Finite Group Databasebeta

← Group #72341286

Character table — Group #72341286

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112222222444444444444444444444444444444444444888888888888888888888888888888888888888888881616323232323232323232323232323232
order1222222222222222222222222222244444444444444442222224444448888888888888888888888888888888844444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1iiii−i−i−i−i
χ61111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-11111−i−i−i−iiiii
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11111-1-1-1-1−i−i−i−iiiii
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-11111iiii−i−i−i−i
χ9111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i111-1-111-1-1ii−i−iii−i−i
χ10111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-111-1-111−i−iii−i−iii
χ11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii111-1-111-1-1−i−iii−i−iii
χ12111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-111-1-111ii−i−iii−i−i
χ13111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-1-11111-1-1
χ15111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1
χ16111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ171111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11-11-11-11-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-11-11-11-1i−ii−ii−ii−i
χ181111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11-11-11-11-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11-11-11-11−ii−ii−ii−ii
χ191111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11-11-11-11-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-11-11-11-1−ii−ii−ii−ii
χ201111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-11-11-11-11-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-11-11-11-11i−ii−ii−ii−i
χ211111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-11-1-11-1-11-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-111-11-1-11-11
χ221111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-11-1-11-1-11-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-11-1-11-111-11-1
χ231111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-11-1-11-1-11-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-11-1-11-11-11-111-11-1
χ241111111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-11-1-11-1-11-1-11-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-111-11-11-11-1-11-11
χ251111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11
χ261111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1
χ271111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-111-1-111-1
χ281111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11
χ291111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-11-111-1i−i−ii−iii−i
χ301111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-11-1-11−iii−ii−i−ii
χ311111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-11-111-1−iii−ii−i−ii
χ321111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-11-1-11i−i−ii−iii−i
χ33222222222-2-2-2-2222222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000
χ34222222222-2-2-2-2222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-22220000000000000000000000000000000000000000000000000
χ35222222222-2-2-2-222-2-2-2-22222-2-2222222-2-2-2-22222-2-2-2-2-2-2-222-2-22-222-2-220000000000000000000000000000000000000000000000000
χ36222222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2222222-22222-2-22222-20000000000000000000000000000000000000000000000000
χ37222222222-2-2-2-2-2-222-2-222-2-2222222-2-222-2-222-2-222-2-2-2-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000
χ38222222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-222222-222-222-222-220000000000000000000000000000000000000000000000000
χ39222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-22222-2-2220000000000000000000000000000000000000000000000000
χ40222222222-2-2-2-2-2-2-2-222-2-222222222-2-2-2-222-2-22222-2-2-2-222-22-2-222-22-2-20000000000000000000000000000000000000000000000000
χ4122222-2-2-2-222-2-200002222000022-2-20000-2-2-2-2000022-2-2002-20000-220000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000
χ4222222-2-2-2-222-2-200002222000022-2-20000-2-2-2-2000022-2-2002-20000-22000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000
χ4322222-2-2-2-222-2-2000022-2-20000-2-2220000-2-2220000-2-22200220000-2-200000022-2-222-2-200000000-2-222-2-222000000000000000000000
χ4422222-2-2-2-222-2-2000022-2-20000-2-2220000-2-2220000-2-22200220000-2-2000000-2-222-2-2220000000022-2-222-2-2000000000000000000000
χ4522222-2-2-2-222-2-20000-2-2220000-2-222000022-2-20000-2-22200-2-200002200000022-2-2-2-2220000000022-2-2-2-222000000000000000000000
χ4622222-2-2-2-222-2-20000-2-2220000-2-222000022-2-20000-2-22200-2-2000022000000-2-22222-2-200000000-2-22222-2-2000000000000000000000
χ4722222-2-2-2-222-2-20000-2-2-2-2000022-2-200002222000022-2-200-2200002-20000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000
χ4822222-2-2-2-222-2-20000-2-2-2-2000022-2-200002222000022-2-200-2200002-2000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000
χ4922222-2-2-2-2-2-222000022220000-2-2220000-2-2-2-2000022-2-200-2200002-2002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i00000000000000000
χ5022222-2-2-2-2-2-222000022220000-2-2220000-2-2-2-2000022-2-200-2200002-200−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i00000000000000000
χ5122222-2-2-2-2-2-222000022-2-2000022-2-20000-2-2220000-2-22200-2-20000220022-2-20000000022-2-2-2-22200000000-2-22200000000000000000
χ5222222-2-2-2-2-2-222000022-2-2000022-2-20000-2-2220000-2-22200-2-200002200-2-22200000000-2-22222-2-20000000022-2-200000000000000000
χ5322222-2-2-2-2-2-2220000-2-222000022-2-2000022-2-20000-2-22200220000-2-20022-2-200000000-2-22222-2-200000000-2-22200000000000000000
χ5422222-2-2-2-2-2-2220000-2-222000022-2-2000022-2-20000-2-22200220000-2-200-2-2220000000022-2-2-2-2220000000022-2-200000000000000000
χ5522222-2-2-2-2-2-2220000-2-2-2-20000-2-22200002222000022-2-2002-20000-22002i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i00000000000000000
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χ57222-2-222-2-22-22-20022000022002-22-200-2-20000-2-2002-22-20200-200-2002000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i000000000000000000000
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χ81222-2-2-2-222-222-22200000000222-2-22-2-200000000-2-2-222-2-20000220000-2000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000
χ82222-2-2-2-222-222-22200000000222-2-22-2-200000000-2-2-222-2-20000220000-200000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000
χ83222-2-2-2-222-222-22200000000-2-2-222-2-2-200000000222-2-22-20000-2200002000000002-2-222-2-222-2-222-2-220000000000000000000000000
χ84222-2-2-2-222-222-22200000000-2-2-222-2-2-200000000222-2-22-20000-220000200000000-222-2-222-2-222-2-222-20000000000000000000000000
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χ86222-2-2-2-222-222-2-2-20000000022-222-22200000000-2-22-2-22200002-20000-200000000-222-22-2-222-2-22-222-20000000000000000000000000
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χ9044-44-44-44-4000000004-400-44-44000000004-400-44-4400000000000000000000000000000000000000000000000000000000000000000
χ9144-44-44-44-400000000-44004-4-4400000000-44004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ9244-44-44-44-400000000-4400-444-400000000-4400-444-400000000000000000000000000000000000000000000000000000000000000000
χ9344-44-4-44-4400004-44-44-400000000004-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ9444-44-4-44-4400004-4-44-4400000000004-4-444-400000000000000000000000000000000000000000000000000000000000000000000000
χ9544-44-4-44-440000-444-4-440000000000-444-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ9644-44-4-44-440000-44-444-40000000000-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ9744-4-444-4-4400004-400004-44-4000000-4400004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ9844-4-444-4-4400004-40000-44-44000000-440000-444-40000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-444-4-440000-4400004-4-440000004-400004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-444-4-440000-440000-444-40000004-40000-44-440000000000000000000000000000000000000000000000000000000000000000000
χ10144-4-44-444-40000004-4004-400-44000000-4400-44004-400000000000000000000000000000000000000000000000000000000000000000
χ10244-4-44-444-40000004-400-44004-4000000-44004-400-4400000000000000000000000000000000000000000000000000000000000000000
χ10344-4-44-444-4000000-44004-4004-40000004-400-4400-4400000000000000000000000000000000000000000000000000000000000000000
χ10444-4-44-444-4000000-4400-4400-440000004-4004-4004-400000000000000000000000000000000000000000000000000000000000000000
χ10516-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i000000000000000
χ10616-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i000000000000000

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