Finite Group Databasebeta

← Group #72310383

Character table — Group #72310383

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size11222222244444444448888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464646464646464
order1222222222222222222222222222222222442222244444444444444444442244444444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1111111111-11-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-111111111-11-11-1-111-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111-1-1111111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1711111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1111111111111-1-1-1-111iiii−i−i−i−i-1-1-1-11111-1-1-1-111-1-1-1-1-1-1ii−i−i1111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1111111111111-1-1-1-111−i−i−i−iiiii-1-1-1-11111-1-1-1-111-1-1-1-1-1-1−i−iii1111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-111111111-1-1-1-1111111iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1111111ii−i−i-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2011111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-111111111-1-1-1-1111111−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1111111−i−iii-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2111111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111iiii−i−i−i−i1111-1-1-1-111111-1-11-1-111−i−iii11-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2211111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111−i−i−i−iiiii1111-1-1-1-111111-1-11-1-111ii−i−i11-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2311111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111iiii−i−i−i−i1111-1-1-1-11111-111-111-1-1−i−iii-1-111ii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2411111111111-111-1-1-111111-1-1-1-111-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111−i−i−i−iiiii1111-1-1-1-11111-111-111-1-1ii−i−i-1-111−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ2511111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111111111111-11-1-1-111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111-1-1111-1-1ii−i−i-1-111−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111111111111-11-1-1-111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111-1-1111-1-1−i−iii-1-111ii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2711111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-111111111111111-11-1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-11111-111-1-1-111ii−i−i11-1-1−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ2811111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-111111111111111-11-1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-11111-111-1-1-111−i−iii11-1-1ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iii
χ2911111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1-1-111-1-11111−i−iii-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ3011111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1-1-111-1-11111ii−i−i-1-1-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ3111111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i11111111-1-1-1-1-1-111-1-1-1-1−i−iii1111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ3211111111111-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii11111111-1-1-1-1-1-111-1-1-1-1ii−i−i1111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ33222222222222222222222222222222-2-2-2-222-2-22-2-2-2-2-2-22-2-222222222-2-2-2-200000000-2-20000000022-2-222-2-222-2-20000000000000000000000000000000000000000
χ34222222222222222222222222222222-2-2-2-222-2-22-2-2-2-2-2-22-2-22222-2-2-2-2222200000000-2-200000000-2-222-2-222-2-2220000000000000000000000000000000000000000
χ3522222222222222222222222222-2-222-2-2-2-2-2-2-2-2-222-2-2-2-2-222-2-2-2-22222-2-2-2-200000000220000000022-2-2-2-222-2-2220000000000000000000000000000000000000000
χ3622222222222222222222222222-2-222-2-2-2-2-2-2-2-2-222-2-2-2-2-222-2-2-2-2-2-2-2-22222000000002200000000-2-22222-2-222-2-20000000000000000000000000000000000000000
χ3722222222222-222-2-2-222222-2-2-2-222-2-2222222-2-2222-2-222222-2-2-2-22222-2-2-2-200000000-2-200000000-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ3822222222222-222-2-2-222222-2-2-2-222-2-2222222-2-2222-2-222222-2-2-2-2-2-2-2-2222200000000-2-20000000022-2-2-2-22222-2-20000000000000000000000000000000000000000
χ3922222222222-222-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-222-2-2-222222222-2-2-2-2000000002200000000-2-222-2-22222-2-20000000000000000000000000000000000000000
χ4022222222222-222-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-222-2-2-22222-2-2-2-2222200000000220000000022-2-222-2-2-2-2220000000000000000000000000000000000000000
