Finite Group Databasebeta

← Group #13172078

Character table — Group #13172078

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order1222333666666666233366666666666666666223666666666666224446666666666666666661212446661212121212121212121212244441212446121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-1-1-11111-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11-1-1111111111111111111-1-1-1-1-1-1111-1-1-111111-1-11-1-1-1-1-11-1-11-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111111111111111111111111111111111-1-11111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-11111111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-11-1-11-1-1-1111-1-11-11
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-111-1-1-1-111-111-1-11
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
χ91111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-111-1-11-1-1-1-111-1-111
χ101111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-11-1-111111-1-111-1-11111-1-1-1-11111111-1-1-11-1-1-1-1-111-11-11-11111-11-11-1-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1111-111111-1-11-11-1-111111-11-1-1-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-1111-1-1-1-1-1-11111
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-1111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1111-1-111-1-1111-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-111111111111-1-1-11-1-1-1-1-1111-11-1-111-1-11-11-1-11
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1111-111111-1-1-11-11-111-1-1-11-11-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-11-1-11111-1-11111-1-11-1-11111-1-11-1
χ17222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-120202002222-1-1-1-1-1-1-1-1-1-1-1-1220000002-1-1000-1-1-1-1200200000-100-100
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χ19222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-2020200-2-2-2-2111111111111220000002-1-1000-1-1-1-1-200-200000100100
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χ24222222-122-1-1222-12-2-12-1-2-211-122-1-1-11111-1-12-2-2-1-211-2-2-1-1-1111120-20200-2-22211-1-11111-1-1-1-122000000-21-100011-1-1200-200000-100100
χ2522222-122-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-12202022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1-1-10002-1-100000220000000-1-1000
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χ2722222-122-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-22020221111-2-2-2-2111111110000-1-1-1-10002-1-100000-2-2000000011000
χ2822222-122-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-2-20-20-2-21111-2-2-2-21111111100001111000-21100000220000000-1-1000
χ2922222-122-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-122-1-2-2-211-1-1-11111-220-2022-1-11122-2-2-1-1-1-111110000-1-1-11000-211000002-20000000-11000
χ3022222-122-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-122-1-2-2-211-1-1-11111-2-2020-2-2-1-11122-2-2-1-1-1-111110000111-10002-1-100000-2200000001-1000
χ3122222-122-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-1-2-2-1-2-2-211-1-1-11111220-202211-1-1-2-2221111-1-1-1-10000-1-1-11000-21100000-2200000001-1000
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χ914-4-44-2442-4-4-4-2-44420-2-240000-22-2-4-44000022200-20000022-200000000000000000000000000023−230000000000000023−23000000000000000
χ924-4-44-2442-4-4-4-2-44420-2-240000-22-2-4-44000022200-20000022-2000000000000000000000000000−232300000000000000−2323000000000000000
χ934-4-44-24-22-422-2-44-2201-2-200−2i32i312-222-2−2i32i32i3−2i3-1-120010i3−i300-1-11i3−i3−i3i30000000000000000000000023−230000000000003i−3i−33000000000000000
χ944-4-44-24-22-422-2-44-2201-2-200−2i32i312-222-2−2i32i32i3−2i3-1-120010i3−i300-1-11i3−i3−i3i300000000000000000000000−2323000000000000−3i3i3−3000000000000000
χ954-4-44-24-22-422-2-44-2201-2-2002i3−2i312-222-22i3−2i3−2i32i3-1-120010−i3i300-1-11−i3i3i3−i30000000000000000000000023−23000000000000−3i3i−33000000000000000
χ964-4-44-24-22-422-2-44-2201-2-2002i3−2i312-222-22i3−2i3−2i32i3-1-120010−i3i300-1-11−i3i3i3−i300000000000000000000000−23230000000000003i−3i3−3000000000000000
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
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222222-2-2-2-222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-8-48-4-4-8-4448-84402-4-40000-2-44-44400002-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-448-84-44-840-42-4000042-2-4440000-44-2002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-44-444-444402220000-22-22-2-266-6-62-2-200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-44-444-444402220000-22-22-2-2-6-6662-2-200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4484-44-8-84-402-4-40000-2444-440000-22-400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44444-40222−4i34i300-2-2-2-22-22i3−2i32i3−2i3-22200-10002i3−2i31-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-44-44444-402224i3−4i300-2-2-2-22-2−2i32i3−2i32i3-22200-1000−2i32i31-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-8-8-44-4840-42-40000-4-2244-4000044-200200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-44-4-44022200−4i34i32-22-2-222i3−2i3−2i32i3-2-2-200-102i3−2i30011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-44-4-440222004i3−4i32-22-2-22−2i32i32i3−2i3-2-2-200-10−2i32i30011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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