Finite Group Databasebeta

← Group #13022424

Character table — Group #13022424

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122224444444444444444444488888888888888888888888888881010101010101010202020204040404040404040404040404040404040404040
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χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
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χ12111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
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χ824-4-4-4-4444-444-40000-11111-111-1-1-1-111-1-1004-4−555−55−5−55−5−55555−5−5-1-1-1-1111100000000000000000000000000000000
χ834-4-4-4-4444-444-40000-11111-111-1-1-1-111-1-100-445−5−55−555−5−5−55555−5−51111-1-1-1-100000000000000000000000000000000
χ844-4-4-4-4444-444-40000-11111-111-1-1-1-111-1-100-44−555−55−5−5555−5−5−5−5551111-1-1-1-100000000000000000000000000000000
χ85888-8-8-88-888-8-80000-2-2-2222-2-2-2-222222-2000000000000000000000000000000000000000000000000000000000000
χ86888-8-8-88-8-8-8880000-2-2-22222222-2-2-2-22-2000000000000000000000000000000000000000000000000000000000000
χ8788-88-88-8-800000000-2-22-22-225−2525−25−2525−252522000000000000000000000000000000000000000000000000000000000000
χ8888-88-88-8-800000000-2-22-22-2−2525−252525−2525−2522000000000000000000000000000000000000000000000000000000000000
χ898-88-888-8-800000000-22-22-2-225−25−252525−25−252522000000000000000000000000000000000000000000000000000000000000
χ908-88-888-8-800000000-22-22-2-2−252525−25−252525−2522000000000000000000000000000000000000000000000000000000000000
χ918-8-888-88-88-88-80000-222-2-22-2-222-2-2222-2000000000000000000000000000000000000000000000000000000000000
χ928-8-888-88-8-88-880000-222-2-2222-2-222-2-22-2000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.