Finite Group Databasebeta

← Group #13169426

Character table — Group #13169426

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121244444444441212121212121212224444444412121212121212121212121212121212121212121212121266121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-111-111111111-1-1-1-1-1-111-1-111111-11-11-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-11-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11-111-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-111-11-111111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-111111-11-1-11111-1-11111-1-111-1-111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-11-1-11-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-11-111-1-1-1-111-1-1-1-111-1-1111111-1-1-111-111-1-111-1-111-1-111-1-1-1-1-1-11111-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-1111-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-11111-1-1-1-1-1-111111-111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-11111-1-1-1-1-1-111-1-1111111111-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11111-1-1111-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1111111-1-111-1-11111-1-1-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-111111-1-1-1-1-1-11111-1-11111-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-11
χ17222222-122-1-1222222-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-100002022022200220022002200000000-1-10202-1-1-1-100-1-1-1-100-1-1-1-1000000-1-100
χ18222222-122-1-1222222-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000020-220-222002200-2-200-2-200000000-110-20-2-11-1-10011-1-10011110000001100
χ19222222-122-1-1222222-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-202-202-2-200-2-200-2-200-2-2000000001-102021-11100-1-11100-1-1110000001100
χ20222222-122-1-1222222-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-20-2-20-2-2-200-2-20022002200000000110-20-211110011110011-1-1000000-1-100
χ21222222-1-2-2-1-1222222-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000202-20-22200-2-200-2-200220000000011020-2-1-1110011-1-100-1-111000000-1-100
χ22222222-1-2-2-1-1222222-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-211111111000020-2-2022200-2-2002200-2-2000000001-10-202-111100-1-1-1-10011-1-10000001100
χ23222222-1-2-2-1-1222222-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000-20220-2-2-20022002200-2-200000000-11020-21-1-1-100111100-1-1-1-10000001100
χ24222222-1-2-2-1-1222222-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111110000-20-2202-2-2002200-2-2002200000000-1-10-20211-1-100-1-111001111000000-1-100
χ2522222-1222222-12-12-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000022022002200220022000022000002-1-1-1-10200-1-1-1-100-1-1-1-100-1-100-1-10000
χ2622222-1222222-12-12-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000002-202-20022002200-2-20000-2-200000-2-11-110-200-1-11100-1-111001100110000
χ2722222-1222222-12-12-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-220-2200-2-200-2-200-2-20000-2-20000021-11-1020011-1-10011-1-1001100110000
χ2822222-1222222-12-12-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-2-20-2-200-2-200-2-2002200002200000-211110-200111100111100-1-100-1-10000
χ2922222-12-2-2222-12-12-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-211111100000220-2-2002200-2-200220000-2-200000-2-1-1110200111100-1-1-1-100-1-100110000
χ3022222-12-2-2222-12-12-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111000002-20-22002200-2-200-2-2000022000002-111-10-20011-1-100-1-111001100-1-10000
χ3122222-12-2-2222-12-12-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-211111100000-2202-200-2-2002200-2-200002200000-21-1-110200-1-1110011-1-1001100-1-10000
χ3222222-12-2-2222-12-12-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-211111100000-2-202200-2-2002200220000-2-200000211-1-10-200-1-1-1-100111100-1-100110000
χ332222-1222222-12-12-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222220220-1-1-1-1-1-1-1-10000002200-1-1-1-120202020-1-1-1-100-1-1-1-1000000-1-1000000
χ342222-1222222-12-12-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-2-20-2-20111111110000002200-1-1-1-1-20-20-20-201111001111000000-1-1000000
