Finite Group Databasebeta

← Group #13172352

Character table — Group #13172352

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order122233366666666623336666666666666666636666666666662244446666666666666666121212121212121212121212121212121212222444666612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-1111-1-1-11111-1-1-1-11-1-1-11-1-1-11-11-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-111111111111111111-1-111-1-1-1111-1-1-1-11111-11-1-1-11-1-1-11-11-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-11-1-1-11-1-1-11-11-111
χ711111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111111-1-1-11-1-1-11-11-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-111-1-111-1-11-11-1-11111-1-11-11-1
χ101111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-111111-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-1-1-11111-11-1-1-1-111-1-11-11
χ111111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-11111-1-1-1-1-1111-1-1-1-1111-11
χ121111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-111-11-111-111-1-11-1
χ131111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111111-1-11-1-111-1-111-1-1-111-11-111-111-1-1-11
χ141111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-1-11111-1-1-1-111-1-1-1111-1-1-1-11111-1
χ151111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-1-111-1111-1-1-1-11111-1-111-11-1-1-1-111-1-111-1
χ161111111111111111-1111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-1-111-1-1111-11-1-11111-1-11-1-11
χ17222222-12222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122020222-1-122-1-1-1-1-1-1-1-1-1-10022000-12-10000-1-1-1-1020002000-10-1000
χ18222222-12222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1220-20-222-1-122-1-1-1-1-1-1-1-1-1-100-2-20001-21000011110-2000-2000101000
χ19222222-12222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-2-20202-2-211-2-211111111110022000-12-10000-1-1-1-10-2000-2000101000
χ20222222-12222-1-12-1222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-2-20-20-2-2-211-2-2111111111100-2-20001-2100001111020002000-10-1000
χ21222222-12222-1-12-12-22-1-1-2-2112-1-1-1-1111122-1-1-1-2-2-211-1-1-111112-2020-222-1-1-2-211-1-1-1-111110022000-1-210000-1-1110-2000200010-1000
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χ23222222-12222-1-12-12-22-1-1-2-2112-1-1-1-1111122-1-1-1-2-2-211-1-1-11111-22020-2-2-21122-1-11111-1-1-1-10022000-1-210000-1-11102000-2000-101000
χ24222222-12222-1-12-12-22-1-1-2-2112-1-1-1-1111122-1-1-1-2-2-211-1-1-11111-220-202-2-21122-1-11111-1-1-1-100-2-200012-1000011-1-10-2000200010-1000
χ2522222-1222-1-122-1222-12-1-1-122-12-1-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1222020-1-122-1-122-1-1-1-1-1-1-1-12200-12-1000-1-1-1-1000020002000-10-10000
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χ2722222-1222-1-122-1222-12-1-1-122-12-1-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-2-2202011-2-211-2-2111111112200-12-1000-1-1-1-10000-2000-20001010000
χ2822222-1222-1-122-1222-12-1-1-122-12-1-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-2-2-20-2011-2-211-2-211111111-2-2001-210001111000020002000-10-10000
χ2922222-1222-1-122-122-2-12-111-2-2-12-1-1-11111-1-122-1-211-2-2-1-1-111112-220-20-1-12211-2-2-1-1-1-111112200-1-21000-1-11100002000-2000-1010000
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χ362222-122-1-1222222-12-1-122222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000001111-21-2-21-211111111002200-1-10000-100
χ372222-122-1-1222222-1-2-1-12-2-2-2-2-1-1222-2-2-2-2-1-1-1-1-111111-1-1-111110022-2-20000000000000000-1-1-1-121-221-2-1-111-1-111002-200-1-10000100
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χ4144444-2-244-2-2-2-2-2-244-2-21-2-2-2-2-2-21111111-2-2-2-214-2-2-2-21111111440000-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
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χ924-4-44-2-242-222-44-2-4201-2-22i3−2i3001222-22i3−2i3−2i32i3-1-12-210−i3i300-1-11−i3i3i3−i3000000000000000000000023−2300000000−33−3i3i0000000000000000000
χ934-4-44-2-242-222-44-2-4201-2-22i3−2i3001222-22i3−2i3−2i32i3-1-12-210−i3i300-1-11−i3i3i3−i30000000000000000000000−2323000000003−33i−3i0000000000000000000
χ948888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-42222222222222-1-42222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422222-2-2-2-22222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-8-48-4448-8-44-84-40-42-400004-2-4440000-442-22000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4844-448-84-8-402-4-40000-24-44400002-2-442000002-2-200000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-444-44-4444-402220000-2-22-2-266-6-62-22-2-100000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-44-4444-402220000-2-22-2-2-6-6662-22-2-100000-11133-3-30000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-48-444-4-8-848402-4-40000-2-44-440000-2244200000-22-200000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-444-4444-44022200−4i34i3-22-22-22i3−2i32i3−2i3-22-2-2-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4-444-4444-440222004i3−4i3-22-22-2−2i32i3−2i32i3-22-2-2-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-44-4-8-84-48440-42-40000-4-244-4000044-22200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4444-4-4440222−4i34i3002-2-2-222i3−2i3−2i32i3-2-2-22-102i3−2i30011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4444-4-44402224i3−4i3002-2-2-22−2i32i32i3−2i3-2-2-22-10−2i32i30011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000

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