-1222200-2-20000111111-2-2-2-211-1-1-1-1-1-1-20-2-2001100111100001111000202-1-10000-1-100000
χ332222-12222-1-122-1-2-2-2-222-1-2-2-1-1-12-1-121111-2-2-2-200220000-1-1-1-1-1-122-2-211-1-1111120-2-200-1-10011110000-1-111000-202110000-1-100000
χ342222-12222-1-122-1-2-2-2-222-1-2-2-1-1-12-1-121111-2-2-2-200-2-200001111-1-122-2-211-1-11111-2022001100-1-1-1-10000-1-11100020-2-1-100001100000
χ352222-12222-1-122-1-2-2-2-2-2-2-122-1-1-12-1-121111-2-2-2-200220000-1-1-1-111-2-222-1-1-1-1111120-2-200-1-1001111000011-1-100020-2-1-100001100000
χ362222-12222-1-122-1-2-2-2-2-2-2-122-1-1-12-1-121111-2-2-2-200-2-20000111111-2-222-1-1-1-11111-2022001100-1-1-1-1000011-1-1000-202110000-1-100000
χ372-22-2222-2-22-22-2-22i2i−2i−2i2-222i−2i-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002-22-22i−2i2i−2i2-22i2i−2i−2i0000000000000000002-22i−2i0000000000000000000
χ382-22-2222-2-22-22-2-22i2i−2i−2i-222−2i2i-22-22-22-22i2i−2i−2i2i2i−2i−2i000000000000-22-22−2i2i−2i2i2-22i2i−2i−2i000000000000000000-22−2i2i0000000000000000000
χ392-22-2222-2-22-22-2-2−2i−2i2i2i2-22−2i2i-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002-22-2−2i2i−2i2i2-2−2i−2i2i2i0000000000000000002-2−2i2i0000000000000000000
χ402-22-2222-2-22-22-2-2−2i−2i2i2i-2222i−2i-22-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000-22-222i−2i2i−2i2-2−2i−2i2i2i000000000000000000-222i−2i0000000000000000000
χ412-22-22-12-212-2-11-22i2i−2i−2i2-2-12i−2i1-11-1-2212i2i−2i−2i−i−iii0000−i3−i3i3i300002-2-11−ii2i−2i-11−i−iii00000000−i3i3000033−3−3-11−ii00000000−i3i33−30000000
χ422-22-22-12-212-2-11-22i2i−2i−2i2-2-12i−2i1-11-1-2212i2i−2i−2i−i−iii0000i3i3−i3−i300002-2-11−ii2i−2i-11−i−iii00000000i3−i30000−3−333-11−ii00000000i3−i3−330000000
χ432-22-22-12-212-2-11-22i2i−2i−2i-22-1−2i2i1-11-1-2212i2i−2i−2i−i−iii0000−i3−i3i3i30000-221-1i−i−2i2i-11−i−iii00000000−i3i3000033−3−31-1i−i00000000i3−i3−330000000
χ442-22-22-12-212-2-11-22i2i−2i−2i-22-1−2i2i1-11-1-2212i2i−2i−2i−i−iii0000i3i3−i3−i30000-221-1i−i−2i2i-11−i−iii00000000i3−i30000−3−3331-1i−i00000000−i3i33−30000000
χ452-22-22-12-212-2-11-2−2i−2i2i2i2-2-1−2i2i1-11-1-221−2i−2i2i2iii−i−i0000−i3−i3i3i300002-2-11i−i−2i2i-11ii−i−i00000000−i3i30000−3−333-11i−i00000000−i3i3−330000000
χ462-22-22-12-212-2-11-2−2i−2i2i2i2-2-1−2i2i1-11-1-221−2i−2i2i2iii−i−i0000i3i3−i3−i300002-2-11i−i−2i2i-11ii−i−i00000000i3−i3000033−3−3-11i−i00000000i3−i33−30000000
χ472-22-22-12-212-2-11-2−2i−2i2i2i-22-12i−2i1-11-1-221−2i−2i2i2iii−i−i0000−i3−i3i3i30000-221-1−ii2i−2i-11ii−i−i00000000−i3i30000−3−3331-1−ii00000000i3−i33−30000000
χ482-22-22-12-212-2-11-2−2i−2i2i2i-22-12i−2i1-11-1-221−2i−2i2i2iii−i−i0000i3i3−i3−i30000-221-1−ii2i−2i-11ii−i−i00000000i3−i3000033−3−31-1−ii00000000−i3i3−330000000
