Finite Group Databasebeta

← Group #13172307

Character table — Group #13172307

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181818182424242424242424363636363636363672727272108108
order122222333666666666666633366666666666666666666636666666662224446666666666666666121212121212121212121212121212122222666612121212444466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-11-1
χ101111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-11-1-11-1-1111-1-11-11
χ111111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-1-111-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1111-1-1-11-11-11
χ121111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-11-1-11-1111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-111-1-1-111-111-11-1
χ131111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-111-11-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-111-1-11
χ141111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-111-1-11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11-1111-1-1-11-111-1
χ151111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-11-111-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-11-1-1111-1-111-1
χ161111-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-111111-1-1-1-1111-1-1111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-11-11-1-11
χ1722222222-1-1-1-1-1-1-12-122222-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12200222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000000000-1-1-1-1000000
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χ1922222222-1-1-1-1-1-1-12-122222-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-2-20022-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000000000001111000000
χ2022222222-1-1-1-1-1-1-12-122222-12-12222-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-2-200-2-2-2-2-2-21111111111111111-2-2-2-2111111112222000000000000-1-1-1-1000000
χ212222222-12222222-12222-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000002-1-1-1-12-1-122000000-1-10000
χ222222222-12222222-12222-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-21111-211-2-2000000110000
χ232222222-12222222-12222-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-222001111-2-2-2-211111111000000000000000000002-1-1-1-12-1-1-2-2000000110000
χ242222222-12222222-12222-1-12-1-122-1-1222222-1-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-2-2-2-2001111-2-2-2-21111111100000000000000000000-21111-21122000000-1-10000
χ25222222-12222222222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100222200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-10000-12-1-12-1-1-10022000000-1-100
χ26222222-12222222222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-10022-2-20000000000000000-2-2-2-21111111111110000-12-1-12-1-1-100-2-20000001100
χ27222222-12222222222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100-2-22200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-100001-211-211100-2-20000001100
χ28222222-12222222222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000000000-2-2-2-211111111111100001-211-21110022000000-1-100
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χ302222-2-222-1-1-111112-122222-12-1-2-2-2-2-1-1111122-1-1-111112-1-1-2-2-1-1-111112-200-2222-2-2-1-111-1-1-1-1111111-1-1-2-2221111-1-1-1-1-2-22200000000000011-1-1000000
χ312222-2-222-1-1-111112-122222-12-1-2-2-2-2-1-1111122-1-1-111112-1-1-2-2-1-1-11111-22002-2-2-22211-1-11111-1-1-1-1-1-11122-2-2-1-1-1-11111-2-22200000000000011-1-1000000
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χ332222-2-22-1222-2-2-2-2-12222-1-12-1-1-2-21122-2-2-2-2-1-1-1-1-11111-12-111-1-1-111112-22-200-1-11122-2-2-1-1-1-11111000000000000000000002-1-1-11-2112-2000000-110000
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χ362222-2-22-1222-2-2-2-2-12222-1-12-1-1-2-21122-2-2-2-2-1-1-1-1-11111-12-111-1-1-11111-22-220011-1-1-2-2221111-1-1-1-100000000000000000000-2111-12-1-12-2000000-110000
χ372222-2-2-12222-2-2-2-222-1-1-122-1-1211-2-2-1-11111-1-1222-2-2-2-2-1-1-111-1-1-11111002-22-2000000000000000022-2-2-1-111-1-1-1-111110000-12-1-1-2111002-2000000-1100
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χ974-4-444-44-2-222-2-222-2-24-4-422-2-214-4-2222-2-222221-1-111-1-1-2-21-221-1-111-1-100000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
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χ994-4-444-4-24-222-2-2224-2-222-4-41-2-2-224-4-1-111-1-122-222-2-222-211-221-1-111-1-10000000000000000000000−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i300000000000000000000000000
χ1004-4-444-4-24-222-2-2224-2-222-4-41-2-2-224-4-1-111-1-122-222-2-222-211-221-1-111-1-100000000000000000000002i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000000000000000
χ1014-4-444-4-2-24-4-444-4-4-24-22222-21-2-22-2222-2-222-1-1-222-2-2221-211-11-1-111-1-1000000000000000000000000000000000000000000003-3003-300000000000000
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χ1084-4-44-44-24-22222-2-24-2-222-4-41-2-22-2-44-1-1-1-11122-22222-2-2-2112-21-1-1-1-11100000000000000000000002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i300000000000000000000000000
χ1094-4-44-44-2-24-4-4-4-444-24-22222-21-22-22-22222-2-2-1-1-22222-2-21-21-111-1-1-1-111000000000000000000000000000000000000000000003-300-3300000000000000
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χ111888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-422222222222222222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1128888-8-8-4-4-4-4-44444-4-4-4-4-4-4-4222444422-2-2-2-222222-2-2-2-222-1-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-4-488-800004-84-44-44-42-40000-4400002-24-440000-24200-22-200000000000000000000000000000000000000000000000000000000000000000000
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χ11588-8-800-4-4-4-444i3−4i34i3−4i3444-44-4422200002-2−2i32i3−2i32i32-2-22-2−2i32i3−2i32i3-2-2-1001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800-4-48-8800004-844-44-4-42-400004-40000-2244-40000-24200-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-4-4-44-4−4i34i34i3−4i34444-44-42220000-222i3−2i3−2i32i3-22-2-222i3−2i3−2i32i3-2-2-10011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-4-4-44-44i3−4i3−4i34i34444-44-42220000-22−2i32i32i3−2i3-22-2-22−2i32i32i3−2i3-2-2-10011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-8-4-4-444-4-444-4-4-44444222-44-44-2-222-2-2-2-22-2-222-2-222-12-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-4-4-44444-4-4-4-4-444442224-44-4-2-2-2-222-2-22-2-2-2-22222-1-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000

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