χ352222-1222222-12-12-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-202-20-1-111-1-111000000-2-200111120-20-2020-1-11100-1-11100000011000000
χ362222-1222222-12-12-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-220-22011-1-111-1-1000000-2-2001111-202020-2011-1-10011-1-100000011000000
χ372222-122-2-222-12-12-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-2111122222-20-220-1-11111-1-1000000-2-200-1-1-1-1-20-20202011-1-100-1-11100000011000000
χ382222-122-2-222-12-12-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-211112222-2202-2011-1-1-1-111000000-2-200-1-1-1-12020-20-20-1-1110011-1-100000011000000
χ392222-122-2-222-12-12-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-21111-2-2-2-2220-2-20-1-1-1-1111100000022001111-2020-2020111100-1-1-1-1000000-1-1000000
χ402222-122-2-222-12-12-122-1-12-1-12-1-12-1-1211-2-2-2-2-1-1-1-11111-2-21111-2-2-2-2-2-202201111-1-1-1-10000002200111120-2020-20-1-1-1-1001111000000-1-1000000
χ4122-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-2000000000022-2-2000000000000002-22-200000022-2-2000000000000000000002-22-200000000
χ4222-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-2000000000022-2-200000000000000-22-2200000022-2-200000000000000000000-22-2200000000
χ4322-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-20000000000-2-222000000000000002-2-22000000-2-222000000000000000000002-2-2200000000
χ4422-2-2222002-2-2-222-2-2-2222222-2-2-2-2-2-200000022-2-20000000000-2-22200000000000000-222-2000000-2-22200000000000000000000-222-200000000
χ452-22-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000002-2-2200000000002i−2i2i−2i0000000000000000002-2002i−2i2i−2i2i−2i000000000000000000000000002i−2i2-200
χ462-22-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000002-2-2200000000002i−2i2i−2i000000000000000000-2200−2i2i2i−2i2i−2i00000000000000000000000000−2i2i-2200
χ472-22-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000002-2-220000000000−2i2i−2i2i0000000000000000002-200−2i2i−2i2i−2i2i00000000000000000000000000−2i2i2-200
χ482-22-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000002-2-220000000000−2i2i−2i2i000000000000000000-22002i−2i−2i2i−2i2i000000000000000000000000002i−2i-2200
χ492-2-222222i−2i-22-2-2-2-222-2222-2-2-2222-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2i−2i−2i2i000000000000000000002-2002i−2i−2i2i0000000000000000000000002-2000000
χ502-2-222222i−2i-22-2-2-2-222-2222-2-2-2222-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i−2i2i2i−2i00000000000000000000-2200−2i2i2i−2i000000000000000000000000-22000000
χ512-2-22222−2i2i-22-2-2-2-222-2222-2-2-2222-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2i−2i−2i2i00000000000000000000-22002i−2i−2i2i000000000000000000000000-22000000
χ522-2-22222−2i2i-22-2-2-2-222-2222-2-2-2222-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i−2i2i2i−2i000000000000000000002-200−2i2i2i−2i0000000000000000000000002-2000000
χ532-2-22-1222i−2i-221-21-2-12-2-1-1211-2-1-1211-2−ii2i−2i2i−2i-11-11−ii−ii2i−2i−i−iii2i−2i−2i2i0000003−33−3−i3i3−i3i30000002-200−iii−i00000000−i3i3−i3i3003−33−3000000-11000000
χ542-2-22-1222i−2i-221-21-2-12-2-1-1211-2-1-1211-2−ii2i−2i2i−2i-11-11−ii−ii2i−2i−i−iii2i−2i−2i2i000000−33−33i3−i3i3−i30000002-200−iii−i00000000i3−i3i3−i300−33−33000000-11000000
χ552-2-22-1222i−2i-221-21-2-12-2-1-1211-2-1-1211-2−ii2i−2i2i−2i-11-11−ii−ii2i−2i−i−iii−2i2i2i−2i0000003−3−33−i3i3i3−i3000000-2200i−i−ii00000000−i3i3i3−i3003−3−330000001-1000000
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χ572-2-22-122−2i2i-221-21-2-12-2-1-1211-2-1-1211-2i−i−2i2i−2i2i-11-11i−ii−i−2i2iii−i−i2i−2i−2i2i0000003−3−33i3−i3−i3i3000000-2200−iii−i00000000i3−i3−i3i3003−3−330000001-1000000
χ582-2-22-122−2i2i-221-21-2-12-2-1-1211-2-1-1211-2i−i−2i2i−2i2i-11-11i−ii−i−2i2iii−i−i2i−2i−2i2i000000−333−3−i3i3i3−i3000000-2200−iii−i00000000−i3i3i3−i300−333−30000001-1000000
χ592-2-22-122−2i2i-221-21-2-12-2-1-1211-2-1-1211-2i−i−2i2i−2i2i-11-11i−ii−i−2i2iii−i−i−2i2i2i−2i0000003−33−3i3−i3i3−i30000002-200i−i−ii00000000i3−i3i3−i3003−33−3000000-11000000
χ602-2-22-122−2i2i-221-21-2-12-2-1-1211-2-1-1211-2i−i−2i2i−2i2i-11-11i−ii−i−2i2iii−i−i−2i2i2i−2i000000−33−33−i3i3−i3i30000002-200i−i−ii00000000−i3i3−i3i300−33−33000000-11000000