χ492-22-2-122-2-2-112-212i2i−2i−2i2-2-12i−2i1-1121-1-2−i−iii2i2i−2i−2i0000000033−3−3-112-22i−2i−ii-11−i−iii0000003−300−i3−i3i3i30000-11−ii000000−i3i300003−300000
χ502-22-2-122-2-2-112-212i2i−2i−2i2-2-12i−2i1-1121-1-2−i−iii2i2i−2i−2i00000000−3−333-112-22i−2i−ii-11−i−iii000000−3300i3i3−i3−i30000-11−ii000000i3−i30000−3300000
χ512-22-2-122-2-2-112-212i2i−2i−2i-22-1−2i2i1-1121-1-2−i−iii2i2i−2i−2i0000000033−3−31-1-22−2i2ii−i-11−i−iii0000003−300−i3−i3i3i300001-1i−i000000i3−i30000−3300000
χ522-22-2-122-2-2-112-212i2i−2i−2i-22-1−2i2i1-1121-1-2−i−iii2i2i−2i−2i00000000−3−3331-1-22−2i2ii−i-11−i−iii000000−3300i3i3−i3−i300001-1i−i000000−i3i300003−300000
χ532-22-2-122-2-2-112-21−2i−2i2i2i2-2-1−2i2i1-1121-1-2ii−i−i−2i−2i2i2i0000000033−3−3-112-2−2i2ii−i-11ii−i−i0000003−300i3i3−i3−i30000-11i−i000000i3−i300003−300000
χ542-22-2-122-2-2-112-21−2i−2i2i2i2-2-1−2i2i1-1121-1-2ii−i−i−2i−2i2i2i00000000−3−333-112-2−2i2ii−i-11ii−i−i000000−3300−i3−i3i3i30000-11i−i000000−i3i30000−3300000
χ552-22-2-122-2-2-112-21−2i−2i2i2i-22-12i−2i1-1121-1-2ii−i−i−2i−2i2i2i0000000033−3−31-1-222i−2i−ii-11ii−i−i0000003−300i3i3−i3−i300001-1−ii000000−i3i30000−3300000
χ562-22-2-122-2-2-112-21−2i−2i2i2i-22-12i−2i1-1121-1-2ii−i−i−2i−2i2i2i00000000−3−3331-1-222i−2i−ii-11ii−i−i000000−3300−i3−i3i3i300001-1−ii000000i3−i300003−300000
χ572-2-222200-2-2-2-2222−22−200200-2-2200002−22−22−22−22-22-22-22-22-22-200000000002−22−2002−22−200002−22−22−22−200002-200000000000002−200
χ582-2-222200-2-2-2-2222−22−200200-2-2200002−22−22−22−22-2-222-22-2-22-2200000000002−22−200−222−20000−22−222−22−20000-220000000000000−2200
χ592-2-222200-2-2-2-2222−22−200200-2-2200002−22−22−22−2-222-2-22-222-22-200000000002−22−2002−2−2200002−22−2−22−220000-220000000000000−2200
χ602-2-222200-2-2-2-2222−22−200200-2-2200002−22−22−22−2-22-22-22-22-22-2200000000002−22−200−22−220000−22−22−22−2200002-200000000000002−200
χ612-2-222200-2-2-2-222−22−2200200-2-220000−22−22−22−222-22-22-22-22-22-20000000000−22−2200−22−220000−22−22−22−2200002-20000000000000−2200
χ622-2-222200-2-2-2-222−22−2200200-2-220000−22−22−22−222-2-222-22-2-22-220000000000−22−22002−2−2200002−22−2−22−220000-2200000000000002−200
χ632-2-222200-2-2-2-222−22−2200200-2-220000−22−22−22−22-222-2-22-222-22-20000000000−22−2200−222−20000−22−222−22−20000-2200000000000002−200
χ642-2-222200-2-2-2-222−22−2200200-2-220000−22−22−22−22-22-22-22-22-22-220000000000−22−22002−22−200002−22−22−22−200002-20000000000000−2200
χ6544444-2-4-4-244-2-24000000-200-2-2-22-4-42000000004400-2-2-2-20000000000002200000-4000000220000000000000000000000000000000
χ6644444-2-4-4-244-2-24000000-200-2-2-22-4-4200000000-4-400222200000000000022000004000000-2-20000000000000000000000000000000
χ674444-24-4-44-2-244-2000000-200-2-2-2-422-40000000000440000-2-2-2-200000000220000-40000022000000000000000000000000000000000
