Finite Group Databasebeta

← Group #13172910

Character table — Group #13172910

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order1222333666666666233366666666666666666443666666666666244441212121212121212121212121212121212121212226666121212121212121212122444466446121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-1111111-1-1111111111111-1-111111-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111111111111111-1-1-11-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-11
χ51111111111111111111111111111111111111-1-11111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1-1-111-1-11-111
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-1-1-111-1-11-11-11-1-1-1-11-111-11
χ101111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1111-1-11-111111-1-1-11-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-111-1-1-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1111-1-1-1-1-11-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-111-11-111-1-1-1-1-11-1111
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-111-1-111-1-1-1-11111-1-11111-11-1-1-1-111-1-1-11-111-1-111-11-111-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-111-111-1-111-1-1-111-1-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11-111-1-11-1-1-111
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11-1-1-1-1-1111-1-1-1-1-11-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1111-11-11-1-1111-111-1-1
χ17222222-122-12-122-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1222020000-1-1-1-1000000000000222-1-1-122-12-1-1-1-1-1-100002-1-100000-100
χ18222222-122-12-122-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-122-20-20000-1-111000000000000-2-22-1-1-12-21-2-1-111110000-21100000100
χ19222222-122-12-122-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2202000011-1-1000000000000-2-2-2111-22-1211-1-1-1-10000-21100000100
χ20222222-122-12-122-1222-1-1222222-12222-1-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-20000111100000000000022-2111-2-21-211111100002-1-100000-100
χ21222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-111112-220-2000011-1-1000000000000-2-22-1-1-1-221-211-1-111000021100000-100
χ22222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-111112-2-20200001111000000000000222-1-1-1-2-2-121111-1-10000-2-1-100000100
χ23222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-11111-2220-20000-1-1-1-100000000000022-2111221-2-1-1-1-1110000-2-1-100000100
χ24222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-1200-111111-1-1-11111-22-2020000-1-111000000000000-2-2-21112-2-12-1-111-1-1000021100000-100
χ2522222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-122-1222-1-1-1-1-1-1-1-1-122020-1-1-1-122002222-1-1-1-1-1-1-1-100-12-1-1-1000-1-10000220000000-1-10000
χ2622222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-122-1222-1-1-1-1-1-1-1-1-1-2-2020-1-1-1-1-2-2002222-1-1-1-1-1-1-1-1001-2111000110000-2-20000000110000
χ2722222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-1222-1-1-1-1-1-1-1-1-1220-2011112200-2-2-2-21111111100-12-1-1-1000-1-10000-2-20000000110000
χ2822222-122-12-122-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-201111-2-200-2-2-2-211111111001-2111000110000220000000-1-10000
χ2922222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-122-1-2-2-211-1-1-111112-20-20-1-111-2-20022-2-2-1-1-1-1111100-12-1-110001100002-20000000-110000
χ3022222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-122-1-2-2-211-1-1-11111-220-20-1-111220022-2-2-1-1-1-11111001-211-1000-1-10000-2200000001-10000
χ3122222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-1-2-2-1-2-2-211-1-1-111112-202011-1-1-2-200-2-2221111-1-1-1-100-12-1-11000110000-2200000001-10000
χ3222222-122-12-122-122-2-12-1-2-211-1-121111-1-122-1-1-2-2-1-2-2-211-1-1-11111-2202011-1-12200-2-2221111-1-1-1-1001-211-1000-1-100002-20000000-110000
χ332222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-122-12-1-122-1-1-1-1-1-1-10022222220022-1-1-1-1-1-1-1-1-1-1-1-10000000-12-100-1-1-1-100220000000-10-10
χ342222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-122-12-1-122-1-1-1-1-1-1-100-22-2222200-2-2-1-1-1-1-1-1-1-1-1-1-1-100000001-2100111100-2-200000001010
χ352222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-12-1-122-1-1-1-1-1-1-1002-22-2-2-2-200221111111111110000000-12-100-1-1-1-100-2-200000001010
χ362222-122-12222-122-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-12-1-122-1-1-1-1-1-1-100-2-2-2-2-2-2-200-2-211111111111100000001-2100111100220000000-10-10
χ372222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-122-1-211-2-2-1-1-11111002-2-222-2-20022-1-111-1-1-1-111110000000-1-2100-1-111002-20000000-1010
χ382222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-122-1-211-2-2-1-1-1111100-2-2222-2-200-2-2-1-111-1-1-1-11111000000012-10011-1-100-22000000010-10
χ392222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-1-211-2-2-1-1-111110022-2-2-222002211-1-11111-1-1-1-10000000-1-2100-1-11100-22000000010-10
χ402222-122-12222-122-1-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-1-211-2-2-1-1-1111100-222-2-22200-2-211-1-11111-1-1-1-1000000012-10011-1-1002-20000000-1010
χ412-2-22222-2-2-22-2-2-22202220000-2-2-200002-22-2-222-22000002-2-20000000002-20000002-20022-2-200002-200000000000000000002-22-2000000
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χ4544444-2-24-2-2-2-24-2-244-2-2144-2-2-2-2-2-2-2-2-211-2-21-2001-2-2-2111111111440000000-2-20000000000000000-2-211-2000110000000000000000000
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χ514444-24-2-24-24-2-24-2-2-4-21-222-4-4-2-212222-2-211-2-20012-1-122111-1-1-1-10040-4000000-2-20000000000000000000-2220011-1-1000000000000000
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χ554444-2-24-2-24-24-2-24-2-41-2-2222211-2-1-1-1-1-2-2-2-2-21441-42222111-1-1-1-1000-40-2-2220000-2-2221111-1-1-1-10000000000000000000000000000000
χ564444-2-24-2-24-24-2-24-2-41-2-2222211-2-1-1-1-1-2-2-2-2-21-4-41-42222111-1-1-1-10004022-2-2000022-2-2-1-1-1-111110000000000000000000000000000000
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χ934-4-44-2-2422-4-2-4224-201-2-20000-1-123-3-33-22-22214-41000001-1-13-3-3300000-22000000-220011-1-13-3-330000000000000000000000000000000
χ944-4-44-2-2422-4-2-4224-201-2-20000-1-123-3-33-22-2221-441000001-1-13-3-33000002-20000002-200-1-111-333-30000000000000000000000000000000
χ954-4-44-2-2422-4-2-4224-201-2-20000-1-12-333-3-22-22214-41000001-1-1-333-300000-22000000-220011-1-1-333-30000000000000000000000000000000
χ964-4-44-2-2422-4-2-4224-201-2-20000-1-12-333-3-22-2221-441000001-1-1-333-3000002-20000002-200-1-1113-3-330000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222-2-2-2-222222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-48-4-444-844-80-4-420000-44-40000-2244-2400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-4-44444440222−4i34i3002-222i32i3−2i3−2i3-22-2-2-2-200-102i3−2i3001-11−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4-444444402224i3−4i3002-22−2i3−2i32i32i3-22-2-2-2-200-10−2i32i3001-11i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-84-8-4-48440-42-400004-4-2000044-22-4400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-4-444022200−4i34i3-22-22i3−2i32i3−2i3-2-2-222-200-10002i3−2i311-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-4-4-4440222004i3−4i3-22-2−2i32i3−2i32i3-2-2-222-200-1000−2i32i311-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-844-44-84-480-4-42000044400002-2-44-2-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-84844-8-4-40-42-4000044-20000-442-24-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444-4444-4-402220000-2-2-26-6-662-22-2-2200-100000-111-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444-4444-4-402220000-2-2-2-666-62-22-2-2200-100000-1113-3-3300000000000000000000000000000000000000000000000000000000

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