Finite Group Databasebeta

← Group #11778583

Character table — Group #11778583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222222224444444444444444448888888888888888888888888888888888888888881616161616161616363672727272727272
order1222223333666666666666446666666612121212121212124444881212121212121212121212121212121212121212242424242424242424242424242424241212121212121212444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ71111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-11-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ92222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000220-200000
χ102222222222222222222222-2-222222222-2-2-2-2-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000-2-20200000
χ112222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1000000000
χ122222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-12-1-1-1000000000
χ132222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-222-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2111-2111000000000
χ142222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2222-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111000000000
χ15222222-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1222222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1000000000
χ16222222-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-122-2-2-2-2-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-12-1-1-12-1-1000000000
χ17222222-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-222-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111-2111-211000000000
χ18222222-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-222-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11-2111-211000000000
χ19222222-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1222222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1000000000
χ20222222-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-2-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-1-12-1-1-12-1000000000
χ21222222-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-222-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111-2111-21000000000
χ22222222-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-222-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111-2111-21000000000
χ23222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12000000000
χ24222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-2-2-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-1-1-12-1-1-12000000000
χ25222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-222-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111-2111-2000000000
χ26222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-222-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2000000000
χ272222-2-222222222222222222-2-2-2-2-2-2-2-2-222222222000000-2-2-2-200000000000000000000000000000000000000000020-20000
χ282222-2-222222222222222222-2-2-2-2-2-2-2-2-222222222000000-2-2-2-2000000000000000000000000000000000000000000-2020000
χ292222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-200002222000000000000000000000000000000002222-2-2-2-2000000000
χ302222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000222200000000000000000000000000000000-2-2-2-22222000000000
χ312222-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2111-2111-2-21111112-200002-1-1-1000033−3−333−3−333−3−3000033−3−333−3−333−3−32-1-1-1-2111000000000
χ322222-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2111-2111-2-21111112-200002-1-1-10000−3−333−3−333−3−3330000−3−333−3−333−3−3332-1-1-1-2111000000000
χ332222-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2111-2111-2-2111111-2200002-1-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−333-21112-1-1-1000000000
χ342222-2-22-1-1-12-1-1-12-1-1-12-1-1-1-22-2111-2111-2-2111111-2200002-1-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−3-21112-1-1-1000000000
χ352222-2-2-12-1-1-12-1-1-12-1-1-12-1-1-221-2111-21111-2-211112-20000-12-1-133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333-12-1-11-211000000000
χ362222-2-2-12-1-1-12-1-1-12-1-1-12-1-1-221-2111-21111-2-211112-20000-12-1-1−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3-12-1-11-211000000000
χ372222-2-2-12-1-1-12-1-1-12-1-1-12-1-1-221-2111-21111-2-21111-220000-12-1-133−3−3000033−3−3−3−333−3−3330000−3−33333−3−31-211-12-1-1000000000
χ382222-2-2-12-1-1-12-1-1-12-1-1-12-1-1-221-2111-21111-2-21111-220000-12-1-1−3−3330000−3−33333−3−333−3−3000033−3−3−3−3331-211-12-1-1000000000
χ392222-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2211-2111-211111-2-2112-20000-1-12-133−3−3−3−333000033−3−333−3−3−3−333000033−3−3-1-12-111-21000000000
χ402222-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2211-2111-211111-2-2112-20000-1-12-1−3−33333−3−30000−3−333−3−33333−3−30000−3−333-1-12-111-21000000000
χ412222-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2211-2111-211111-2-211-220000-1-12-133−3−3−3−333000033−3−3−3−33333−3−30000−3−33311-21-1-12-1000000000
χ422222-2-2-1-12-1-1-12-1-1-12-1-1-12-1-2211-2111-211111-2-211-220000-1-12-1−3−33333−3−30000−3−33333−3−3−3−333000033−3−311-21-1-12-1000000000
χ432222-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22111-2111-2111111-2-22-20000-1-1-1233−3−333−3−3−3−333000033−3−333−3−3−3−3330000-1-1-12111-2000000000
χ442222-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22111-2111-2111111-2-22-20000-1-1-12−3−333−3−33333−3−30000−3−333−3−33333−3−30000-1-1-12111-2000000000
χ452222-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22111-2111-2111111-2-2-220000-1-1-1233−3−333−3−3−3−3330000−3−333−3−33333−3−30000111-2-1-1-12000000000
χ462222-2-2-1-1-12-1-1-12-1-1-12-1-1-12-22111-2111-2111111-2-2-220000-1-1-12−3−333−3−33333−3−3000033−3−333−3−3−3−3330000111-2-1-1-12000000000
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χ482-2-22-2222222222-2-2-2-2-2-2-2-200-2-2-2-22222000000000000−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-2200000i2−i2
χ492-2-22-2222222222-2-2-2-2-2-2-2-200-2-2-2-22222000000000000i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-200000i2−i2
χ502-2-22-2222222222-2-2-2-2-2-2-2-200-2-2-2-22222000000000000i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-2200000−i2i2
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χ564444-4-4-24-2-2-24-2-2-24-2-2-24-2-24-42-4222-422-2-244-2-2-2-20000002-4220000000000000000000000000000000000000000000000000
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χ924-4-44-44-2-24-2-2-24-222-4222-420022-42-2-24-2000000000000−2i22i200000000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i200000000000000000
χ934-4-44-44-2-24-2-2-24-222-4222-420022-42-2-24-20000000000002i2−2i200000000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i200000000000000000
χ944-4-44-44-2-2-24-2-2-24222-4222-400222-4-2-2-24000000000000−2i22i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i200000000000000000
χ954-4-44-44-2-2-24-2-2-24222-4222-400222-4-2-2-240000000000002i2−2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i200000000000000000
χ968-88-8008-4-4-4-8444-84448-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-800-48-4-44-8444-844-48-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-48-444-8444-84-4-48-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4-48444-8444-8-4-4-4800000000000000000000000000000000000000000000000000000000000000000000000000000

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