Finite Group Databasebeta

← Group #72271576

Character table — Group #72271576

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222224444444488888888888888888816161616222244444488888888161616161616161616161616161616161616323232323333666666121212121212121224242424242424242424242424242424242448484848
order124422244488888888224444444488888888448836121266612121224242424242424246612121212121212122424242424242424121224242244222444888888882244444444888888884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-111111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-111111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ611111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-11-1111111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-11-1111111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-11-11
χ711111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-11-1111111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-11-1111111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-11-11
χ811111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1111-11-111111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1111-11-111111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1111-11-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-11-1-11
χ141111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111111-111-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111111-111-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111111-111-1
χ151111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111111-1-111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111111-1-111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111111-1-11
χ172222-2-22-22-222-2-222-2-200002-200000000000000002222-2-22-22-222-2-222-2-200002-200000000000000002222-2-22-22-222-2-222-2-200002-20000000000000000
χ182222-2-22-22-222-2-2-2-2220000-2200000000000000002222-2-22-22-222-2-2-2-2220000-2200000000000000002222-2-22-22-222-2-2-2-2220000-220000000000000000
χ192222-2-22-22-2-2-22222-2-20000-2200000000000000002222-2-22-22-2-2-22222-2-20000-2200000000000000002222-2-22-22-2-2-22222-2-20000-220000000000000000
χ202222-2-22-22-2-2-222-2-22200002-200000000000000002222-2-22-22-2-2-222-2-22200002-200000000000000002222-2-22-22-2-2-222-2-22200002-20000000000000000
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χ2422-2-2222-2-2-2−2i2i−2i2i0000000000-220000002i−2i00000022-2-2222-2-2-2−2i2i−2i2i0000000000-220000002i−2i00000022-2-2222-2-2-2−2i2i−2i2i0000000000-220000002i−2i000000
χ2522-2-22-2-222-200002-22-222-2-200000000000000000022-2-22-2-222-200002-22-222-2-200000000000000000022-2-22-2-222-200002-22-222-2-2000000000000000000
χ2622-2-22-2-222-200002-22-2-2-22200000000000000000022-2-22-2-222-200002-22-2-2-22200000000000000000022-2-22-2-222-200002-22-2-2-222000000000000000000
χ2722-2-22-2-222-20000-22-222-2-2200000000000000000022-2-22-2-222-20000-22-222-2-2200000000000000000022-2-22-2-222-20000-22-222-2-22000000000000000000
χ2822-2-22-2-222-20000-22-22-222-200000000000000000022-2-22-2-222-20000-22-22-222-200000000000000000022-2-22-2-222-20000-22-22-222-2000000000000000000
χ2922-2-2-22-2-22200002-2-2200000000002i−2i2i−2i0000000022-2-2-22-2-22200002-2-2200000000002i−2i2i−2i0000000022-2-2-22-2-22200002-2-2200000000002i−2i2i−2i00000000
χ3022-2-2-22-2-22200002-2-220000000000−2i2i−2i2i0000000022-2-2-22-2-22200002-2-220000000000−2i2i−2i2i0000000022-2-2-22-2-22200002-2-220000000000−2i2i−2i2i00000000
χ3122-2-2-22-2-2220000-222-200000000002i−2i−2i2i0000000022-2-2-22-2-2220000-222-200000000002i−2i−2i2i0000000022-2-2-22-2-2220000-222-200000000002i−2i−2i2i00000000
χ3222-2-2-22-2-2220000-222-20000000000−2i2i2i−2i0000000022-2-2-22-2-2220000-222-20000000000−2i2i2i−2i0000000022-2-2-22-2-2220000-222-20000000000−2i2i2i−2i00000000
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χ3422-2-2-2-222-222i−2i−2i2i000000000000-22000000−2i2i000022-2-2-2-222-222i−2i−2i2i000000000000-22000000−2i2i000022-2-2-2-222-222i−2i−2i2i000000000000-22000000−2i2i0000
χ3522-2-2-2-222-22−2i2i2i−2i0000000000002-2000000−2i2i000022-2-2-2-222-22−2i2i2i−2i0000000000002-2000000−2i2i000022-2-2-2-222-22−2i2i2i−2i0000000000002-2000000−2i2i0000