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χ714444-2-24-4-444-2-2-2-2-2-241-2-21-2-21-2-21-2-22222-4-41111-1-12222-1-1-1-100000400-4000-2-200220000000000000000-20200000-1-100001100000000000000
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χ854-4-4444-24i−4i2-2-4-4-4-44424-2-2-4224-2-2-4224i−4i4i−4i−2i2i-22-224i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ864-4-4444-2−4i4i2-2-4-4-4-44424-2-2-4224-2-2-422−4i4i−4i4i2i−2i-22-22−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-244i−4i-44-42-424-2-4-24-22-42-24-22-424i−4i−2i2i4i−4i-22-22−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ884-4-444-24−4i4i-44-42-424-2-4-24-22-42-24-22-42−4i4i2i−2i−4i4i-22-222i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-2-24i−4i2-2-42-424-22-2-2122-1-2-2122-14i−4i−2i2i−2i2i1-11-1−2i2i−2i2ii−iii−i−i000000000000000000000000000000000000000000003-300003i−3i000000000000
χ904-4-444-2-24i−4i2-2-42-424-22-2-2122-1-2-2122-14i−4i−2i2i−2i2i1-11-1−2i2i−2i2ii−iii−i−i00000000000000000000000000000000000000000000-330000−3i3i000000000000
χ914-4-444-2-2−4i4i2-2-42-424-22-2-2122-1-2-2122-1−4i4i2i−2i2i−2i1-11-12i−2i2i−2i−ii−i−iii000000000000000000000000000000000000000000003-30000−3i3i000000000000
χ924-4-444-2-2−4i4i2-2-42-424-22-2-2122-1-2-2122-1−4i4i2i−2i2i−2i1-11-12i−2i2i−2i−ii−i−iii00000000000000000000000000000000000000000000-3300003i−3i000000000000
χ934-4-44-24-24i−4i2-22-42-4-242-21-22-12-21-22-12−2i2i4i−4i−2i2i1-11-1−2i2ii−i−2i2iii−i−i000000000023−2300−2i32i3000000000000000000000000i3−i30000−330000000000000000
χ944-4-44-24-24i−4i2-22-42-4-242-21-22-12-21-22-12−2i2i4i−4i−2i2i1-11-1−2i2ii−i−2i2iii−i−i0000000000−2323002i3−2i3000000000000000000000000−i3i300003−30000000000000000
χ954-4-44-24-2−4i4i2-22-42-4-242-21-22-12-21-22-122i−2i−4i4i2i−2i1-11-12i−2i−ii2i−2i−i−iii000000000023−23002i3−2i3000000000000000000000000−i3i30000−330000000000000000
χ964-4-44-24-2−4i4i2-22-42-4-242-21-22-12-21-22-122i−2i−4i4i2i−2i1-11-12i−2i−ii2i−2i−i−iii0000000000−232300−2i32i3000000000000000000000000i3−i300003−30000000000000000
χ974-4-44-2-244i−4i-442222-2-2-41-2-2-1221-2-2-122−2i2i−2i2i4i−4i1-11-1i−i−2i2i−2i2iii−i−i00000000000023−2300−2i32i3000000000000000000000000i3−i30000−3300000000000000
χ984-4-44-2-244i−4i-442222-2-2-41-2-2-1221-2-2-122−2i2i−2i2i4i−4i1-11-1i−i−2i2i−2i2iii−i−i000000000000−2323002i3−2i3000000000000000000000000−i3i300003−300000000000000
χ994-4-44-2-24−4i4i-442222-2-2-41-2-2-1221-2-2-1222i−2i2i−2i−4i4i1-11-1−ii2i−2i2i−2i−i−iii00000000000023−23002i3−2i3000000000000000000000000−i3i30000−3300000000000000
χ1004-4-44-2-24−4i4i-442222-2-2-41-2-2-1221-2-2-1222i−2i2i−2i−4i4i1-11-1−ii2i−2i2i−2i−i−iii000000000000−232300−2i32i3000000000000000000000000i3−i300003−300000000000000
χ1018888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-4-1-1-1-1222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-1-1-1-1-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-400-44-848-4-844-4-42-4-4244-244-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-400-444-8-484-84-42-4-42-44-244-2400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-48008-844-4-444-82-4-42-4-4-244-24400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400-4444-4-4444222222-2-2-2-2-2-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4444-4-4444222222-2-2-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-400448-4-84-84-4-4-4244-244-2-4-420000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-40044-484-84-8-4-42-44-244-24-42-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-8-8-4-4444482-4-4-244-2442-4-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-40044-4-44444-4222-2-2-2-2-2-2222000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-40044-4-44444-4222-2-2-2-2-2-2222000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48i−8i4-44444-4-44222-2-2-2222-2-2-2−4i4i−4i4i−4i4i-11-112i−2i2i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4−8i8i4-44444-4-44222-2-2-2222-2-2-24i−4i4i−4i4i−4i-11-11−2i2i−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000

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