χ684444-24-4-44-2-244-2000000-200-2-2-2-422-40000000000-4-40000222200000000220000400000-2-2000000000000000000000000000000000
χ694444-2-244-2-2-2-2-2-2444444144111-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-2-2-211111100000000000000000011110000000000000000000
χ704444-2-244-2-2-2-2-2-24444-4-41-4-4111-2-2-2-2-2-2-2-2-2-2-2-200000000000022222222111111000000000000000000-1-1-1-10000000000000000000
χ714444-2-244-2-2-2-2-2-2-4-4-4-4441-4-4111-2-2-2-222222222000000000000-2-2-2-2222211-1-1-1-100000000000000000011-1-10000000000000000000
χ724444-2-244-2-2-2-2-2-2-4-4-4-4-4-4144111-2-2-2-2222222220000000000002222-2-2-2-211-1-1-1-1000000000000000000-1-1110000000000000000000
χ7344-4-444004-44-4-4-4−2i22i22i2−2i2004004-4-40000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000
χ7444-4-444004-44-4-4-42i2−2i2−2i22i2004004-4-400002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000
χ7544-4-44-200-2-4422-4−2i22i22i2−2i200-200-2220000−2i22i22i2−2i2i2−i2−i2i20000−2i32i32i3−2i300000000000000i2−i2−i2i200000000000000−666−600000000000000000000000
χ7644-4-44-200-2-4422-4−2i22i22i2−2i200-200-2220000−2i22i22i2−2i2i2−i2−i2i200002i3−2i3−2i32i300000000000000i2−i2−i2i2000000000000006−6−6600000000000000000000000
χ7744-4-44-200-2-4422-42i2−2i2−2i22i200-200-22200002i2−2i2−2i22i2−i2i2i2−i20000−2i32i32i3−2i300000000000000−i2i2i2−i2000000000000006−6−6600000000000000000000000
χ7844-4-44-200-2-4422-42i2−2i2−2i22i200-200-22200002i2−2i2−2i22i2−i2i2i2−i200002i3−2i3−2i32i300000000000000−i2i2i2−i200000000000000−666−600000000000000000000000
χ7944-4-4-240042-2-4-42−2i22i22i2−2i200-200-2220000i2−i2−i2i2−2i22i22i2−2i20000000023−23−23230000000000i2−i2−i2i20000000000i6−i6−i6i6000000000000000000000000000
χ8044-4-4-240042-2-4-42−2i22i22i2−2i200-200-2220000i2−i2−i2i2−2i22i22i2−2i200000000−232323−230000000000i2−i2−i2i20000000000−i6i6i6−i6000000000000000000000000000
χ8144-4-4-240042-2-4-422i2−2i2−2i22i200-200-2220000−i2i2i2−i22i2−2i2−2i22i20000000023−23−23230000000000−i2i2i2−i20000000000−i6i6i6−i6000000000000000000000000000
χ8244-4-4-240042-2-4-422i2−2i2−2i22i200-200-2220000−i2i2i2−i22i2−2i2−2i22i200000000−232323−230000000000−i2i2i2−i20000000000i6−i6−i6i6000000000000000000000000000
χ834-44-444-44-44-44-4-4000000400-44-4-44-440000000000000000000000000000-44000000000000000000000000000000000000000000000
χ844-44-44-2-4424-4-22-4000000-2002-2224-4-2000000000000−2i3−2i32i32i30000000000002-20000000000002i3−2i30000000000000000000000000000000
χ854-44-44-2-4424-4-22-4000000-2002-2224-4-20000000000002i32i3−2i3−2i30000000000002-2000000000000−2i32i30000000000000000000000000000000
χ864-44-4-24-44-4-224-42000000-2002-22-4-22400000000000000002323−23−23000000002-20000000000−2323000000000000000000000000000000000