χ3622-2-2-2-222-22−2i2i2i−2i000000000000-220000002i−2i000022-2-2-2-222-22−2i2i2i−2i000000000000-220000002i−2i000022-2-2-2-222-22−2i2i2i−2i000000000000-220000002i−2i0000
χ3744444-4-4-4-4400000000000000000000000000000044444-4-4-4-4400000000000000000000000000000044444-4-4-4-44000000000000000000000000000000
χ384444-44-44-4-40000000000000000000000000000004444-44-44-4-40000000000000000000000000000004444-44-44-4-4000000000000000000000000000000
χ398-88i−8i0000000000000000000000000000000000008-88i−8i0000000000000000000000000000000000008-88i−8i000000000000000000000000000000000000
χ408-8−8i8i0000000000000000000000000000000000008-8−8i8i0000000000000000000000000000000000008-8−8i8i000000000000000000000000000000000000
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ43111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ44111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1
χ4511111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-111111111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-111-11-11
χ4611111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-11-1111111111111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-11111-1-11-11-1
χ4711111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-11-1111111111111111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-11111-1-1-1-1111-11-1
χ4811111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1111-11-111111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-111-1-1-11-11
χ491111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ501111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ511111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1
χ521111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ531111111111-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111-1-11111-111-1
χ541111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111111-111-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-1-1-11-1-11
χ551111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-11111111-1-11
χ561111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111111-1-111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-111-1
χ572222-2-22-22-222-2-222-2-200002-200000000000000002222-2-22-22-222-2-222-2-200002-20000000000000000-2-2-2-222-22-22-2-222-2-2220000-220000000000000000
χ582222-2-22-22-222-2-2-2-2220000-2200000000000000002222-2-22-22-222-2-2-2-2220000-220000000000000000-2-2-2-222-22-22-2-22222-2-200002-20000000000000000
χ592222-2-22-22-2-2-22222-2-20000-2200000000000000002222-2-22-22-2-2-22222-2-20000-220000000000000000-2-2-2-222-22-2222-2-2-2-22200002-20000000000000000
χ602222-2-22-22-2-2-222-2-22200002-200000000000000002222-2-22-22-2-2-222-2-22200002-20000000000000000-2-2-2-222-22-2222-2-222-2-20000-220000000000000000
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χ82222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111110000000000000000000000000000000000000000
χ83222222222222222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111110000000000000000000000000000000000000000
χ84222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-10000000000000000000000000000000000000000
χ8522222222222222-2-2-2-22-22-2-2-222-2-222-2-222-2-22-22-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-111-11-110000000000000000000000000000000000000000
χ8622222222222222-2-2-2-22-22-2-2-2-2-22222-2-2-2-222-22-22-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1-1-11111-1-11-11-10000000000000000000000000000000000000000
χ8722222222222222-2-2-2-2-22-22-2-222-2-2-2-22222-2-2-22-22-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-11111-1-1-1-1111-11-10000000000000000000000000000000000000000
χ8822222222222222-2-2-2-2-22-22-2-2-2-222-2-222-2-2222-22-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-111-1-111-1-1-11-110000000000000000000000000000000000000000
χ892222222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1110000000000000000000000000000000000000000
χ902222222222-2-2-2-222222222-2-2-2-222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-10000000000000000000000000000000000000000
χ912222222222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-222-2-222-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-10000000000000000000000000000000000000000
χ922222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1110000000000000000000000000000000000000000
