Finite Group Databasebeta

← Group #11864926

Character table — Group #11864926

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222444444444448888888888121212121212242424242424242424363636361122222222244444444444888888888812121212121224242424242424242436363636
order122334466663446666121212121212121212121212121244121212124881212242424242244222664466666446666121212121212121212121212121244121212124881212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-111111111-1-1-1-111-1-1-1-1111111-11-1-1-111-1-11-11-1111111111111-1-111111111-1-1-1-111-1-1-1-1111111-11-1-1-111-1-11-11-1
χ6111111111111-1-111111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-111-11-11111111111111-1-111111111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-111-11-11
χ7111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-11-11111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11111-1-1-11-11
χ8111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1111-11-1111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1111-11-1
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χ53111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
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χ56111111111111-1-111111111-1-1-1-111-1-1-1-1111111-11-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-1111-1-111-11-11
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χ954-40440000-4-4400000-400000000000000-22-22-220000000000000-440-4-4000044-4000004000000000000002-22-22-20000000000000
χ964-40-2400−2i32i3-42-2000−2i32i32000000000000002-2−1−i31+i3−1+i31−i30000000000000-4402-4002i3−2i34-220002i3−2i3-200000000000000-221+i3−1−i31−i3−1+i30000000000000
χ974-40-2400−2i32i3-42-2000−2i32i3200000000000000-221+i3−1−i31−i3−1+i30000000000000-4402-4002i3−2i34-220002i3−2i3-2000000000000002-2−1−i31+i3−1+i31−i30000000000000
χ984-40-24002i3−2i3-42-20002i3−2i32000000000000002-2−1+i31−i3−1−i31+i30000000000000-4402-400−2i32i34-22000−2i32i3-200000000000000-221−i3−1+i31+i3−1−i30000000000000
χ994-40-24002i3−2i3-42-20002i3−2i3200000000000000-221−i3−1+i31+i3−1−i30000000000000-4402-400−2i32i34-22000−2i32i3-2000000000000002-2−1+i31−i3−1−i31+i30000000000000
χ1008-808-400004-8-4000004000000000000000000000000000000000-880-840000-48400000-4000000000000000000000000000000000
χ1018-80-4-400−4i34i34420002i3−2i3-2000000000000000000000000000000000-88044004i3−4i3-4-4-2000−2i32i32000000000000000000000000000000000
χ1028-80-4-4004i3−4i3442000−2i32i3-2000000000000000000000000000000000-8804400−4i34i3-4-4-20002i3−2i32000000000000000000000000000000000

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