Finite Group Databasebeta

← Group #13172353

Character table — Group #13172353

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order1222223336666666663336666666666666663666666666666622244466661212121244441212121266666666661212121212121212121244441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-1111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111-111-1111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1111-11111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111111-111-111-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-11111-1111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-11
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-11-11-1-111-1-111111-1
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-1-1-111-1-11111111-11111-1-111-11-1-1-1-111-1-11-1-1111-1-1-1-111-1-11-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-111-1-11111111-1-1-111-1-1-1-1-1111-1-11111-111-1-1-11111-1-1-1-1-11
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1111-1-111111-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-11-1
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-11111-1-1-1-1111111-11-1-1-1-111-1-11-11111-1-1111-1-1111-1-1-1-111-1-1-11
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χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1111-1
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χ362222-2-22-1222-12-12-122-12-1-2-211-2-2-1-122-1-1-12-1-111-2-211-1-1-11111-20-2202-2-200220000000000101-2110011-10-12-1-100-1-12-200-1-11100000000
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χ412-2-222-2222-2-2-2-222-2-222222-22-22-2-2-2-2-2-2-222222-22-22-22-2-222-2-2000000000000002-22-222-2-2000000000000000000000000000000002-200
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χ934-4-44-44-2-24222-4-242-4-21-2-22-22-2-44-1-122221-2-21-112-22-21-1-1-1-111000000−2i32i3002i3−2i300000000000000i3−i300000000−i3i300000000000000000000
χ944-4-44-44-2-24222-4-242-4-21-2-22-22-2-44-1-122221-2-21-112-22-21-1-1-1-1110000002i3−2i300−2i32i300000000000000−i3i300000000i3−i300000000000000000000
χ95888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ9788-8-8008-4-48-8-4-44444-8-4-42000000-44-442-244-22000000-22-200000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-48-4-448-4-84-844-42-4000000-442-2-444-242000000-22-200000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-48-44-484-84-842-4-40000002-2-44-44-2442000000-22-200000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-4-4-44-4-4444442220000002-22-22-2-2-2-2-10000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ10188-8-800-4-4-4-44-4-4444442220000002-22-22-2-2-2-2-10000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1028-88-8008-4-4-884444-4-4-8-4-420000004-44-4-2244-22000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-48-44-4-84-848-44-42-40000004-4-224-44-242000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-4-484-44-84-8-4842-4-4000000-224-44-4-2442000000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4-4-44-44444-4-44222000000-22-22-22-2-2-2-100000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1068-88-800-4-4-44-44444-4-44222000000-22-22-22-2-2-2-100000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-4-4-44444-4-444-4222-44-44-44-2-2-2-2-2-2222-12-22-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-4-4-44444-4-444-42224-44-44-4-2-2-2-2-2-2222-1-22-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000

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