Finite Group Databasebeta

← Group #13168113

Character table — Group #13168113

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order12223334466666666633366666666612121212121236661212121212121212121222222244446666121212124444444444666666666612121212121212121212121212121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
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
χ511111111111111111111111111111111111111111111111111-1-1-1-11-11-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-11-111-1-1111-11111-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11-1111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-11-1-11111-1111-1-1111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1111-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-1-1111111-1-1-1-1-1-11-111-1-111-11-1-1-1-111-1-1111111-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-111-1-111-1-1-1-11-111-1-1-1-1-1111-1-11111-1-111-1-11111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-1-111111-1-1-111-1-1-1-11111-1-11111-1-1-11
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-11-11111-1-111-1-11111-1-1-1-1111-1
χ17222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222222200-1-1-1-1-1-1-1-10000220000-1-1-1-122-1-1-1-1002200-1-1-1-10000-1-10000000000
χ18222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-2-2-2-200111111110000220000-1-1-1-1-2-2111100-2-20011110000-1-10000000000
χ19222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-22-22-200-1-111-1-1110000-2-2000011112-2-1-111002-200-1-1110000110000000000
χ20222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-22-220011-1-111-1-10000-2-200001111-2211-1-100-220011-1-10000110000000000
χ21222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-21111222222-2-200-1-1-1-111110000-2-20000-1-1-1-122-1-1-1-100-2-20011110000110000000000
χ22222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-211112222-2-222001111-1-1-1-10000-2-20000-1-1-1-1-2-21111002200-1-1-1-10000110000000000
χ23222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-21111-2-2-2-22-2-2200-1-11111-1-1000022000011112-2-1-11100-220011-1-10000-1-10000000000
χ24222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-1-1-1-11111-2-21111-2-2-2-2-222-20011-1-1-1-11100002200001111-2211-1-1002-200-1-1110000-1-10000000000
χ2522222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1000002022200220022002200002200000-100-1-12-10-12-100-1-1-1-1-1-1000000-1-1-1-100
χ2622222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000202-2-20022002200-2-20000-2-200000-100-1-1-210-1-2100-1-11111000000111100
χ2722222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000-20-22200-2-200-2-200-2-20000-2-200000100112-1012-10011-1-1-1-1000000111100
χ2822222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-100000-20-2-2-200-2-200-2-200220000220000010011-2101-2100111111000000-1-1-1-100
χ2922222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000020-22-2002200-2-200-2-200002200000-100-1-12-101-21001111-1-1000000-1-11100
χ3022222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-2111111110000020-2-22002200-2-200220000-2-200000-100-1-1-21012-10011-1-11100000011-1-100
χ3122222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100000-2022-200-2-2002200220000-2-200000100112-10-1-2100-1-111-1-100000011-1-100
χ3222222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-2-1-1-1-1-2-21111111100000-202-2200-2-2002200-2-20000220000010011-210-12-100-1-1-1-111000000-1-11100
χ332222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100002020222200220022000022000000-10-1-100-12-10-12-1-100-1-1-1-100-1-1-1-1000000
χ342222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100002020-2-222002200-2-20000-2-2000000-10-1-1001-2-101-2-1-1001111001111000000