χ41222222222-2-2222-2-2222-2-2-222-2-2222-222-2-2222-2-22-22-22-2-22-222-2-200000000020200-2-22-2000000000000000000000-202002-20000002-2000000000000000000000000
χ42222222222-2-2222-2-2222-2-2-222-2-2222-222-2-2222-2-22-22-22-2-22-222-2-2000000000-20-200222-200000000000000000000020-200-22000000-22000000000000000000000000
χ43222222222-2-2222-2-2222-2-2-222-2-2222-2-2-22222-22-2-22-22-22-2-2222-2-2000000002020-2-200-2200000000000000000000-20202-20000002-200000000000000000000000000
χ44222222222-2-2222-2-2222-2-2-222-2-2222-2-2-22222-22-2-22-22-22-2-2222-2-200000000-20-202200-220000000000000000000020-20-22000000-2200000000000000000000000000
χ45222222222-2-2222-2-2222-2-2-222-2-2-2-22-222-2-2-2-22-22-222-22-22-22-2-22200000000020200-2-2-22000000000000000000000-20200-22000000-22000000000000000000000000
χ46222222222-2-2222-2-2222-2-2-222-2-2-2-22-222-2-2-2-22-22-222-22-22-22-2-222000000000-20-20022-2200000000000000000000020-2002-20000002-2000000000000000000000000
χ47222222222-2-2222-2-2222-2-2-222-2-2-2-22-2-2-222-2-2-2222-2-22-2222-2-2-222000000002020-2-2002-200000000000000000000-2020-22000000-2200000000000000000000000000
χ48222222222-2-2222-2-2222-2-2-222-2-2-2-22-2-2-222-2-2-2222-2-22-2222-2-2-22200000000-20-2022002-20000000000000000000020-202-20000002-200000000000000000000000000
χ49222222222-2-22-2-2-2-22-2-222-22-22-200-2222-2-2002-2000-22-2200000002i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i00002-22-2
χ50222222222-2-22-2-2-2-22-2-222-22-22-200-2222-2-2002-2000-22-2200000002i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i2i−2i000000000000000000000000000000000000−2i2i−2i2i0000-22-22
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χ52222222222-2-22-2-2-2-22-2-222-22-22-200-2222-2-2002-2000-22-220000000−2i−2i2i2i−2i−2i2i2i000000000000000000−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i00002-22-2
χ53222222222-2-22-2-2-2-22-2-222-22-22-200-22-2-22200-220002-22-200000002i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i−2i2i000000000000000000000000000000002-22-200002i−2i2i−2i0000
χ54222222222-2-22-2-2-2-22-2-222-22-22-200-22-2-22200-220002-22-200000002i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i−2i2i00000000000000000000000000000000-22-220000−2i2i−2i2i0000
χ55222222222-2-22-2-2-2-22-2-222-22-22-200-22-2-22200-220002-22-20000000−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i2i−2i000000000000000000000000000000002-22-20000−2i2i−2i2i0000
χ56222222222-2-22-2-2-2-22-2-222-22-22-200-22-2-22200-220002-22-20000000−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i2i−2i00000000000000000000000000000000-22-2200002i−2i2i−2i0000
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χ58222222222-2-2-22222-222-2-2-2-2-22222-2222-2-222-22-22-2-222-2-22-2-2-22200000000-20-20-2-200-220000000000000000000020202-2000000-2200000000000000000000000000
χ59222222222-2-2-22222-222-2-2-2-2-22222-22-2-222222-2-2-222-2-22-2-22-2-22200000000020200222-2000000000000000000000-20-200-220000002-2000000000000000000000000
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χ62222222222-2-2-22222-222-2-2-2-2-222-2-2-2222-2-2-2-2-222-22-222-22-2222-2-200000000-20-20-2-2002-2000000000000000000002020-220000002-200000000000000000000000000
χ63222222222-2-2-22222-222-2-2-2-2-222-2-2-22-2-222-2-22-222-22-2-2222-222-2-20000000002020022-22000000000000000000000-20-2002-2000000-22000000000000000000000000
χ64222222222-2-2-22222-222-2-2-2-2-222-2-2-22-2-222-2-22-222-22-2-2222-222-2-2000000000-20-200-2-2-2200000000000000000000020200-220000002-2000000000000000000000000
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χ66222222222-2-2-2-2-222-2-2-222-2-22-22002-222-2-200-220002-2-2200000002i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i00002-2-220000
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χ69222222222-2-2-2-2-222-2-2-222-2-22-22002-2-2-222002-2000-222-200000002i2i−2i−2i2i2i−2i−2i000000000000000000−2i2i−2i2i0000000000000000000000000000000000002-2-220000−2i2i2i−2i
χ70222222222-2-2-2-2-222-2-2-222-2-22-22002-2-2-222002-2000-222-200000002i2i−2i−2i2i2i−2i−2i000000000000000000−2i2i−2i2i000000000000000000000000000000000000-222-200002i−2i−2i2i
χ71222222222-2-2-2-2-222-2-2-222-2-22-22002-2-2-222002-2000-222-20000000−2i−2i2i2i−2i−2i2i2i0000000000000000002i−2i2i−2i0000000000000000000000000000000000002-2-2200002i−2i−2i2i
χ72222222222-2-2-2-2-222-2-2-222-2-22-22002-2-2-222002-2000-222-20000000−2i−2i2i2i−2i−2i2i2i0000000000000000002i−2i2i−2i000000000000000000000000000000000000-222-20000−2i2i2i−2i
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Here i is the imaginary unit (i² = −1).