χ932222222222-2-2-2-2-2-2-2-22-22-2222222-2-222-2-2-2-22-2-22-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111-1-11111-111-10000000000000000000000000000000000000000
χ942222222222-2-2-2-2-2-2-2-22-22-222-2-2-2-2-2-2222222-222-2-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1111111-1-1-1-1-1-11-1-110000000000000000000000000000000000000000
χ952222222222-2-2-2-2-2-2-2-2-22-2222222222-2-2-2-2-2-2-222-2-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-11111111-1-110000000000000000000000000000000000000000
χ962222222222-2-2-2-2-2-2-2-2-22-2222-2-2-2-222-2-222222-2-22-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-111-1-1-1-1-111-10000000000000000000000000000000000000000
χ974444-4-44-44-444-4-444-4-400004-40000000000000000-2-2-2-222-22-22-2-222-2-2220000-2200000000000000000000000000000000000000000000000000000000
χ984444-4-44-44-444-4-4-4-4440000-440000000000000000-2-2-2-222-22-22-2-22222-2-200002-200000000000000000000000000000000000000000000000000000000
χ994444-4-44-44-4-4-44444-4-40000-440000000000000000-2-2-2-222-22-2222-2-2-2-22200002-200000000000000000000000000000000000000000000000000000000
χ1004444-4-44-44-4-4-444-4-44400004-40000000000000000-2-2-2-222-22-2222-2-222-2-20000-2200000000000000000000000000000000000000000000000000000000
χ10144-4-4444-4-4-44i−4i4i−4i00000000004-40000004i−4i000000-2-222-2-2-2222−2i2i−2i2i0000000000-22000000−2i2i0000000000000000000000000000000000000000000000
χ10244-4-4444-4-4-44i−4i4i−4i0000000000-44000000−4i4i000000-2-222-2-2-2222−2i2i−2i2i00000000002-20000002i−2i0000000000000000000000000000000000000000000000
χ10344-4-4444-4-4-4−4i4i−4i4i00000000004-4000000−4i4i000000-2-222-2-2-22222i−2i2i−2i0000000000-220000002i−2i0000000000000000000000000000000000000000000000
χ10444-4-4444-4-4-4−4i4i−4i4i0000000000-440000004i−4i000000-2-222-2-2-22222i−2i2i−2i00000000002-2000000−2i2i0000000000000000000000000000000000000000000000
χ10544-4-44-4-444-400004-44-444-4-4000000000000000000-2-222-222-2-220000-22-22-2-2220000000000000000000000000000000000000000000000000000000000
χ10644-4-44-4-444-400004-44-4-4-444000000000000000000-2-222-222-2-220000-22-2222-2-20000000000000000000000000000000000000000000000000000000000
χ10744-4-44-4-444-40000-44-444-4-44000000000000000000-2-222-222-2-2200002-22-2-222-20000000000000000000000000000000000000000000000000000000000
χ10844-4-44-4-444-40000-44-44-444-4000000000000000000-2-222-222-2-2200002-22-22-2-220000000000000000000000000000000000000000000000000000000000
χ10944-4-4-44-4-44400004-4-4400000000004i−4i4i−4i00000000-2-2222-222-2-20000-222-20000000000−2i2i−2i2i000000000000000000000000000000000000000000000000
χ11044-4-4-44-4-44400004-4-440000000000−4i4i−4i4i00000000-2-2222-222-2-20000-222-200000000002i−2i2i−2i000000000000000000000000000000000000000000000000
χ11144-4-4-44-4-4440000-444-400000000004i−4i−4i4i00000000-2-2222-222-2-200002-2-220000000000−2i2i2i−2i000000000000000000000000000000000000000000000000
χ11244-4-4-44-4-4440000-444-40000000000−4i4i4i−4i00000000-2-2222-222-2-200002-2-2200000000002i−2i−2i2i000000000000000000000000000000000000000000000000
χ11344-4-4-4-444-444i−4i−4i4i0000000000004-40000004i−4i0000-2-22222-2-22-2−2i2i2i−2i000000000000-22000000−2i2i00000000000000000000000000000000000000000000
χ11444-4-4-4-444-444i−4i−4i4i000000000000-44000000−4i4i0000-2-22222-2-22-2−2i2i2i−2i0000000000002-20000002i−2i00000000000000000000000000000000000000000000
χ11544-4-4-4-444-44−4i4i4i−4i0000000000004-4000000−4i4i0000-2-22222-2-22-22i−2i−2i2i000000000000-220000002i−2i00000000000000000000000000000000000000000000
χ11644-4-4-4-444-44−4i4i4i−4i000000000000-440000004i−4i0000-2-22222-2-22-22i−2i−2i2i0000000000002-2000000−2i2i00000000000000000000000000000000000000000000
χ11788888-8-8-8-88000000000000000000000000000000-4-4-4-4-44444-40000000000000000000000000000000000000000000000000000000000000000000000
χ1188888-88-88-8-8000000000000000000000000000000-4-4-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000
χ11916-1616i−16i000000000000000000000000000000000000-88−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-16−16i16i000000000000000000000000000000000000-888i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000

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