χ352222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000-20-2022-2-200-2-200-2-20000-2-2000000101100-1210-121100-1-1-1-1001111000000
χ362222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000-20-20-2-2-2-200-2-200220000220000001011001-2101-21100111100-1-1-1-1000000
χ372222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-2111111000020-202-22200-2-200-2-2000022000000-10-1-100-12101-2110011-1-100-1-111000000
χ382222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-2111111000020-20-222200-2-200220000-2-2000000-10-1-1001-210-121100-1-1110011-1-1000000
χ392222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-21111110000-20202-2-2-2002200220000-2-2000000101100-12-101-2-1-10011-1-10011-1-1000000
χ402222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-1-1-1-111-2-21111110000-2020-22-2-2002200-2-20000220000001011001-2-10-12-1-100-1-11100-1-111000000
χ4122-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-2000000000022-2-2000000000000000000002i−2i2i−2i22-2-200000000000000000000002i−2i002i−2i0000
χ4222-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-2000000000022-2-200000000000000000000−2i2i−2i2i22-2-20000000000000000000000−2i2i00−2i2i0000
χ4322-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-20000000000-2-222000000000000000000002i−2i−2i2i-2-22200000000000000000000002i−2i00−2i2i0000
χ4422-2-222200-2-2-22-22-22-22222-2-2-2-2-222-200000022-2-20000000000-2-22200000000000000000000−2i2i2i−2i-2-2220000000000000000000000−2i2i002i−2i0000
χ452-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-2200000000002-22-2000000000000002i−2i2i−2i0000002-22-20000000000000000000000002i−2i002i−2i00
χ462-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-2200000000002-22-200000000000000−2i2i−2i2i0000002-22-2000000000000000000000000−2i2i00−2i2i00
χ472-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-220000000000-22-22000000000000002i−2i−2i2i000000-22-220000000000000000000000002i−2i00−2i2i00
χ482-22-222200-222-22-2-2-2-2222-2-2-222-2-2-220000002-2-220000000000-22-2200000000000000−2i2i2i−2i000000-22-22000000000000000000000000−2i2i002i−2i00
χ492-2-222222i−2i2-2-2-2-2-22-22222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i2-2-220000000000000000002i−2i00002-2-22000000000000000000002i−2i0000000000
χ502-2-222222i−2i2-2-2-2-2-22-22222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22-22i−2i2i−2i2i−2i2i2i−2i−2i-222-2000000000000000000−2i2i0000-222-200000000000000000000−2i2i0000000000
χ512-2-22222−2i2i2-2-2-2-2-22-22222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2-22000000000000000000−2i2i00002-2-2200000000000000000000−2i2i0000000000
χ522-2-22222−2i2i2-2-2-2-2-22-22222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i−2i−2i2i2i-222-20000000000000000002i−2i0000-222-2000000000000000000002i−2i0000000000
χ532-2-2222-12i−2i-1-2-211-22-222-1-1-2-1-111211-22i−2i2i−2i−ii-11-11−ii−ii2i−2i−i−iii2-2-22000000−i3i3−i3i33−33−300002i−2i0000-111-100−i3i3−i3i30000003−33−30000−ii0000000000
χ542-2-2222-12i−2i-1-2-211-22-222-1-1-2-1-111211-22i−2i2i−2i−ii-11-11−ii−ii2i−2i−i−iii2-2-22000000i3−i3i3−i3−33−3300002i−2i0000-111-100i3−i3i3−i3000000−33−330000−ii0000000000
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χ582-2-2222-1−2i2i-1-2-211-22-222-1-1-2-1-111211-2−2i2i−2i2ii−i-11-11i−ii−i−2i2iii−i−i2-2-22000000i3−i3i3−i33−33−30000−2i2i0000-111-100i3−i3i3−i30000003−33−30000i−i0000000000
χ592-2-2222-1−2i2i-1-2-211-22-222-1-1-2-1-111211-2−2i2i−2i2ii−i-11-11i−ii−i−2i2iii−i−i-222-2000000−i3i3i3−i3−333−300002i−2i00001-1-1100−i3i3i3−i3000000−333−30000−ii0000000000
χ602-2-2222-1−2i2i-1-2-211-22-222-1-1-2-1-111211-2−2i2i−2i2ii−i-11-11i−ii−i−2i2iii−i−i-222-2000000i3−i3−i3i33−3−3300002i−2i00001-1-1100i3−i3−i3i30000003−3−330000−ii0000000000
χ6144444-2-244-24-2-2-244-2-2-2-21-2-21-21-2-21-244-2-2-2-21111-2-211-2-21111000004040000-2-200-2-2000000000000000-20011000-20000110000000000000000
