Finite Group Databasebeta

← Group #13172240

Character table — Group #13172240

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order12223336666666662333666666666666666664436666666666664444412121212121212121212121212121212121212124412121212121212121212121212124444412124412121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-111-1-11111111111111111-1-1-111-11-11111-1-1-1-11-11-1-1-1-1-1-11-1-11-1-1
χ311111111111111111111111111111111111111111111111111111-11-11-1-1111111111111111111-1-11-1-11-11-1-1-1-11111-11-11-1-1-1-1-1-11-1-11-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11
χ51111111111111111111111111111111111111-1-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-1-11-11-1-1-111-11-1-111
χ71111111111111111111111111111111111111-1-11111111111111-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-111111-11-1-1-1-1111-1-11-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-11-1-1-1-1-1-11111
χ101111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-1111-1-11-11111-11-11-1-1
χ111111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-11111-1-1-111-1-111111-1-1-11-1
χ121111111111111111-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111-1-1-1-1111-1-11
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-111-1-1-1-1111-1-111111-1-1-1
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1111111-1-1-111-111-1-1-1-111-111-1-111-1-11-1-1-111
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-11-1-11111-1-11-1-11-111-1-1-11-11-11
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-11111-1-11-1-111-1-1111-1
χ17222222-122-122-1-12222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-102222-1-1-1-1000000000000000022-12-1222-1-1-1-1-1-1-1-100002-1-10000-1000
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χ19222222-122-122-1-12222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-10-22-2211-1-10000000000000000-2-2-1-212-221111-1-1-1-10000-21100001000
χ20222222-122-122-1-12222-1-1222222-1-12222-1-1-1-1200-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-211110000000000000000221-21-2-2-21111111100002-1-10000-1000
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χ24222222-122-122-1-122-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-1200-111111-1-1-111110-2-22211-1-10000000000000000-2-212-12-2-211-1-111-1-100002110000-1000
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χ2722222-122-122-1222-12-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1-202020022-2-211-2-2111111111100200-10-10000-1-1-1-10-20-200000010010
χ2822222-122-122-1222-12-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1-20-20-200-2-2-2-211-2-2111111111100-200101000011110202000000-100-10
χ2922222-122-122-1222-1-2-12-1-2-211-1-12-1111122-1-1-122-1-2-2-211-1-1-11111-2020-200-2-222-1-1-2-211-1-1-1-111110020010-10000-1-111020-2000000100-10
χ3022222-122-122-1222-1-2-12-1-2-211-1-12-1111122-1-1-122-1-2-2-211-1-1-11111-20-202002222-1-1-2-211-1-1-1-1111100-200-101000011-1-10-202000000-10010
χ3122222-122-122-1222-1-2-12-1-2-211-1-12-1111122-1-1-1-2-2-1-2-2-211-1-1-111112020-200-2-2-2-21122-1-11111-1-1-1-10020010-10000-1-1110-202000000-10010
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χ332222-122-122-1222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-122-12-1-122-1-1-1-1-1-1-1220202200-1-122-1-122-1-1-1-1-1-1-1-1000-120-10-1-1-1-10000202000000-100-100
χ342222-122-122-1222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-122-12-1-122-1-1-1-1-1-1-12-20-20-2-200-1-122-1-122-1-1-1-1-1-1-1-10001-201011110000-20-2000000100100
χ352222-122-122-1222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-12-1-122-1-1-1-1-1-1-1-22020220011-2-211-2-211111111000-120-10-1-1-1-10000-20-2000000100100
χ362222-122-122-1222-122-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-12-1-122-1-1-1-1-1-1-1-2-20-20-2-20011-2-211-2-2111111110001-201011110000202000000-100-100
χ372222-122-122-1222-12-2-1-1211-2-2-1-1-121111-1-122-122-1-211-2-2-1-1-11111-220-202200-1-12211-2-2-1-1-1-111110001-20-10-1-111000020-2000000100-100
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χ392222-122-122-1222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-2-1-211-2-2-1-1-11111220-20220011-2-2-1-1221111-1-1-1-10001-20-10-1-1110000-202000000-100100
χ402222-122-122-1222-12-2-1-1211-2-2-1-1-121111-1-122-1-2-2-1-211-2-2-1-1-111112-2020-2-20011-2-2-1-1221111-1-1-1-1000-1201011-1-1000020-2000000100-100
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χ934-4-44-2-242-2-4-22-442201-2-200−2i32i3-112-2i3−i3−i3i32-222-1001000−2i32i3-1-11i3−i3−i3i3000000000000023−23003i−3i−3i3i−333−30000000000000000000000000000000
χ944-4-44-2-242-2-4-22-442201-2-200−2i32i3-112-2i3−i3−i3i32-222-1001000−2i32i3-1-11i3−i3−i3i30000000000000−232300−3i3i3i−3i3−3−330000000000000000000000000000000
χ954-4-44-2-242-2-4-22-442201-2-2002i3−2i3-112-2−i3i3i3−i32-222-10010002i3−2i3-1-11−i3i3i3−i3000000000000023−2300−3i3i3i−3i−333−30000000000000000000000000000000
χ964-4-44-2-242-2-4-22-442201-2-2002i3−2i3-112-2−i3i3i3−i32-222-10010002i3−2i3-1-11−i3i3i3−i30000000000000−2323003i−3i−3i3i3−3−330000000000000000000000000000000
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
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222-2-2-2-22222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4-84-4-84448-40-4-420000444-20000-442-2-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-44-8-44-844-480-42-4000044-2400002-2-44-4002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-444-44444-4-402220000-2-2-2-266-6-62-22-2200-100000-111-3-33300000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-44444-4-402220000-2-2-2-2-6-6662-22-2200-100000-11133-3-300000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4844-8-4-44-840-4-420000-44-4-2000044-22400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-4444-4-44440222−4i34i3002-22-22i3−2i32i3−2i3-2-2-22-200-102i3−2i3001-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-4444-4-444402224i3−4i3002-22-2−2i32i3−2i32i3-2-2-22-200-10−2i32i3001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4484-4-84-44-80-42-400004-4-2-40000-2244400200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-44-444-444022200−4i34i3-22-222i3−2i3−2i32i3-22-2-2-200-10002i3−2i311-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-44-444-4440222004i3−4i3-22-22−2i32i32i3−2i3-22-2-2-200-1000−2i32i311-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000

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