Finite Group Databasebeta

← Group #13156432

Character table — Group #13156432

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222244444444444444444488888888888888121212121212121212121212181818181818242424242424242424242424242424242424242424363636363636363636363636363636216
order122233344666666666333666666666121212121212366612121212121212121212444412121212121212124412121212266666666121212121212121212121212266888824242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111111
χ511111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-11111-1-1-1-11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1
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χ11222222-122222222-1-1-1-1-12-1-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000000002222-1-1-1-1-1-1-1-12-1-10000000000000
χ12222222-122222222-1-1-1-1-12-1-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-2-2111100000000022-2-2-1-1-1-11111-2110000000000000
χ13222222-122222222-1-1-1-1-12-1-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1-2-21111000000000-2-2221111-1-1-1-1-2110000000000000
χ14222222-122222222-1-1-1-1-12-1-122-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111122-1-1-1-1000000000-2-2-2-2111111112-1-10000000000000
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χ1922222-12222-12-12-12222-1-12-1-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1002200002222000000222-1-1-1-1-1-100-1-10000-1-1-1-100000220000-1-1-1-10
χ2022222-12222-12-12-12222-1-12-1-1-12-1-12-12-1222-1-1-1-1-1-1-122-1-1-1-1-1-1002200002222000000-2-2-211111100-1-10000-1-1-1-100000-2-2000011110
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χ412-22-222-1-22-2-222-2-211-1-1-1211-2-2-1-1211-221-12-2-111-1-221-11-111-1-100−2i2i3−3−33i−ii−i00i3−i3i3−i300000000000−2i2i3−3−33i−ii−i0−i3i30000000000000
χ422-22-222-1-22-2-222-2-211-1-1-1211-2-2-1-1211-221-12-2-111-1-221-11-111-1-100−2i2i−333−3i−ii−i00−i3i3−i3i300000000000−2i2i−333−3i−ii−i0i3−i30000000000000
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χ442-22-22-12-22-212-1-21-2-222-1-1-21112-1-1-21-2-1-2221-111-11-1-221-111-1-1002i−2i00002i−2i2i−2i000000000i3−i3i3i3−i3−i300−ii0000−ii−ii00000000000−33−330
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χ9688-8-8-4-48004-444-448-8-8-4-424-42-244-2-4400000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4004-444-44-444222-222-2-2-2-22-2000000-1-11100000033−3333−330000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-4004-444-44-444222-222-2-2-2-22-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-48-844-4-44444-4222-2-2-2-2222-2-2-44-444-4-111-12-22-22-2-1-1110000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-8844-4-44444-4222-2-2-2-2222-2-24-44-4-44-111-1-22-22-2211-1-10000000000000000000000000000000000000000000000000000000
χ1018-8-888-4-40084-84-8-44-44-42-4-4-24-44-24420000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-400-4-84-8484-442-4-4244-4-244-2-40000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4800-44444-4-88-8-4-42-44-2244-24-40000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-400-44444-44-442222-2-22-2-2-2-22000000-11-1100000033−33−33330000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-400-44444-44-442222-2-22-2-2-2-22000000-11-11000000−333333−330000000000000000000000000000000000000000000000000000000

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