χ874-44-4-24-44-4-224-42000000-2002-22-4-2240000000000000000−23−232323000000002-2000000000023−23000000000000000000000000000000000
χ884-44-4-2-24-42-22-2224i4i−4i−4i4-414i−4i-11-1-22-22−2i−2i2i2i−2i−2i2i2i000000000000-22-22−2i2i−2i2i1-1ii−i−i0000000000000000001-1i−i0000000000000000000
χ894-44-4-2-24-42-22-2224i4i−4i−4i-441−4i4i-11-1-22-22−2i−2i2i2i−2i−2i2i2i0000000000002-22-22i−2i2i−2i1-1ii−i−i000000000000000000-11−ii0000000000000000000
χ904-44-4-2-24-42-22-222−4i−4i4i4i4-41−4i4i-11-1-22-222i2i−2i−2i2i2i−2i−2i000000000000-22-222i−2i2i−2i1-1−i−iii0000000000000000001-1−ii0000000000000000000
χ914-44-4-2-24-42-22-222−4i−4i4i4i-4414i−4i-11-1-22-222i2i−2i−2i2i2i−2i−2i0000000000002-22-2−2i2i−2i2i1-1−i−iii000000000000000000-11i−i0000000000000000000
χ924-4-444-2002-4-42-2422−2222−2200-20022-2000022−2222−22−22−224-400-22-2200000000000000−22−22000022−2200000000−22−2200000000000000000000000
χ934-4-444-2002-4-42-2422−2222−2200-20022-2000022−2222−22−22−22-44002-22-200000000000000−22−220000−2222000000002−22−200000000000000000000000
χ944-4-444-2002-4-42-24−2222−222200-20022-20000−2222−22222−22−24-400-22-22000000000000002−22−20000−2222000000002−22−200000000000000000000000
χ954-4-444-2002-4-42-24−2222−222200-20022-20000−2222−22222−22−2-44002-22-2000000000000002−22−2000022−2200000000−22−2200000000000000000000000
χ964-4-44-2400-422-44-222−2222−2200-20022-20000−22−2222−2222−22004-40000-22-220000000000−22−220022−22000000−22−22000000000000000000000000000
χ974-4-44-2400-422-44-222−2222−2200-20022-20000−22−2222−2222−2200-4400002-22-20000000000−22−2200−22220000002−22−2000000000000000000000000000
χ984-4-44-2400-422-44-2−2222−222200-20022-200002−22−2−2222−2222004-40000-22-2200000000002−22−200−22220000002−22−2000000000000000000000000000
χ994-4-44-2400-422-44-2−2222−222200-20022-200002−22−2−2222−222200-4400002-22-200000000002−22−20022−22000000−22−22000000000000000000000000000
χ1008888-4-4-8-8-4-4-4-4-4-400000020022244440000000000000000000000000000-2-2000000000000000000000000000000000000000000000
χ10188-8-8-4-400-44-4444−4i24i24i2−4i2002002-2-200002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000−i2i2i2−i200000000000000000000000000000000000000000
χ10288-8-8-4-400-44-44444i2−4i2−4i24i2002002-2-20000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000i2−i2−i2i200000000000000000000000000000000000000000
χ1038-88-8-4-4-884-44-444000000200-22-24-44-40000000000000000000000000000-22000000000000000000000000000000000000000000000
χ1048-8-88-4-4004444-4-442−4242−4200200-2-220000−2222−2222−2222−222200000000000000000000002−22−200000000000000000000000000000000000000000
χ1058-8-88-4-4004444-4-4−4242−424200200-2-22000022−2222−2222−2222−220000000000000000000000−22−2200000000000000000000000000000000000000000

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