Finite Group Databasebeta

← Group #14517716

Character table — Group #14517716

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97
size1122222333333333333333366666666181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818545454545454545454545454545454545454
order122366633333333666666666666666633333333366666666666666666666666666699918181818181818181824666666661212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32
χ5111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32
χ711-111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1-11-1-11-111111111-1-1-1-1-1-1-1-1
χ811-111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-11-1-11-1-1-11-1-1-1-1-1-1-1-111111111
χ911-111-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32
χ1011-111-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32-11-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ1111-111-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32
χ1211-111-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32-11-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ1322222222222222222222222222222222-1-12-1-12-1-12-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ142222222222222222222222222222222-12-1-12-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ152222222222222222222222222222222-1-12-1-12-1-12-1-12-1-1-1-122-1-12-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ162222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000000000
χ17222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1−1+i31−i321−i32−1−i31+i321+i322-1-122-1-1-1-1−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000
χ18222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-11−i32−1+i31−i321+i32−1−i31+i32-12-1-1-122-1-11−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000
χ19222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-12-1-1-1-1221−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000
χ20222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i322−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000
χ21222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1−1−i31+i321+i32−1+i31−i321−i322-1-122-1-1-1-1−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000
χ22222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-11+i32−1−i31+i321−i32−1+i31−i32-12-1-1-122-1-11+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000
χ23222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3-1-12-1-1-1-1221+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000
χ24222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i322−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000
χ2522-222-2-22222222222222222-2-2-2-2-2-2-2-22-1-12-1-12-1-12-1-1-2-211112-1-1-2-211112-1-1-2-21111-1-1-1-111-111-111000000000000000000
χ2622-222-2-22222222222222222-2-2-2-2-2-2-2-2-12-1-12-1-12-1-12-111-2-211-12-111-2-211-12-111-2-211-1-1-1-111-111-111000000000000000000
χ2722-222-2-22222222222222222-2-2-2-2-2-2-2-2-1-12-1-12-1-12-1-121111-2-2-1-121111-2-2-1-121111-2-2-1-1-1-111-111-111000000000000000000
χ2822-222-2-22222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-11111112222-2-22-2-22-2-2000000000000000000
χ2922-222-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i32-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1-2-21111−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000000000
χ3022-222-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-12-11−i32−1+i31−i321+i32−1−i31+i32-12-111-2-2111−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000000000
χ3122-222-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121111-2-21−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32000000000000000000
χ3222-222-2-222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i322−1+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3000000000000000000
χ3322-222-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1-2-21111−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000000000
χ3422-222-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-12-11+i32−1−i31+i321−i32−1+i31−i32-12-111-2-2111+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000000000
χ3522-222-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121111-2-21+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3-11+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32000000000000000000
χ3622-222-2-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i322−1−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3000000000000000000
χ372-202-20022222222-2-2-2-2-2-2-2-200000000222222222-2-2-2000000-2-2-2000000-2-2-2000000222-200-200-200000000000000000000
χ382-202-20022222222-2-2-2-2-2-2-2-2000000002-1-12-1-12-1-1-21100i3−i3i3−i3-21100i3−i3i3−i3-21100i3−i3i3−i3-1-1-11i3−i31i3−i31i3−i3000000000000000000
χ392-202-20022222222-2-2-2-2-2-2-2-2000000002-1-12-1-12-1-1-21100−i3i3−i3i3-21100−i3i3−i3i3-21100−i3i3−i3i3-1-1-11−i3i31−i3i31−i3i3000000000000000000
χ402-202-20022222222-2-2-2-2-2-2-2-200000000-12-1-12-1-12-11-21i3−i300i3−i31-21i3−i300i3−i31-21i3−i300i3−i3-1-1-11−i3i31−i3i31−i3i3000000000000000000
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χ896-606-600−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ906-606-600−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-600000000000000000000000000000000000000000000000000000000000000000000000000
χ916-606-600−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ926-606-600−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-600000000000000000000000000000000000000000000000000000000000000000000000000
χ936-606-600−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ94181818-9-9-9-9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ951818-18-9-999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9618-180-999i3−9i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9718-180-99−9i39i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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