Finite Group Databasebeta

← Group #10824891

Character table — Group #10824891

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444448888888888888888888888888888888888881212121212121212242424242424242424242424
order1222444422344444444446661212121266121212121212121212122244666688888888121212122424242424242424242424242424242488888888244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-11-111-1-1
χ101111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-11-1-111
χ111111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-1-11-1-111
χ121111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1111-111-1-1
χ131111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-111
χ141111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1111-1-1
χ151111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-111-1111-1-1
χ161111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-11-1-1-111
χ172222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-222-2-2-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-222-2-2-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ192222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ202222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000000000000000
χ212222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000000000000000
χ222222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-100000000000000000000
χ232222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000−i3−i3i3i32i−2i2i−2i0000−i3−i3i3i3−i−iii−i−iii33−3−333−3−300000000000000000000
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χ252222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i32i−2i2i−2i0000i3i3−i3−i3−i−iii−i−iii−3−333−3−33300000000000000000000
χ262222222222-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-111110000i3i3−i3−i3−2i2i−2i2i0000i3i3−i3−i3ii−i−iii−i−i33−3−333−3−300000000000000000000
χ2722222222-2-22-2-222-2-222-2-22222222-2-222-2-2-2-222-2-200000000000000000000000000000000000022-2-222-2-2000000000000
χ2822222222-2-22-2-222-2-222-2-22222222-2-222-2-2-2-222-2-2000000000000000000000000000000000000-2-222-2-222000000000000
χ2922222222-2-22-2-2-2-222-2-2222222222-2-2-2-222-2-2-2-22200000000000000000000000000000000000000000000220000-2-20000
χ3022222222-2-22-2-2-2-222-2-2222222222-2-2-2-222-2-2-2-22200000000000000000000000000000000000000000000-2-20000220000
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χ322222-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-2222222-2-2-2-2-2-200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ332222-2-2-2-222-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-11111110000−i3−i3i3i32i−2i−2i2i0000i3i3−i3−i3−i−iiiii−i−i33−3−3−3−33300000000000000000000
χ342222-2-2-2-222-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-11111110000−i3−i3i3i3−2i2i2i−2i0000i3i3−i3−i3ii−i−i−i−iii−3−33333−3−300000000000000000000
χ352222-2-2-2-222-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-11111110000i3i3−i3−i32i−2i−2i2i0000−i3−i3i3i3−i−iiiii−i−i−3−33333−3−300000000000000000000
χ362222-2-2-2-222-1-2-22222-2-2-2-2-1-1-11111-1-1-1-1-1-11111110000i3i3−i3−i3−2i2i2i−2i0000−i3−i3i3i3ii−i−i−i−iii33−3−3−3−33300000000000000000000
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χ382222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1111111-1-1-1-122-2-2-1-1-1-1-2-222-2-22211111111-1-1-1-11111-1-1-1-100000000000000000000
χ392222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1111111-1-1-1-1-2-222111122-2-2-2-222-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ402222-2-2-2-222-1-2-2-2-2-2-22222-1-1-11111-1-1111111-1-1-1-1-2-2221111-2-22222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
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χ442222-2-2-2-2-2-2222-2-22222-2-2222-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000000000000-2-22222-2-2000000000000
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χ462-22-22i2i−2i−2i2-222i−2i2i−2i2i−2i2-22-22-2-22i2i−2i−2i2-22i−2i2i−2i2i−2i2-22-20000000000000000000000000000000000000000000000000000-22−2i2i
χ472-22-22i2i−2i−2i2-222i−2i−2i2i−2i2i-22-222-2-22i2i−2i−2i2-2−2i2i−2i2i2i−2i-22-2200000000000000000000000000000000000000000000002-22i−2i000000
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χ522-22-22i2i−2i−2i-222−2i2i−2i2i2i−2i-222-22-2-22i2i−2i−2i-22−2i2i2i−2i−2i2i-222-2-22−2i2i-22-2200000000−2i2i−2i2i000000000000000000000000000000000000
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χ9488-8-8-88-8800-4000000000044-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ958-8-888i−8i−8i8i00-400000000004-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ968-8-88−8i8i8i−8i00-400000000004-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000

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