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χ854-4-444-244i−4i4-42-4-4-442-2-24-224-2-42-2-4224i−4i−2i2i4i−4i-22-224i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ864-4-444-24−4i4i4-42-4-4-442-2-24-224-2-42-2-422−4i4i2i−2i−4i4i-22-22−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ874-4-444-2-24i−4i-2-4222-442-2-2-212-212-1-22-124i−4i−2i2i−2i2i1-11-1−2i2ii−i−2i2iii−i−i000000000000−2i32i30023−23000000000000000000i3−i300000000−330000000000000000
χ884-4-444-2-24i−4i-2-4222-442-2-2-212-212-1-22-124i−4i−2i2i−2i2i1-11-1−2i2ii−i−2i2iii−i−i0000000000002i3−2i300−2323000000000000000000−i3i3000000003−30000000000000000
χ894-4-444-2-2−4i4i-2-4222-442-2-2-212-212-1-22-12−4i4i2i−2i2i−2i1-11-12i−2i−ii2i−2i−i−iii000000000000−2i32i300−2323000000000000000000i3−i3000000003−30000000000000000
χ904-4-444-2-2−4i4i-2-4222-442-2-2-212-212-1-22-12−4i4i2i−2i2i−2i1-11-12i−2i−ii2i−2i−i−iii0000000000002i3−2i30023−23000000000000000000−i3i300000000−330000000000000000
χ914-4-44-2444i−4i42-4-4-42-2-44-2-242-242-4-22-42−2i2i4i−4i4i−4i-22-22−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-244−4i4i42-4-4-42-2-44-2-242-242-4-22-422i−2i−4i4i−4i4i-22-222i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-24-24i−4i-22-4222-2-44-21-221-2-12-2-122−2i2i4i−4i−2i2i1-11-1i−i−2i2i−2i2iii−i−i0000000000−2i32i30023−23000000000000000000i3−i300000000−33000000000000000000
χ944-4-44-24-24i−4i-22-4222-2-44-21-221-2-12-2-122−2i2i4i−4i−2i2i1-11-1i−i−2i2i−2i2iii−i−i00000000002i3−2i300−2323000000000000000000−i3i3000000003−3000000000000000000
χ954-4-44-24-2−4i4i-22-4222-2-44-21-221-2-12-2-1222i−2i−4i4i2i−2i1-11-1−ii2i−2i2i−2i−i−iii0000000000−2i32i300−2323000000000000000000i3−i3000000003−3000000000000000000
χ964-4-44-24-2−4i4i-22-4222-2-44-21-221-2-12-2-1222i−2i−4i4i2i−2i1-11-1−ii2i−2i2i−2i−i−iii00000000002i3−2i30023−23000000000000000000−i3i300000000−33000000000000000000
χ974-4-44-2-244i−4i422-4-42-22-21-2-2-1-2-222122-1−2i2i−2i2i4i−4i1-11-1−2i2i−2i2ii−iii−i−i0000000000000000000000000000000000000000000000003-33i−3i000000000000
χ984-4-44-2-244i−4i422-4-42-22-21-2-2-1-2-222122-1−2i2i−2i2i4i−4i1-11-1−2i2i−2i2ii−iii−i−i000000000000000000000000000000000000000000000000-33−3i3i000000000000
χ994-4-44-2-24−4i4i422-4-42-22-21-2-2-1-2-222122-12i−2i2i−2i−4i4i1-11-12i−2i2i−2i−ii−i−iii0000000000000000000000000000000000000000000000003-3−3i3i000000000000
χ1004-4-44-2-24−4i4i422-4-42-22-21-2-2-1-2-222122-12i−2i2i−2i−4i4i1-11-12i−2i2i−2i−ii−i−iii000000000000000000000000000000000000000000000000-333i−3i000000000000
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
χ10388-8-88-4-4004-84-448-8-44-4-42-44-24-24-42400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-40044-8-44-448-8-42-4-4-24-2442-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4800-8448-8-44-442-4-424444-2-4-4-200000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-400444-44-44-442222-2-2-2-2-222-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400444-44-44-442222-2-2-2-2-222-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-40048-44-4-8-844-4-4244-2-4244-2-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-4004-484-444-8-8-42-44-242-44-24-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4800-8-4-4-8844442-4-4-244-4-4-24420000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4-44-44444222-2-2-222-2-2-22000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4-44-44444222-2-2-222-2-2-22000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48i−8i-444444-44-4222-222-2-22-2-2-2−4i4i−4i4i−4i4i-11-112i−2i2i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4−8i8i-444444-44-4222-222-2-22-2-2-24i−4i4i−4i4i−4i-11-11−2i2i−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000

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